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VisSim
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2d_text_instruct_test_v2

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2steps_hard_no_101
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right and significantly downward. <shapeB_step_0> - Shift the ellipse a little to the left. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [10, -30]], ['translate', [-10, 0]]]
hard
{"instance_id": 101, "shape_A": {"name": "rectangle", "facecolor": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.68920971753934, 23.22743674000318]}, "shape_B": {"name": "ellipse", "facecolor": [0.044870105594161824, 0.8026445564168357, 0.404462470449673], "edgecolor": "black", "center": [0.0, 1.3877787807814457e-16], "size": [33.653755384270276, 22.561451605297073]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_101.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_101.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_101.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.653999999999996, 22.561999999999998], "center": [-4.440892098500626e-16, -1.7763568394002506e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [15.602, 12.856], "center": [-6.883382752675971e-16, -1.4432899320127036e-16], "color": [0.8191676326546823, 0.2448581292618861, 0.6632202698728074]}, {"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [-2.6645352591003756e-16, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [25.714, 31.204], "center": [5.551115123125783e-16, -4.884981308350689e-16], "color": [0.38996033224156956, 0.9860281441832246, 0.245704492474773]}], "medium": [{"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [-2.6645352591003756e-16, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [22.561999999999998, 33.653999999999996], "center": [-1.7763568394002506e-16, -4.440892098500626e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [33.653999999999996, 22.561999999999998], "center": [-4.440892098500626e-16, -1.7763568394002506e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [11.280999999999999, 16.828], "center": [0.00032500000000031115, -5.000000000014993e-05], "color": [0.2922062138320717, 0.20047791360606304, 0.6643012460125295]}], "hard": [{"name": "ellipse", "size": [25.714, 31.203999999999997], "center": [0.0, -5.329070518200751e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [16.826, 11.28], "center": [4.440892098500626e-16, 4.163336342344337e-17], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [33.653999999999996, 22.561999999999998], "center": [-4.440892098500626e-16, -1.7763568394002506e-16], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [-2.6645352591003756e-16, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [32.69, 23.227999999999998], "center": [10.0, -29.999999999999996], "color": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621]}, {"name": "rectangle", "size": [32.69, 23.227999999999998], "center": [0.0, -29.999999999999996], "color": [0.008981558192268757, 0.9166664011286465, 0.5050242899246621]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [10.000000000000002, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}, {"name": "ellipse", "size": [33.654, 22.561999999999998], "center": [-2.6645352591003756e-16, -30.000000000000018], "color": [0.044870105594161824, 0.8026445564168357, 0.404462470449673]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_101.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_101.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_101.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_101.png", "instructions": [["translate", [10, -30]], ["translate", [-10, 0]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right and significantly downward. <shapeB_step_0>\n- Shift the ellipse a little to the left. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "D"}
2steps_hard_no_58
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Reduce the size of the triangle, making it smaller. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['rotate', 30], ['scale', 0.5]]
hard
{"instance_id": 58, "shape_A": {"name": "square", "facecolor": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.97502196345081, 32.97502196345081]}, "shape_B": {"name": "triangle", "facecolor": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437], "edgecolor": "black", "center": [2.9605947323337506e-16, 0.0], "size": [22.22020074526217, 65.93177331374169]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_58.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_58.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_58.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.8972026556024508, 0.29418970966334046, 0.44882550514848696]}, {"name": "triangle", "size": [25.442, 25.031], "center": [3.2853333333333334, 3.1101666666666667], "color": [0.8254680219164111, 0.9787479157847337, 0.6649664479842091]}], "medium": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06100000000001], "center": [-6.571000000000001, -6.220499999999999], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.031230003483582847, 0.6310233902195113, 0.20404491147195392]}], "hard": [{"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [50.884, 50.06099999999999], "center": [-6.571000000000001, -6.220499999999998], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [20.777, 65.913], "center": [0.6694999999999999, -10.393166666666668], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.33483333333333337, -5.196666666666666], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.044, 45.044], "center": [0.0, 0.0], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}, {"name": "square", "size": [22.522, 22.522], "center": [0.0, -2.220446049250313e-16], "color": [0.28987798506674867, 0.6018293120096013, 0.06120654954074456]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [20.777, 65.913], "center": [0.0, 0.0003333333333337407], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}, {"name": "triangle", "size": [10.389, 32.956], "center": [0.00033333333333344467, 0.0003333333333331486], "color": [0.25266266881353594, 0.5200834580091733, 0.7701724411654437]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_58.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_58.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_58.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_58.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "A"}
2steps_hard_no_119
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['rotate', 60], ['translate', [30, 10]]]
hard
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004], "edgecolor": "black", "center": [-3.552713678800501e-16, 1.4210854715202005e-15], "size": [57.45433747497334, 60.4110654735715]}, "shape_B": {"name": "circle", "facecolor": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847], "edgecolor": "black", "center": [1.0658141036401502e-15, -2.2204460492503132e-17], "size": [67.50130422433172, 67.50130422433172]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [105.02, 98.004], "center": [7.500000000115747e-05, -7.500000000049134e-05], "color": [0.19925162576967737, 0.8293113010689808, 0.6242595620896838]}, {"name": "circle", "size": [33.75, 33.75], "center": [1.7763568394002506e-16, 9.547918011776346e-16], "color": [0.9090142236860578, 0.7190556703488146, 0.891207984243689]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "medium": [{"name": "circle", "size": [44.708, 42.676], "center": [7.499999999769358e-05, -2.4999999998209787e-05], "color": [0.8206897063777058, 0.17990269890163313, 0.9582072620948673]}, {"name": "circle", "size": [62.251000000000005, 82.62899999999999], "center": [-5.000000000183746e-05, -0.0001749999999978158], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "hard": [{"name": "circle", "size": [54.93612988376452, 67.408], "center": [-6.217248937900876e-16, -5.10702591327572e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [33.75, 33.75], "center": [1.7763568394002506e-16, 8.881784197001252e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [60.08, 59.090999999999994], "center": [7.105427357601002e-16, 3.552713678800501e-16], "color": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004]}, {"name": "pentagon", "size": [60.080000000000005, 59.091], "center": [30.0, 9.999999999999998], "color": [0.3628331336161923, 0.3181537710579265, 0.07237053133625004]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.408, 67.408], "center": [-4.440892098500626e-16, 6.217248937900876e-16], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}, {"name": "circle", "size": [67.408, 67.408], "center": [30.000000000000007, 10.000000000000004], "color": [0.6316884315781659, 0.43310721074800496, 0.9987398031319847]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_119.png", "instructions": [["rotate", 60], ["translate", [30, 10]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "D"}
2steps_hard_no_75
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, 10]], ['rotate', -60]]
hard
{"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156], "edgecolor": "black", "center": [-4.440892098500626e-16, -2.831068712794149e-16], "size": [32.94666450665948, 22.631616809247262]}, "shape_B": {"name": "triangle", "facecolor": [0.954358485726285, 0.20291821457172288, 0.057020052366765106], "edgecolor": "black", "center": [2.3684757858670005e-15, 2.9605947323337506e-16], "size": [45.21850340862652, 61.32156296152745]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_75.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [22.609, 30.660999999999998], "center": [0.7951666666666668, -1.2491666666666665], "color": [0.45799852793517837, 0.003745882748178664, 0.3474825986576122]}, {"name": "triangle", "size": [27.031, 66.797], "center": [2.1888333333333336, 7.418499999999999], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.7178077416143416, 0.07365014399221659, 0.828208758407564]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "medium": [{"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [33.398, 13.516], "center": [3.709, -1.0943333333333334], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [23.567396410018418, 58.238], "center": [1.9083682750223308, -6.467934233573364], "color": [0.48284594380435386, 0.5827123387789055, 0.5716571664062963]}], "hard": [{"name": "triangle", "size": [45.21900000000001, 61.321], "center": [1.5905000000000022, -2.4985], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 26.67710182355163], "center": [5.697377794567121, 2.0920164840825577], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [61.322, 45.218], "center": [2.498333333333333, 1.5903333333333336], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.946, 22.631999999999998], "center": [-30.0, 10.000000000000004], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}, {"name": "ellipse", "size": [25.540000000000003, 30.634], "center": [-29.99997499999999, 9.999999999999998], "color": [0.6449646778112202, 0.7254909738760252, 0.9883519577568156]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [45.219, 61.321], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}, {"name": "triangle", "size": [39.416, 58.238], "center": [-30.0, 10.0], "color": [0.954358485726285, 0.20291821457172288, 0.057020052366765106]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_75.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, 10]], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}
2steps_hard_no_13
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_0> - Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, -10]], ['flip', 'vertical']]
hard
{"instance_id": 13, "shape_A": {"name": "hexagon", "facecolor": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.63854756197547, 60.30875127132164]}, "shape_B": {"name": "circle", "facecolor": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218], "edgecolor": "black", "center": [-3.552713678800501e-16, -7.105427357601002e-16], "size": [66.33240467589097, 66.33240467589097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_13.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.29057949547925066, 0.3452935808985811, 0.672373713051317]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [43.016, 42.008], "center": [1.3322676295501878e-16, 7.500000000106865e-05], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [74.642, 73.044], "center": [-8.881784197001252e-16, -2.7089441800853818e-15], "color": [0.9813354962348673, 0.6500863878069779, 0.9583264528051965]}], "medium": [{"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [75.96799999999999, 78.316], "center": [4.618527782440651e-15, 0.0], "color": [0.7761467451223322, 0.9642898231260307, 0.29417772180449153]}, {"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [33.166, 33.166], "center": [-0.0002000000000005997, -0.00024999999999941735], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}], "hard": [{"name": "circle", "size": [66.332, 66.332], "center": [-7.105427357601002e-16, -1.5099033134902129e-15], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [11.595943423889608, 66.332], "center": [-0.00016685496622121932, 1.1918211868078288e-05], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [37.79, 41.06], "center": [6.217248937900876e-16, 6.217248937900876e-16], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [69.638, 60.30800000000001], "center": [-30.0, -10.000000000000002], "color": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693]}, {"name": "hexagon", "size": [69.638, 60.30800000000001], "center": [30.0, -10.000000000000002], "color": [0.21558950436894597, 0.8245541437076062, 0.1905787640570693]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.332, 66.332], "center": [-30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}, {"name": "circle", "size": [66.332, 66.332], "center": [30.000000000000007, -10.000000000000002], "color": [0.35513897858473564, 0.6336611804696446, 0.7999127156435218]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_13.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "B"}
2steps_hard_no_38
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['rotate', 30], ['translate', [-30, -30]]]
hard
{"instance_id": 38, "shape_A": {"name": "hexagon", "facecolor": [0.48469771433833664, 0.3141682789085136, 0.8832135016941292], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [62.48226469685952, 54.11122851346394]}, "shape_B": {"name": "pentagon", "facecolor": [0.2000583397160205, 0.810728592022073, 0.18819505689833826], "edgecolor": "black", "center": [-1.4210854715202005e-15, 7.105427357601002e-16], "size": [57.67154235991542, 60.63944820500811]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_38.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_38.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_38.png"}, "answer_choices_info": {"medium": [{"name": "pentagon", "size": [66.812, 73.19900000000001], "center": [-0.15879999999999866, -1.5152999999999999], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [28.836, 30.319999999999997], "center": [-1.5219999999999991, -3.552713678800501e-16], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [-29.999999999999993, -30.0002], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [2.0479999999999987, -1.0296999999999996], "color": [0.601812979235192, 0.16525728941573903, 0.4916822573555676]}], "hard": [{"name": "pentagon", "size": [28.836, 30.32], "center": [-1.5219999999999985, 3.552713678800501e-16], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [2.0479999999999987, -1.0296999999999996], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [35.461, 40.931], "center": [1.7902999999999998, -0.7724999999999994], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [-29.999999999999993, -30.0002], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.112, 62.482], "center": [0.0, 2.9605947323337506e-16], "color": [0.48469771433833664, 0.3141682789085136, 0.8832135016941292]}, {"name": "hexagon", "size": [54.111999999999995, 62.482], "center": [-29.999999999999996, -30.000000000000004], "color": [0.48469771433833664, 0.3141682789085136, 0.8832135016941292]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.314, 60.307], "center": [7.105427357601002e-16, -0.00020000000000024442], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}, {"name": "pentagon", "size": [59.314, 60.307], "center": [-29.999999999999993, -30.0002], "color": [0.2000583397160205, 0.810728592022073, 0.18819505689833826]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_38.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_38.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_38.png", "instructions": [["rotate", 30], ["translate", [-30, -30]]], "correct_answer": {"medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"medium": "C", "hard": "D"}
2steps_hard_no_25
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <shapeB_step_0> - Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['rotate', 90]]
hard
{"instance_id": 25, "shape_A": {"name": "ellipse", "facecolor": [0.6810664843571737, 0.25428803449433146, 0.602149326937957], "edgecolor": "black", "center": [1.1546319456101628e-15, -2.886579864025407e-16], "size": [32.11472429952858, 24.148747825133484]}, "shape_B": {"name": "hexagon", "facecolor": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.52871235399222, 54.151453364487125]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_25.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.528, 54.152], "center": [-2.9605947323337506e-16, 0.0], "color": [0.6963167072671622, 0.5249619887533956, 0.6545211917783339]}, {"name": "hexagon", "size": [54.152, 62.53], "center": [-5.921189464667501e-16, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [65.626, 70.356], "center": [0.0, 0.0], "color": [0.7330422359030663, 0.17063425612748628, 0.37465138872265835]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "medium": [{"name": "hexagon", "size": [54.152, 62.528000000000006], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [8.004678334339168, 31.263999999999996], "center": [-9.826996580160803e-05, 5.921189464667501e-16], "color": [0.665322278309207, 0.7892071678312036, 0.0418593443694848]}, {"name": "hexagon", "size": [62.528000000000006, 54.152], "center": [2.9605947323337506e-16, 0.0], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "hard": [{"name": "hexagon", "size": [54.152, 62.528], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [9.965451780581772, 31.264], "center": [-7.401486830834377e-17, -1.4802973661668753e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [69.608, 63.538], "center": [0.0, -5.921189464667501e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.058, 12.074], "center": [1.1102230246251565e-16, -1.7763568394002506e-16], "color": [0.6810664843571737, 0.25428803449433146, 0.602149326937957]}, {"name": "ellipse", "size": [12.074, 16.058], "center": [1.7763568394002506e-16, 1.1102230246251565e-16], "color": [0.6810664843571737, 0.25428803449433146, 0.602149326937957]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [31.264, 27.076], "center": [2.9605947323337506e-16, 0.0], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}, {"name": "hexagon", "size": [27.076, 31.264], "center": [0.0, 2.9605947323337506e-16], "color": [0.9517782454386701, 0.8415158999072567, 0.01233738747783475]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_25.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_25.png", "instructions": [["scale", 0.5], ["rotate", 90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "D"}
2steps_hard_no_47
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0> - Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', -60], ['translate', [-30, -30]]]
hard
{"instance_id": 47, "shape_A": {"name": "square", "facecolor": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.341612199366306, 31.341612199366306]}, "shape_B": {"name": "hexagon", "facecolor": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.2646842163225, 59.11895071265788]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_47.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.264, 59.118], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [34.132000000000005, 29.56], "center": [-5.921189464667501e-16, 0.0], "color": [0.9321611112602266, 0.17789857770468176, 0.9450243886064787]}, {"name": "hexagon", "size": [68.264, 69.814], "center": [-1.0362081563168128e-15, -1.1842378929335002e-15], "color": [0.18660179177701652, 0.7614982078812117, 0.7224208413763429]}, {"name": "hexagon", "size": [68.26400000000001, 59.117999999999995], "center": [-30.0, -30.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}], "medium": [{"name": "hexagon", "size": [29.56, 34.132], "center": [0.0, -2.9605947323337506e-16], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.26400000000001, 59.117999999999995], "center": [-30.0, -30.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.264, 59.118], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.264, 82.318], "center": [-1.1842378929335002e-15, -1.7763568394002505e-15], "color": [0.7577648049444989, 0.00672652774812299, 0.3609865913523427]}], "hard": [{"name": "hexagon", "size": [59.118, 68.264], "center": [0.0, 1.7763568394002505e-15], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [34.132, 29.56], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.26400000000001, 59.117999999999995], "center": [-30.0, -30.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.264, 59.118], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [42.814, 42.814], "center": [-2.220446049250313e-16, 0.0], "color": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583]}, {"name": "square", "size": [42.81399999999999, 42.81399999999999], "center": [-30.0, -29.999999999999996], "color": [0.6823387267082941, 0.7924052345565082, 0.36868091711306583]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.264, 59.118], "center": [-5.921189464667501e-16, 0.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}, {"name": "hexagon", "size": [68.26400000000001, 59.117999999999995], "center": [-30.0, -30.0], "color": [0.03831579559023779, 0.6730112442733756, 0.1679196602076074]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_47.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_47.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_47.png", "instructions": [["rotate", -60], ["translate", [-30, -30]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "C"}
2steps_hard_no_79
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0> - Shift the triangle a little to the right and slightly upward. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [30, 10]], ['translate', [10, 10]]]
hard
{"instance_id": 79, "shape_A": {"name": "circle", "facecolor": [0.09381602193378857, 0.38961179716607963, 0.7759808678382729], "edgecolor": "black", "center": [5.329070518200751e-16, -7.993605777301127e-16], "size": [69.85271489242153, 69.85271489242153]}, "shape_B": {"name": "triangle", "facecolor": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [55.88769434334827, 41.41621836894479]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_79.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_79.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_79.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_79.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_79.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_79.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_79.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [55.888, 41.416], "center": [7.140999999999999, 4.836000000000001], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [45.3, 60.551], "center": [0.20199999999999937, 1.0124999999999993], "color": [0.17165085409834469, 0.17073600541781841, 0.8509839769087465]}, {"name": "triangle", "size": [55.888, 41.416], "center": [40.0, 20.0], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [63.459999999999994, 33.759], "center": [6.589999999999999, -1.8984999999999996], "color": [0.7063472041478874, 0.18025969941638342, 0.13260411955756124]}], "medium": [{"name": "triangle", "size": [55.888, 41.416], "center": [40.0, 20.0], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [45.301, 60.551], "center": [0.2014999999999998, 1.0124999999999993], "color": [0.15734191755300198, 0.2795105892766321, 0.8085098403452637]}, {"name": "triangle", "size": [52.242, 78.262], "center": [-0.36899999999999994, -2.9269999999999996], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [55.888, 41.416], "center": [7.140999999999999, 4.836000000000001], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}], "hard": [{"name": "triangle", "size": [55.888000000000005, 29.730020548376924], "center": [5.803686101481247, -1.6718256119340271], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [27.944000000000003, 20.708], "center": [3.5703333333333327, 2.4180000000000006], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [55.888, 41.416], "center": [7.140999999999999, 4.836000000000001], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [55.888, 41.416], "center": [40.0, 20.0], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [69.852, 69.852], "center": [30.000000000000007, 10.000000000000002], "color": [0.09381602193378857, 0.38961179716607963, 0.7759808678382729]}, {"name": "circle", "size": [69.852, 69.852], "center": [40.000000000000014, 19.999999999999996], "color": [0.09381602193378857, 0.38961179716607963, 0.7759808678382729]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [55.888, 41.416], "center": [30.0, 9.999999999999998], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}, {"name": "triangle", "size": [55.888, 41.416], "center": [40.0, 20.0], "color": [0.33767490666486366, 0.9579331623149095, 0.046141457934768315]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_79.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_79.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_79.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_79.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_79.png", "instructions": [["translate", [30, 10]], ["translate", [10, 10]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle a little to the right and slightly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "D"}
2steps_hard_no_41
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Reduce the size of the square, making it smaller. <shapeB_step_0> - Shift the square significantly upward. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5], ['translate', [0, 30]]]
hard
{"instance_id": 41, "shape_A": {"name": "circle", "facecolor": [0.4349376616605507, 0.9498169402127793, 0.8002794462399574], "edgecolor": "black", "center": [-7.993605777301127e-16, 1.2656542480726785e-15], "size": [64.49271338170026, 64.49271338170026]}, "shape_B": {"name": "square", "facecolor": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.50141253663276, 31.50141253663276]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_41.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_41.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_41.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_41.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_41.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_41.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_41.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_41.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [43.032, 43.032], "center": [0.0, 0.0], "color": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919]}, {"name": "square", "size": [15.75, 15.75], "center": [0.0, 0.0], "color": [0.5340900097883386, 0.5523592553105736, 0.7796747991135095]}, {"name": "square", "size": [15.75, 15.75], "center": [0.0, 30.0], "color": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919]}, {"name": "square", "size": [31.502, 31.502], "center": [0.0, 0.0], "color": [0.8552338796469078, 0.9256291537678024, 0.3890265193637811]}], "hard": [{"name": "square", "size": [15.75, 15.75], "center": [0.0, 30.0], "color": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919]}, {"name": "square", "size": [15.75, 15.75], "center": [0.0, 0.0], "color": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919]}, {"name": "square", "size": [43.032, 43.032], "center": [0.0, -2.220446049250313e-16], "color": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919]}, {"name": "square", "size": [31.501999999999995, 31.502000000000002], "center": [8.881784197001252e-16, 0.0], "color": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [32.246, 32.246], "center": [0.0, -4.1078251911130794e-16], "color": [0.4349376616605507, 0.9498169402127793, 0.8002794462399574]}, {"name": "circle", "size": [32.246, 32.245999999999995], "center": [0.0, 30.0], "color": [0.4349376616605507, 0.9498169402127793, 0.8002794462399574]}], "tranformed_B_sequence_info": [{"name": "square", "size": [15.75, 15.75], "center": [0.0, 0.0], "color": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919]}, {"name": "square", "size": [15.75, 15.75], "center": [0.0, 30.0], "color": [0.4549525004933962, 0.7191072075886662, 0.5471231810017919]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_41.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_41.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_41.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_41.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_41.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_41.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_41.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_41.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_41.png", "instructions": [["scale", 0.5], ["translate", [0, 30]]], "correct_answer": {"easy": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Shift the square significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "hard": "A"}
2steps_hard_no_89
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0> - Shift the rectangle a little to the right and significantly upward. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [30, -10]], ['translate', [10, 30]]]
hard
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.580039808982136, 34.580039808982136]}, "shape_B": {"name": "rectangle", "facecolor": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.118784938666483, 23.606510574636424]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_89.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8178975822866777, 0.5881661976478377, 0.6351931009826685]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [18.944, 17.752], "center": [1.1102230246251565e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [37.702, 42.17], "center": [-8.881784197001252e-16, -1.3877787807814457e-16], "color": [0.6490534260394974, 0.6858670803730986, 0.7549091926683313]}], "medium": [{"name": "rectangle", "size": [37.885999999999996, 35.502], "center": [8.881784197001252e-16, 0.0], "color": [0.6467323782040696, 0.8861165257566785, 0.9508078565096065]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [15.06, 11.804], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "hard": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [-8.881784197001252e-16, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [35.502, 37.886], "center": [0.0, 0.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [11.803999999999998, 15.06], "center": [-4.440892098500626e-16, -8.881784197001252e-16], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.58, 34.58], "center": [30.0, -10.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}, {"name": "square", "size": [34.58, 34.58], "center": [40.0, 20.0], "color": [0.4003073913273597, 0.37702966273481175, 0.6606894506741379]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.117999999999995, 23.606], "center": [30.0, -10.000000000000002], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}, {"name": "rectangle", "size": [30.118, 23.606], "center": [40.0, 20.0], "color": [0.8196171286340513, 0.1421170007291448, 0.9598908530480329]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_89.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_89.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_89.png", "instructions": [["translate", [30, -10]], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the rectangle a little to the right and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
2steps_hard_no_93
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right. <shapeB_step_0> - Shift the ellipse to the right by a significant amount and significantly upward. <shapeB_step_1> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [10, 0]], ['translate', [30, 30]]]
hard
{"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.646502064015266, 23.27968513406261]}, "shape_B": {"name": "ellipse", "facecolor": [0.775060683475521, 0.07569638668142942, 0.5408381199364256], "edgecolor": "black", "center": [-1.7763568394002506e-16, -9.2148511043888e-16], "size": [32.55746885265956, 22.304036508160745]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_93.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 2. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 2. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_no_93.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_93.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_93.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_93.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_93.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_93.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [32.558, 22.304], "center": [1.7763568394002506e-16, 2.1094237467877973e-16], "color": [0.8900916126152082, 0.8398410252200438, 0.8975706031494339]}, {"name": "ellipse", "size": [32.55800000000001, 22.304000000000002], "center": [40.00000000000001, 30.0], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [25.194000000000003, 30.262], "center": [-2.6645352591003756e-16, 1.7763568394002506e-16], "color": [0.44311044450650305, 0.3003625013973271, 0.3645498743305482]}, {"name": "ellipse", "size": [16.278000000000002, 11.152], "center": [5.329070518200751e-16, 1.7486012637846215e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}], "medium": [{"name": "ellipse", "size": [22.304000000000002, 32.558], "center": [0.0, 5.329070518200751e-16], "color": [0.8924937804168516, 0.4275189678882414, 0.4160107380687015]}, {"name": "ellipse", "size": [32.55800000000001, 22.304000000000002], "center": [40.00000000000001, 30.0], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [15.13, 12.598], "center": [-2.4424906541753446e-16, -4.662936703425658e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [32.558, 22.304], "center": [1.7763568394002506e-16, 2.1094237467877973e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}], "hard": [{"name": "ellipse", "size": [16.28, 11.152000000000001], "center": [-1.3322676295501878e-16, 4.999999999981686e-05], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [25.194, 30.262], "center": [-1.6431300764452318e-15, 1.0658141036401502e-15], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [32.558, 22.304], "center": [1.7763568394002506e-16, 2.1094237467877973e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [32.55800000000001, 22.304000000000002], "center": [40.00000000000001, 30.0], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [30.646, 23.28], "center": [10.0, 0.0], "color": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554]}, {"name": "rectangle", "size": [30.646, 23.28], "center": [40.0, 30.0], "color": [0.5443017499435369, 0.24775111195336064, 0.42429836503955554]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [32.558, 22.304], "center": [10.000000000000004, 2.1094237467877973e-16], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}, {"name": "ellipse", "size": [32.55800000000001, 22.304000000000002], "center": [40.00000000000001, 30.0], "color": [0.775060683475521, 0.07569638668142942, 0.5408381199364256]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_93.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_93.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_93.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_93.png", "instructions": [["translate", [10, 0]], ["translate", [30, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right. <shapeB_step_0>\n- Shift the ellipse to the right by a significant amount and significantly upward. <shapeB_step_1>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
3steps_easy_no_81
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right. <shapeB_step_0> - Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_1> - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [10, 0]], ['rotate', -90], ['rotate', 30]]
easy
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.17912552445489, 22.988101159119363]}, "shape_B": {"name": "hexagon", "facecolor": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [62.09967199412151, 53.77989351359028]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [31.05, 26.89], "center": [-1.4802973661668753e-16, 0.0], "color": [0.7864275982321575, 0.6298749374904932, 0.9774570459046821]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [2.9605947323337506e-16, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [53.78, 62.1], "center": [0.0, -5.921189464667501e-16], "color": [0.6880611595314974, 0.8533321081194934, 0.9749882396852965]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}], "medium": [{"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [53.78, 62.1], "center": [0.0, -5.921189464667501e-16], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [2.9605947323337506e-16, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [31.05, 26.89], "center": [0.0003333333333332966, 0.0], "color": [0.3189332179187867, 0.31175823597036045, 0.5395762419424311]}], "hard": [{"name": "hexagon", "size": [31.049999999999997, 26.89], "center": [-0.0003333333333337407, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [53.78, 62.1], "center": [0.0, -5.921189464667501e-16], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [2.9605947323337506e-16, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.18, 22.988], "center": [10.0, 0.0], "color": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854]}, {"name": "rectangle", "size": [22.988, 34.18], "center": [10.0, 0.0], "color": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854]}, {"name": "rectangle", "size": [36.998, 41.094], "center": [10.0, 0.0], "color": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [53.78, 62.1], "center": [10.0, -5.921189464667501e-16], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_81.png", "instructions": [["translate", [10, 0]], ["rotate", -90], ["rotate", 30]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}
3steps_easy_no_14
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon a little to the left and slightly upward. <shapeB_step_0> - Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1> - Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, 10]], ['translate', [30, -10]], ['rotate', 90]]
easy
{"instance_id": 14, "shape_A": {"name": "ellipse", "facecolor": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.106226635438361e-17], "size": [32.809424916835184, 21.121536930740355]}, "shape_B": {"name": "pentagon", "facecolor": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [57.78802273444106, 60.76192291868695]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_14.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_14.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [57.788, 60.762], "center": [-3.0503999999999984, -7.105427357601002e-16], "color": [0.6826588517015352, 0.18697658153232366, 0.17379513185530515]}, {"name": "pentagon", "size": [60.762, 57.788], "center": [20.0, -0.0004000000000008441], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [28.894, 30.379999999999995], "center": [-1.5253999999999999, 1.4210854715202005e-15], "color": [0.5138468527745739, 0.3771982270526456, 0.42850781440073427]}, {"name": "pentagon", "size": [70.971, 70.50999999999999], "center": [-2.901699999999999, 0.09820000000000277], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}], "hard": [{"name": "pentagon", "size": [57.788, 60.762], "center": [-3.0503999999999984, -7.105427357601002e-16], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [60.762, 57.788], "center": [20.0, -0.0004000000000008441], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [30.380000000000003, 28.894000000000002], "center": [-3.552713678800501e-16, -1.5253999999999976], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [36.4, 88.46600000000001], "center": [-0.9680000000000002, -1.2799999999999998], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.81, 21.122], "center": [-10.000000000000002, 10.000000000000004], "color": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217]}, {"name": "ellipse", "size": [32.81, 21.122], "center": [20.000000000000004, 1.8318679906315082e-16], "color": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217]}, {"name": "ellipse", "size": [21.122, 32.81], "center": [19.999999999999996, 4.440892098500626e-16], "color": [0.05660477429555666, 0.26697826944429437, 0.7855321925948217]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [57.788, 60.762], "center": [-10.0004, 10.0], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [57.788000000000004, 60.762], "center": [19.9996, -7.105427357601002e-16], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}, {"name": "pentagon", "size": [60.762, 57.788], "center": [20.0, -0.0004000000000008441], "color": [0.06203282393958298, 0.7843574009473664, 0.20400090332026732]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_14.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_14.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_14.png", "instructions": [["translate", [-10, 10]], ["translate", [30, -10]], ["rotate", 90]], "correct_answer": {"easy": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>\n- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Rotate the pentagon by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "hard": "B"}
3steps_easy_no_3
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and significantly downward. <shapeB_step_0> - Shift the hexagon to the left by a significant amount. <shapeB_step_1> - Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-10, -30]], ['translate', [-30, 0]], ['flip', 'vertical']]
easy
{"instance_id": 3, "shape_A": {"name": "rectangle", "facecolor": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.606421656630346, 21.577739720029932]}, "shape_B": {"name": "hexagon", "facecolor": [0.5534729550102496, 0.34375739414620254, 0.996631463959332], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.915409730105445, 53.620317711993536]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_3.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_3.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_3.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_3.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_3.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_3.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_3.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [0.0, -1.1842378929335002e-15], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [26.81, 30.958], "center": [0.0, 2.9605947323337506e-16], "color": [0.5740642196263323, 0.4693969449305102, 0.44046879813601025]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [53.620000000000005, 61.916], "center": [1.1842378929335002e-15, 0.0], "color": [0.18436367039008172, 0.051376717183577836, 0.9410635967681032]}], "medium": [{"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [0.0, -1.1842378929335002e-15], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [46.43556431294012, 53.620000000000005], "center": [-1.7763568394002505e-15, 0.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [30.958, 26.810000000000002], "center": [-2.9605947323337506e-16, -5.921189464667501e-16], "color": [0.6476347234024807, 0.9084114452126061, 0.8266311596500596]}], "hard": [{"name": "hexagon", "size": [26.81, 30.958], "center": [0.0, 0.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [50.936544811028895, 53.62000000000001], "center": [0.0, 1.924386576016938e-15], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [0.0, -1.1842378929335002e-15], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.606, 21.578000000000003], "center": [-10.0, -30.0], "color": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077]}, {"name": "rectangle", "size": [33.605999999999995, 21.578000000000003], "center": [-40.0, -30.0], "color": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077]}, {"name": "rectangle", "size": [33.605999999999995, 21.578000000000003], "center": [40.0, -30.0], "color": [0.4760931107841647, 0.7118424064727227, 0.44817454958657077]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [-10.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [-40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}, {"name": "hexagon", "size": [61.916, 53.620000000000005], "center": [40.0, -30.0], "color": [0.5534729550102496, 0.34375739414620254, 0.996631463959332]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_3.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_3.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_3.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_3.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_3.png", "instructions": [["translate", [-10, -30]], ["translate", [-30, 0]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly downward. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "B", "hard": "B"}
3steps_easy_no_35
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and slightly downward. <shapeB_step_0> - Shift the circle a little to the right and slightly downward. <shapeB_step_1> - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, -10]], ['translate', [10, -10]], ['rotate', 60]]
easy
{"instance_id": 35, "shape_A": {"name": "square", "facecolor": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.731355305141214, 34.731355305141214]}, "shape_B": {"name": "circle", "facecolor": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453], "edgecolor": "black", "center": [-3.552713678800501e-16, -1.6209256159527285e-15], "size": [67.16265623330358, 67.16265623330358]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_35.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_35.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_35.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_35.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_35.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_35.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_35.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.03912024451337648, 0.6447756664177201, 0.0694541146598261]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [161.938, 160.628], "center": [-5.151434834260726e-15, 6.217248937900877e-15], "color": [0.09511981777735212, 0.8025132821133648, 0.7232536695971956]}, {"name": "circle", "size": [40.182, 41.468], "center": [2.6645352591003756e-16, -2.6645352591003756e-16], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "medium": [{"name": "circle", "size": [38.66, 40.568], "center": [-1.7763568394002506e-16, -1.6875389974302379e-15], "color": [0.6594807777340282, 0.7352682788361867, 0.2058912343901773]}, {"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [55.70885862202439, 67.07], "center": [2.6645352591003756e-16, 1.5987211554602255e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "hard": [{"name": "circle", "size": [38.876, 43.382], "center": [7.50000000002693e-05, 2.5000000001096367e-05], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [77.081, 80.034], "center": [5.000000000165983e-05, -0.00042500000000211813], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.732, 34.732], "center": [10.0, -10.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}, {"name": "square", "size": [34.732, 34.732], "center": [20.0, -20.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}, {"name": "square", "size": [47.444, 47.444], "center": [20.000000000000004, -20.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.162, 67.162], "center": [10.000000000000004, -9.999999999999996], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.162, 67.162], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_35.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_35.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_35.png", "instructions": [["translate", [10, -10]], ["translate", [10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly downward. <shapeB_step_0>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_1>\n- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "D"}
3steps_easy_no_31
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0> - Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the circle to the right by a significant amount. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [30, -10]], ['rotate', 90], ['translate', [30, 0]]]
easy
{"instance_id": 31, "shape_A": {"name": "pentagon", "facecolor": [0.2588346176103514, 0.8524750785554671, 0.296363686831703], "edgecolor": "black", "center": [3.552713678800501e-16, 0.0], "size": [55.47324738063669, 58.32802407656389]}, "shape_B": {"name": "circle", "facecolor": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887], "edgecolor": "black", "center": [-5.329070518200751e-16, 5.195843755245732e-15], "size": [62.68514652193717, 62.68514652193717]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_31.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_31.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [34.366, 32.354], "center": [1.3766765505351941e-15, 8.659739592076221e-16], "color": [0.5508778036099597, 0.8168470296426481, 0.22063903752165304]}, {"name": "circle", "size": [11.16, 145.488], "center": [-1.9984014443252818e-16, -1.7763568394002505e-15], "color": [0.2687935024791853, 0.5816637995079208, 0.8077329610155621]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "medium": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [31.344, 31.343999999999998], "center": [1.1546319456101628e-15, -4.99999999985512e-05], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [35.96411561947614, 62.68600000000001], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.5423701683888696, 0.8182553599654876, 0.8527202137370091]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "hard": [{"name": "circle", "size": [86.15199999999999, 81.144], "center": [-2.1316282072803005e-15, 5.329070518200751e-16], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [76.836, 69.11600000000001], "center": [8.881784197001252e-16, -4.440892098500626e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [55.473, 58.328], "center": [30.0002, -10.0], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}, {"name": "pentagon", "size": [58.328, 55.473], "center": [30.0, -9.9998], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}, {"name": "pentagon", "size": [58.328, 55.473], "center": [60.0, -9.9998], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [30.000000000000007, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [30.0, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_31.png", "instructions": [["translate", [30, -10]], ["rotate", 90], ["translate", [30, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle to the right by a significant amount. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "D"}
3steps_easy_no_116
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> - Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the rectangle a little to the left and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5], ['rotate', 30], ['translate', [-10, 30]]]
easy
{"instance_id": 116, "shape_A": {"name": "ellipse", "facecolor": [0.14983581719146077, 0.22054649121071468, 0.522659341815168], "edgecolor": "black", "center": [1.3766765505351941e-15, -1.6375789613221059e-15], "size": [31.158770268227133, 21.83825253166706]}, "shape_B": {"name": "rectangle", "facecolor": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.361434348036404, 21.038296870536314]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_116.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.038, 34.362], "center": [0.0, 0.0], "color": [0.4738612012040019, 0.46339808429722595, 0.015595731817389602]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [34.362, 21.038], "center": [0.0, 0.0], "color": [0.561972918152885, 0.18881943726245376, 0.745505124041497]}, {"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "medium": [{"name": "rectangle", "size": [21.037999999999997, 34.361999999999995], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [35.4, 40.276], "center": [0.0, 0.0], "color": [0.9672290981708529, 0.1122459874667675, 0.9668435672686875]}, {"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "hard": [{"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [7.492684491978611, 17.700000000000003], "center": [0.0, 1.3877787807814457e-16], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [40.278, 35.4], "center": [0.0, -8.881784197001252e-16], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.58, 10.92], "center": [-8.881784197001253e-17, 3.053113317719181e-17], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}, {"name": "ellipse", "size": [14.518, 12.228], "center": [-2.6645352591003756e-16, 5.884182030513329e-16], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}, {"name": "ellipse", "size": [14.518, 12.227999999999998], "center": [-10.000000000000002, 30.000000000000007], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.138, 17.7], "center": [0.0, 5.551115123125783e-17], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_116.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_116.png", "instructions": [["scale", 0.5], ["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
3steps_easy_no_13
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_0> - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_1> - Reduce the size of the hexagon, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', -90], ['rotate', -30], ['scale', 0.5]]
easy
{"instance_id": 13, "shape_A": {"name": "ellipse", "facecolor": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035], "edgecolor": "black", "center": [1.7763568394002506e-16, -5.495603971894525e-16], "size": [33.11398888400325, 23.503631731017066]}, "shape_B": {"name": "hexagon", "facecolor": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.18825751771425, 55.58866163499802]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_13.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.188, 74.946], "center": [0.0, 5.921189464667501e-16], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [32.094, 27.794], "center": [0.0003333333333337407, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [55.588, 64.188], "center": [0.0, -1.1842378929335002e-15], "color": [0.6882039154553736, 0.4806639427736671, 0.2345052659715563]}, {"name": "hexagon", "size": [64.188, 55.588], "center": [1.1842378929335002e-15, 0.0], "color": [0.012749401268609795, 0.0890028395271304, 0.11043091740632172]}], "medium": [{"name": "hexagon", "size": [55.588, 64.188], "center": [0.0, -1.1842378929335002e-15], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [64.188, 55.588], "center": [1.1842378929335002e-15, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [32.094, 27.794], "center": [0.0003333333333337407, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [86.308, 79.232], "center": [0.0, -2.9605947323337506e-16], "color": [0.09499847033058029, 0.7582040048412383, 0.045889087093415215]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [23.504, 33.114], "center": [3.4416913763379854e-16, 0.0], "color": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035]}, {"name": "ellipse", "size": [26.198, 30.906], "center": [1.1990408665951691e-15, 2.6645352591003756e-16], "color": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035]}, {"name": "ellipse", "size": [13.1, 15.452], "center": [9.999999999990016e-05, 3.108624468950438e-16], "color": [0.10811345021104524, 0.8361200095693898, 0.04823505647294035]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [55.588, 64.188], "center": [0.0, -1.1842378929335002e-15], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [64.188, 55.588], "center": [1.1842378929335002e-15, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}, {"name": "hexagon", "size": [32.094, 27.794], "center": [0.0003333333333337407, 0.0], "color": [0.11578982633930113, 0.44431428894589664, 0.12359506299557077]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_13.png", "instructions": [["rotate", -90], ["rotate", -30], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C"}
3steps_easy_no_86
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the right and significantly downward. <shapeB_step_0> - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_1> - Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [10, -30]], ['translate', [-30, -10]], ['flip', 'horizontal']]
easy
{"instance_id": 86, "shape_A": {"name": "hexagon", "facecolor": [0.2734574129257077, 0.47951271672996854, 0.6990504778128802], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [61.25374932110418, 53.04730298912003]}, "shape_B": {"name": "square", "facecolor": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.43426702212025, 32.43426702212025]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_86.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_86.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_86.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [32.434, 32.434], "center": [-20.0, 40.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [22.154000000000003, 22.154000000000003], "center": [-4.440892098500626e-16, 4.440892098500626e-16], "color": [0.8911032857073546, 0.4882221472120539, 0.6171969752041205]}, {"name": "square", "size": [32.434, 32.434], "center": [0.0, 0.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [44.306, 44.306], "center": [0.0, 0.0], "color": [0.01614540140172349, 0.47435298460903974, 0.45233949731490153]}], "medium": [{"name": "square", "size": [32.434, 32.434], "center": [-20.0, 40.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [44.306, 44.306], "center": [0.0, 0.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [32.434, 32.434], "center": [0.0, 0.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [16.215999999999998, 16.215999999999998], "center": [-1.7763568394002505e-15, 1.7763568394002505e-15], "color": [0.4342809981233037, 0.3071698929377831, 0.8685537115410262]}], "hard": [{"name": "square", "size": [44.306, 44.306], "center": [0.0, 0.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [32.434, 32.434], "center": [0.0, 0.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [22.154, 22.154], "center": [0.0, 0.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [32.434, 32.434], "center": [-20.0, 40.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.254000000000005, 53.048], "center": [10.0, -30.0], "color": [0.2734574129257077, 0.47951271672996854, 0.6990504778128802]}, {"name": "hexagon", "size": [61.254000000000005, 53.048], "center": [-20.0, -40.0], "color": [0.2734574129257077, 0.47951271672996854, 0.6990504778128802]}, {"name": "hexagon", "size": [61.254000000000005, 53.048], "center": [-20.0, 40.0], "color": [0.2734574129257077, 0.47951271672996854, 0.6990504778128802]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.434, 32.434], "center": [10.0, -30.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [32.434, 32.434], "center": [-20.0, -40.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}, {"name": "square", "size": [32.434, 32.434], "center": [-20.0, 40.0], "color": [0.9483045873162296, 0.8975598451911272, 0.07692256952539289]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_86.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_86.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_86.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right and significantly downward. <shapeB_step_0>\n- Shift the square to the left by a significant amount and slightly downward. <shapeB_step_1>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "D"}
3steps_easy_no_111
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon a little to the right and significantly upward. <shapeB_step_0> - Reduce the size of the pentagon, making it smaller. <shapeB_step_1> - Rotate the pentagon by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, 30]], ['scale', 0.5], ['rotate', -60]]
easy
{"instance_id": 111, "shape_A": {"name": "triangle", "facecolor": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064], "edgecolor": "black", "center": [0.0, 1.0362081563168128e-15], "size": [34.880908315745884, 62.491416773673286]}, "shape_B": {"name": "pentagon", "facecolor": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [60.11513625476638, 63.20879487682315]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_111.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_111.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_111.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_111.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_111.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_111.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [30.058, 31.604], "center": [-1.5866000000000002, 0.0], "color": [0.7732589289955211, 0.03712621652831083, 0.6433149869632053]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [76.452, 79.23599999999999], "center": [-2.186999999999999, -1.0927999999999998], "color": [0.9160079617964271, 0.023756987733296486, 0.7213021149272848]}, {"name": "pentagon", "size": [60.115, 63.208], "center": [-3.173300000000001, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}], "medium": [{"name": "pentagon", "size": [41.766999999999996, 38.455], "center": [1.4164999999999992, 0.13629999999999995], "color": [0.8658920754168428, 0.8977155131043911, 0.12592334214196022]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [30.058, 31.604], "center": [-1.5866000000000002, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [60.115, 63.208], "center": [-3.173300000000001, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [34.879999999999995, 62.492], "center": [10.0, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}, {"name": "triangle", "size": [17.44, 31.246000000000002], "center": [9.999666666666666, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}, {"name": "triangle", "size": [22.715, 23.147000000000002], "center": [10.0, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [60.115, 63.208], "center": [10.0002, 30.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [30.058, 31.604], "center": [10.000399999999999, 30.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_111.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_111.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_111.png", "instructions": [["translate", [10, 30]], ["scale", 0.5], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>\n- Rotate the pentagon by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B"}
3steps_easy_no_69
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right by a significant amount. <shapeB_step_0> - Rotate the ellipse by 30 degrees clockwise around its center. <shapeB_step_1> - Shift the ellipse a little to the right and significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [30, 0]], ['rotate', -30], ['translate', [10, -30]]]
easy
{"instance_id": 69, "shape_A": {"name": "rectangle", "facecolor": [0.44819504392769327, 0.2573786573403629, 0.7019908048493694], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.08768433400843, 20.402767057933744]}, "shape_B": {"name": "ellipse", "facecolor": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921], "edgecolor": "black", "center": [-1.7763568394002506e-16, 5.551115123125783e-17], "size": [32.713684740800964, 20.708799429592535]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_69.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_69.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_69.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_69.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_69.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_69.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_69.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [30.144000000000002, 24.248], "center": [40.000000000000014, -30.0], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [32.714, 20.708], "center": [-8.881784197001252e-16, -4.662936703425658e-16], "color": [0.339642436035693, 0.19453175518484944, 0.7238513611776318]}, {"name": "ellipse", "size": [16.356, 10.354], "center": [8.881784197001253e-17, 5.551115123125783e-17], "color": [0.623502377527744, 0.027067844914698047, 0.6688231866898002]}, {"name": "ellipse", "size": [20.708, 32.714], "center": [-6.661338147750939e-16, 1.7763568394002506e-16], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}], "medium": [{"name": "ellipse", "size": [19.469892874692878, 24.248], "center": [1.1102230246251565e-16, -1.3322676295501878e-16], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [12.124, 15.072], "center": [-3.3306690738754696e-16, 1.7763568394002506e-16], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [30.144000000000002, 24.248], "center": [40.000000000000014, -30.0], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [32.714, 20.708], "center": [-8.881784197001252e-16, -4.662936703425658e-16], "color": [0.7759383822735321, 0.9597627251425146, 0.6378058821091548]}], "hard": [{"name": "ellipse", "size": [19.505225053078554, 24.248000000000005], "center": [3.552713678800501e-15, -4.022027600907308e-05], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [32.714, 20.708], "center": [-8.881784197001252e-16, -4.662936703425658e-16], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [15.072, 12.124], "center": [-3.774758283725532e-16, 3.9968028886505636e-16], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [30.144000000000002, 24.248], "center": [40.000000000000014, -30.0], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [30.087999999999997, 20.402], "center": [30.0, 0.0], "color": [0.44819504392769327, 0.2573786573403629, 0.7019908048493694]}, {"name": "rectangle", "size": [36.257999999999996, 32.712], "center": [30.0, 0.0], "color": [0.44819504392769327, 0.2573786573403629, 0.7019908048493694]}, {"name": "rectangle", "size": [36.257999999999996, 32.712], "center": [40.0, -30.000000000000004], "color": [0.44819504392769327, 0.2573786573403629, 0.7019908048493694]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [32.714, 20.708], "center": [30.000000000000007, -4.662936703425658e-16], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [30.144000000000002, 24.248], "center": [29.999999999999993, 8.881784197001252e-16], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}, {"name": "ellipse", "size": [30.144000000000002, 24.248], "center": [40.000000000000014, -30.0], "color": [0.15995832493624562, 0.8776481494138587, 0.7410809048751921]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_69.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_69.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_69.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_69.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_69.png", "instructions": [["translate", [30, 0]], ["rotate", -30], ["translate", [10, -30]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees clockwise around its center. <shapeB_step_1>\n- Shift the ellipse a little to the right and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "D"}
3steps_easy_no_75
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -30]], ['scale', 0.5], ['flip', 'vertical']]
easy
{"instance_id": 75, "shape_A": {"name": "pentagon", "facecolor": [0.45674633042636925, 0.8316691933719237, 0.673254121332858], "edgecolor": "black", "center": [7.105427357601002e-16, 1.4210854715202005e-15], "size": [59.18494571404371, 62.230734661909494]}, "shape_B": {"name": "circle", "facecolor": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003], "edgecolor": "black", "center": [-5.329070518200751e-16, -8.215650382226159e-16], "size": [69.45070957938837, 69.45070957938837]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_75.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [46.076, 52.302], "center": [-6.217248937900876e-16, 1.9539925233402757e-15], "color": [0.8478644241745077, 0.012038291010361801, 0.36301883461664086]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.32394193681060623, 0.239173511249826, 0.4128729433649466]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "medium": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.9206505130065439, 0.6526182608492092, 0.5133389267827447]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [72.15, 81.068], "center": [-2.7533531010703883e-15, -2.3092638912203257e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "hard": [{"name": "circle", "size": [39.544, 148.913], "center": [-2.4999999998343015e-05, -0.0005249999999913157], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.185, 62.230000000000004], "center": [-29.999800000000004, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}, {"name": "pentagon", "size": [29.593000000000004, 31.116], "center": [-29.9998, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}, {"name": "pentagon", "size": [29.593000000000004, 31.116], "center": [29.9998, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-29.999999999999993, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, -30]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "B"}
3steps_easy_no_54
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left and significantly downward. <shapeB_step_0> - Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-10, -30]], ['flip', 'horizontal'], ['flip', 'horizontal']]
easy
{"instance_id": 54, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [-5.921189464667501e-16, -5.921189464667501e-16], "size": [65.08835027371116, 56.36816482745368]}, "shape_B": {"name": "triangle", "facecolor": [0.468926302758369, 0.9565237556255114, 0.577043455530469], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [53.811846882714654, 38.073984419741535]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_54.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [48.921, 48.075], "center": [-7.2364999999999995, -4.5005], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.92612450487395, 0.056903037694271075, 0.40592470627323407]}, {"name": "triangle", "size": [24.686000000000003, 18.127], "center": [-2.9609999999999985, -2.5845000000000002], "color": [0.43216771002148047, 0.41422289962451253, 0.9783586191430353]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}], "medium": [{"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [26.938777150078046, 38.074], "center": [-1.6280434475581653, -1.8749739834981034], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [29.787, 13.968000000000004], "center": [-0.9445000000000009, 1.5879999999999999], "color": [0.33014173880198083, 0.038942247601714164, 0.5828635028179421]}], "hard": [{"name": "triangle", "size": [53.812, 38.074], "center": [2.6499999999999995, -2.3009999999999997], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [27.958207859023695, 38.07399999999999], "center": [3.9859321247721327, -4.567029127000203], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.81199999999999, 25.234875982004965], "center": [-1.7066542223415917, 2.868913449271469], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, -30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}, {"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, 30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}, {"name": "hexagon", "size": [65.088, 56.367999999999995], "center": [-9.999999999999998, -30.0], "color": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, 30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}, {"name": "triangle", "size": [53.812, 38.074], "center": [-9.999999999999998, -30.0], "color": [0.468926302758369, 0.9565237556255114, 0.577043455530469]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_54.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}
3steps_easy_no_4
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0> - Reduce the size of the square, making it smaller. <shapeB_step_1> - Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -10]], ['scale', 0.5], ['flip', 'vertical']]
easy
{"instance_id": 4, "shape_A": {"name": "triangle", "facecolor": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [27.957525882536824, 60.12591420500344]}, "shape_B": {"name": "square", "facecolor": [0.623259400521998, 0.39748332388577345, 0.08031532057944901], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.51945414664519, 33.51945414664519]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_4.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_4.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_4.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_4.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_4.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_4.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [45.788, 45.788], "center": [-8.881784197001252e-16, -8.881784197001252e-16], "color": [0.4568358126677865, 0.3021216705383136, 0.9993735655001792]}, {"name": "square", "size": [33.519999999999996, 33.519999999999996], "center": [0.0, -1.7763568394002505e-15], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [-1.7763568394002505e-15, 0.0], "color": [0.2991542491237722, 0.962029072823442, 0.6903135124601291]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [30.0, -9.999999999999998], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}], "medium": [{"name": "square", "size": [16.76, 16.759999999999998], "center": [30.0, -9.999999999999998], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [45.788, 45.788], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.8328388996731884, 0.9029349184497755, 0.7757409796033808]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [-1.7763568394002505e-15, 0.0], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [33.519999999999996, 33.519999999999996], "center": [0.0, -1.7763568394002505e-15], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [27.957, 60.126000000000005], "center": [-30.0, -10.0], "color": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233]}, {"name": "triangle", "size": [13.977999999999998, 30.064], "center": [-30.0, -10.0], "color": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233]}, {"name": "triangle", "size": [13.977999999999998, 30.064], "center": [30.0, -10.0], "color": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233]}], "tranformed_B_sequence_info": [{"name": "square", "size": [33.519999999999996, 33.52], "center": [-30.0, -10.000000000000002], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [-30.0, -9.999999999999998], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [30.0, -9.999999999999998], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_4.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_4.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_4.png", "instructions": [["translate", [-30, -10]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A"}
3steps_easy_no_106
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it smaller. <shapeB_step_0> - Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1> - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['rotate', -30], ['rotate', -90]]
easy
{"instance_id": 106, "shape_A": {"name": "rectangle", "facecolor": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.429619278662187, 23.519356892684694]}, "shape_B": {"name": "triangle", "facecolor": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [54.674641152139, 47.17399099888111]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_106.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_106.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_106.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_106.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_106.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_106.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_106.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.838, 34.06], "center": [-7.145333333333333, 3.7330000000000005], "color": [0.7256439050117809, 0.02732138501468384, 0.21479456020780974]}, {"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.9931273083192043, 0.44973360199872137, 0.25827122940299563]}, {"name": "triangle", "size": [47.174, 54.675], "center": [-0.9969999999999999, -2.2105], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "medium": [{"name": "triangle", "size": [28.189, 60.638999999999996], "center": [-3.2585, 7.5615], "color": [0.99645079325002, 0.6025607020113347, 0.6440071041307395]}, {"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [7.916946189745872, 17.03], "center": [0.9149844159699209, -2.1236831357157384], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "hard": [{"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [10.028731975517825, 17.03], "center": [1.0991560911511462, 2.10389409500098], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [33.81999999999999, 50.825], "center": [-3.9420000000000015, 0.5744999999999996], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.214, 11.76], "center": [0.0, 0.0], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}, {"name": "rectangle", "size": [19.056, 17.792], "center": [-1.1102230246251565e-16, 0.0], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}, {"name": "rectangle", "size": [17.792, 19.056], "center": [0.0, 1.1102230246251565e-16], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [27.337, 23.587], "center": [0.00033333333333285253, 0.0], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [17.03, 28.919], "center": [-0.0003333333333332966, 0.0], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_106.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_106.png", "instructions": [["scale", 0.5], ["rotate", -30], ["rotate", -90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "B"}
3steps_easy_no_29
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Reduce the size of the square, making it smaller. <shapeB_step_0> - Shift the square a little to the right and slightly upward. <shapeB_step_1> - Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['scale', 0.5], ['translate', [10, 10]], ['rotate', 60]]
easy
{"instance_id": 29, "shape_A": {"name": "ellipse", "facecolor": [0.4220150118646, 0.5498486105722737, 0.26067444221513203], "edgecolor": "black", "center": [8.881784197001253e-17, -2.2204460492503132e-17], "size": [33.22785612913323, 23.57222483948403]}, "shape_B": {"name": "square", "facecolor": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.018814484423327, 31.018814484423327]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.27325300236291905, 0.8688553705669743, 0.22576546872889092]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.6401774889899354, 0.3628194846901699, 0.3335173486029427]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "medium": [{"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.657562934803727, 0.14267014249265686, 0.5675607750968812]}, {"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "hard": [{"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.614, 11.786], "center": [0.0, -1.3877787807814457e-17], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}, {"name": "ellipse", "size": [16.613999999999997, 11.786000000000001], "center": [10.0, 10.000000000000002], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}, {"name": "ellipse", "size": [13.142000000000001, 15.503999999999998], "center": [10.0, 10.000024999999997], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}], "tranformed_B_sequence_info": [{"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [15.509999999999998, 15.509999999999998], "center": [9.999999999999998, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_29.png", "instructions": [["scale", 0.5], ["translate", [10, 10]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Shift the square a little to the right and slightly upward. <shapeB_step_1>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "C"}
3steps_easy_no_64
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the left by a significant amount. <shapeB_step_0> - Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-30, 0]], ['rotate', 60], ['translate', [-30, 30]]]
easy
{"instance_id": 64, "shape_A": {"name": "square", "facecolor": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.726659582155456, 33.726659582155456]}, "shape_B": {"name": "ellipse", "facecolor": [0.2560335809291743, 0.7639408847787152, 0.823856385364805], "edgecolor": "black", "center": [-4.440892098500626e-16, 4.940492459581947e-16], "size": [33.5887390001288, 21.256854641847156]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_64.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_64.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_64.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_64.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_64.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.587999999999994, 21.256], "center": [-3.552713678800501e-16, -4.829470157119431e-16], "color": [0.1594557628481833, 0.5645710467008669, 0.729186533575147]}, {"name": "ellipse", "size": [24.892, 30.948], "center": [3.552713678800501e-16, -3.552713678800501e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.891999999999996, 30.947999999999997], "center": [-60.0, 30.000000000000007], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [12.446, 15.473999999999998], "center": [-4.4408920985006264e-17, 2.2204460492503132e-17], "color": [0.33556354308455594, 0.08006162467764366, 0.9609209328671239]}], "medium": [{"name": "ellipse", "size": [33.587999999999994, 21.256], "center": [-3.552713678800501e-16, -4.829470157119431e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.892, 30.948], "center": [3.552713678800501e-16, -3.552713678800501e-16], "color": [0.16819008912031275, 0.023793007479033568, 0.7170867593659647]}, {"name": "ellipse", "size": [17.073999999999998, 13.400000000000002], "center": [1.3322676295501878e-16, 2.6645352591003756e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.891999999999996, 30.947999999999997], "center": [-60.0, 30.000000000000007], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}], "hard": [{"name": "ellipse", "size": [24.892, 30.948], "center": [3.552713678800501e-16, -3.552713678800501e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.891999999999996, 30.947999999999997], "center": [-60.0, 30.000000000000007], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [15.474, 12.445999999999998], "center": [-5.773159728050814e-16, 7.105427357601002e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [33.587999999999994, 21.256], "center": [-3.552713678800501e-16, -4.829470157119431e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [33.726, 33.726], "center": [-30.0, 0.0], "color": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946]}, {"name": "square", "size": [46.06999999999999, 46.07], "center": [-30.0, 2.220446049250313e-16], "color": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946]}, {"name": "square", "size": [46.06999999999999, 46.06999999999999], "center": [-60.0, 30.0], "color": [0.6639878348318775, 0.4032816903425681, 0.6846023662624946]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.587999999999994, 21.256], "center": [-29.999999999999993, -4.829470157119431e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.892, 30.948], "center": [-30.00000000000001, -3.552713678800501e-16], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}, {"name": "ellipse", "size": [24.891999999999996, 30.947999999999997], "center": [-60.0, 30.000000000000007], "color": [0.2560335809291743, 0.7639408847787152, 0.823856385364805]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_64.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_64.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_64.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_64.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_64.png", "instructions": [["translate", [-30, 0]], ["rotate", 60], ["translate", [-30, 30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the left by a significant amount. <shapeB_step_0>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "B"}
3steps_easy_no_77
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0> - Shift the circle a little to the left and slightly downward. <shapeB_step_1> - Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', -30], ['translate', [-10, -10]], ['flip', 'vertical']]
easy
{"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.4014485780221052, 0.310955357635772, 0.7439741786648469], "edgecolor": "black", "center": [-7.993605777301127e-16, -8.326672684688674e-17], "size": [33.49433679884838, 20.525172859231922]}, "shape_B": {"name": "circle", "facecolor": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685], "edgecolor": "black", "center": [3.0198066269804257e-15, -1.84297022087776e-15], "size": [68.7229505557743, 68.7229505557743]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_77.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.361000000000004], "center": [-0.0002750000000009578, 0.0004249999999998089], "color": [0.3547785407583631, 0.7152890012922809, 0.9777692910377371]}, {"name": "circle", "size": [80.316, 77.958], "center": [1.4210854715202005e-15, -5.773159728050814e-16], "color": [0.8841060916134182, 0.15558808118521872, 0.9876948218040671]}], "medium": [{"name": "circle", "size": [121.88, 137.198], "center": [4.7961634663806766e-15, 1.7763568394002506e-16], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.789342015931861, 0.3844517737810672, 0.6688896698014315]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.36], "center": [-0.00047499999999986995, 1.4432899320127036e-16], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}], "hard": [{"name": "circle", "size": [103.713, 122.969], "center": [-0.00049999999999919, 0.0005250000000003752], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.361], "center": [-0.00042500000000131875, -0.00037499999999814906], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [30.758, 24.412], "center": [-1.7763568394002506e-16, -1.3322676295501878e-16], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}, {"name": "ellipse", "size": [30.758000000000003, 24.412], "center": [-9.999999999999998, -10.0], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}, {"name": "ellipse", "size": [30.758000000000003, 24.412], "center": [9.999999999999998, -10.0], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_77.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_77.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_77.png", "instructions": [["rotate", -30], ["translate", [-10, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "C"}
3steps_easy_no_102
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Reduce the size of the square, making it smaller. <shapeB_step_0> - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the square significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5], ['rotate', 30], ['translate', [0, 30]]]
easy
{"instance_id": 102, "shape_A": {"name": "rectangle", "facecolor": [0.21567512763129615, 0.589386626549615, 0.22978524306588743], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.953645942398293, 22.18823013967595]}, "shape_B": {"name": "square", "facecolor": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.27182908097337, 33.27182908097337]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_102.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [45.45, 45.45], "center": [4.440892098500626e-16, 0.0], "color": [0.25592506801127335, 0.3621099989865959, 0.9630855419562623]}, {"name": "square", "size": [33.272, 33.272000000000006], "center": [0.0, -1.7763568394002505e-15], "color": [0.9045142691073759, 0.5294072836798522, 0.006461391776677039]}], "medium": [{"name": "square", "size": [45.45, 45.45], "center": [0.0, 4.440892098500626e-16], "color": [0.9644580663346177, 0.9225036442939006, 0.9514205201854297]}, {"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [33.272, 33.272], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.476, 11.094], "center": [0.0, 0.0], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}, {"name": "rectangle", "size": [18.95, 17.346], "center": [0.0, -1.1102230246251565e-16], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}, {"name": "rectangle", "size": [18.95, 17.346], "center": [0.0, 30.0], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}], "tranformed_B_sequence_info": [{"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_102.png", "instructions": [["scale", 0.5], ["rotate", 30], ["translate", [0, 30]]], "correct_answer": {"easy": "A", "medium": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the square significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D"}
3steps_easy_no_71
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it smaller. <shapeB_step_0> - Shift the triangle significantly upward. <shapeB_step_1> - Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5], ['translate', [0, 30]], ['flip', 'horizontal']]
easy
{"instance_id": 71, "shape_A": {"name": "rectangle", "facecolor": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.291631774911167, 22.270540084960174]}, "shape_B": {"name": "triangle", "facecolor": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637], "edgecolor": "black", "center": [0.0, 0.0], "size": [50.38733694237867, 51.27639695705702]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [25.193, 25.638], "center": [0.0, -30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.372999999999998, 60.518], "center": [3.472833333333334, -8.856], "color": [0.6008753775090205, 0.18221982141676552, 0.9363390880631995]}, {"name": "triangle", "size": [25.193, 25.637999999999998], "center": [-1.1715, -1.8150000000000002], "color": [0.5129798537078072, 0.5060275981943897, 0.8896244404843641]}, {"name": "triangle", "size": [61.900999999999996, 28.294999999999998], "center": [-7.5315, 2.569166666666666], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}], "medium": [{"name": "triangle", "size": [60.518, 25.374000000000002], "center": [8.855666666666666, 3.4730000000000003], "color": [0.9335153636528944, 0.5924898669799579, 0.39749049088992416]}, {"name": "triangle", "size": [25.193, 25.638], "center": [0.0, -30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.193, 25.637999999999998], "center": [-1.1715, -1.8150000000000002], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [50.387, 51.277], "center": [-2.3431666666666664, -3.6295], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}], "hard": [{"name": "triangle", "size": [25.193, 25.637999999999998], "center": [-1.1715, -1.8150000000000002], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.193, 25.638], "center": [0.0, -30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [50.387, 51.277], "center": [-2.3431666666666664, -3.6295], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.372999999999998, 60.519], "center": [3.4728333333333326, -8.856166666666667], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.646, 11.136], "center": [0.0, 0.0], "color": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624]}, {"name": "rectangle", "size": [15.646, 11.136], "center": [0.0, 29.999999999999996], "color": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624]}, {"name": "rectangle", "size": [15.646, 11.136], "center": [0.0, -29.999999999999996], "color": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [25.193, 25.637999999999998], "center": [0.0, 5.921189464667501e-16], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.193, 25.638], "center": [0.0, 30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.193, 25.638], "center": [0.0, -30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_71.png", "instructions": [["scale", 0.5], ["translate", [0, 30]], ["flip", "horizontal"]], "correct_answer": {"easy": "A", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Shift the triangle significantly upward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B", "hard": "B"}
3steps_easy_no_83
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the rectangle to the left by a significant amount and significantly upward. <shapeB_step_1> - Reduce the size of the rectangle, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', 60], ['translate', [-30, 30]], ['scale', 0.5]]
easy
{"instance_id": 83, "shape_A": {"name": "square", "facecolor": [0.6423890374620377, 0.5636619492293043, 0.163942404281597], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.61080007404361, 31.61080007404361]}, "shape_B": {"name": "rectangle", "facecolor": [0.603469992875164, 0.4324866495197185, 0.24189550591270526], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.8154328302989, 24.077385753198826]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_83.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_83.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_83.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_83.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [37.76, 41.324], "center": [0.0, 0.0], "color": [0.6887398436037846, 0.0001329933498699365, 0.4232798339191626]}, {"name": "rectangle", "size": [18.88, 20.662000000000003], "center": [-30.0, 29.999750000000002], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [33.816, 24.078000000000003], "center": [0.0, 0.0], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [18.88, 20.662000000000003], "center": [8.881784197001252e-16, -0.00024999999999941735], "color": [0.18889887055719778, 0.7611453816173691, 0.1751871818025834]}], "medium": [{"name": "rectangle", "size": [33.816, 24.078000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.20173950903947746, 0.9593983011032434, 0.12431710235368054]}, {"name": "rectangle", "size": [18.879999999999995, 13.443122782114973], "center": [0.0, -1.7763568394002505e-15], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [18.88, 20.662000000000003], "center": [-30.0, 29.999750000000002], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [37.76, 41.324], "center": [0.0, 0.0], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}], "hard": [{"name": "rectangle", "size": [37.76, 41.324], "center": [0.0, 0.0], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [14.711959900638757, 20.662000000000003], "center": [1.7763568394002505e-15, 0.0], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [18.88, 20.662000000000003], "center": [-30.0, 29.999750000000002], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [33.816, 24.078000000000003], "center": [0.0, 0.0], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [43.182, 43.182], "center": [0.0, 0.0], "color": [0.6423890374620377, 0.5636619492293043, 0.163942404281597]}, {"name": "square", "size": [43.182, 43.182], "center": [-30.0, 30.0], "color": [0.6423890374620377, 0.5636619492293043, 0.163942404281597]}, {"name": "square", "size": [21.592, 21.592], "center": [-30.0, 30.0], "color": [0.6423890374620377, 0.5636619492293043, 0.163942404281597]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [37.76, 41.324], "center": [0.0, 0.0], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [37.760000000000005, 41.324], "center": [-30.0, 29.999999999999996], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}, {"name": "rectangle", "size": [18.88, 20.662000000000003], "center": [-30.0, 29.999750000000002], "color": [0.603469992875164, 0.4324866495197185, 0.24189550591270526]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_83.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_83.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_83.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_83.png", "instructions": [["rotate", 60], ["translate", [-30, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle to the left by a significant amount and significantly upward. <shapeB_step_1>\n- Reduce the size of the rectangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "C"}
3steps_easy_no_89
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> - Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['translate', [30, 10]], ['rotate', -30]]
easy
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.68810527851148, 34.68810527851148]}, "shape_B": {"name": "rectangle", "facecolor": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.79145902423523, 20.92473276522844]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_89.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.924000000000003, 31.792], "center": [1.7763568394002505e-15, 0.0], "color": [0.7155420908178509, 0.6770152992067706, 0.700013872178118]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [31.792, 20.924000000000003], "center": [0.0, -1.7763568394002505e-15], "color": [0.3767828654216594, 0.18420586617057277, 0.340512032632328]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "medium": [{"name": "rectangle", "size": [31.792, 20.924000000000003], "center": [0.0, 1.7763568394002505e-15], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.9740349389534685, 0.42790819681582193, 0.42072017275913365]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [20.924, 31.792], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "hard": [{"name": "rectangle", "size": [38.886, 36.016], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [31.792, 20.924], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [17.344, 17.344], "center": [0.0, 0.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}, {"name": "square", "size": [17.343999999999998, 17.344], "center": [30.0, 10.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}, {"name": "square", "size": [23.691999999999997, 23.692], "center": [30.0, 10.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_89.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_89.png", "instructions": [["scale", 0.5], ["translate", [30, 10]], ["rotate", -30]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "D"}
3steps_easy_no_107
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square slightly upward. <shapeB_step_0> - Shift the square a little to the right and significantly downward. <shapeB_step_1> - Reduce the size of the square, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [0, 10]], ['translate', [10, -30]], ['scale', 0.5]]
easy
{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.8945462388180654, 0.48160505233266193, 0.6089580460676322], "edgecolor": "black", "center": [-3.9968028886505636e-16, 5.551115123125783e-17], "size": [31.942905863234678, 21.695005894619882]}, "shape_B": {"name": "square", "facecolor": [0.8120701118411144, 0.5534081194790826, 0.663781427536076], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.59715002262993, 31.59715002262993]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_107.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_107.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_107.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.598, 31.598], "center": [0.0, 0.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799999999999997, 15.799999999999997], "center": [0.0, 0.0], "color": [0.9855646073454597, 0.3975327607524739, 0.7473631470143139]}, {"name": "square", "size": [43.162000000000006, 43.162000000000006], "center": [0.0, 0.0], "color": [0.6956102091068623, 0.9821887768734714, 0.724298600412953]}, {"name": "square", "size": [15.799, 15.799000000000001], "center": [10.000499999999999, -19.999499999999998], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}], "medium": [{"name": "square", "size": [31.598, 31.598], "center": [0.0, 0.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [43.162000000000006, 43.162000000000006], "center": [0.0, -8.881784197001252e-16], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799, 15.799000000000001], "center": [10.000499999999999, -19.999499999999998], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799000000000003, 15.799], "center": [-1.7763568394002505e-15, 0.0], "color": [0.04687878245551835, 0.739866938859531, 0.5119937892253075]}], "hard": [{"name": "square", "size": [43.162, 43.162000000000006], "center": [0.0, 8.881784197001252e-16], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [31.598, 31.598], "center": [0.0, 0.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799000000000003, 15.799], "center": [1.7763568394002505e-15, 0.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799, 15.799000000000001], "center": [10.000499999999999, -19.999499999999998], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.942, 21.695999999999998], "center": [-8.881784197001253e-17, 9.999999999999998], "color": [0.8945462388180654, 0.48160505233266193, 0.6089580460676322]}, {"name": "ellipse", "size": [31.942, 21.695999999999998], "center": [9.999999999999996, -19.999999999999993], "color": [0.8945462388180654, 0.48160505233266193, 0.6089580460676322]}, {"name": "ellipse", "size": [15.972000000000001, 10.847999999999999], "center": [9.999750000000002, -19.99985], "color": [0.8945462388180654, 0.48160505233266193, 0.6089580460676322]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.598, 31.598], "center": [0.0, 10.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [31.598, 31.598], "center": [10.0, -19.999999999999996], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799, 15.799000000000001], "center": [10.000499999999999, -19.999499999999998], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_107.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_107.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_107.png", "instructions": [["translate", [0, 10]], ["translate", [10, -30]], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly upward. <shapeB_step_0>\n- Shift the square a little to the right and significantly downward. <shapeB_step_1>\n- Reduce the size of the square, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "D"}
3steps_easy_no_113
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and slightly downward. <shapeB_step_0> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Shift the circle significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [10, -10]], ['scale', 0.5], ['translate', [0, -30]]]
easy
{"instance_id": 113, "shape_A": {"name": "triangle", "facecolor": [0.2965067069727847, 0.8262343642411036, 0.8226359603885287], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [44.323232001973295, 58.61783122861769]}, "shape_B": {"name": "circle", "facecolor": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003], "edgecolor": "black", "center": [-1.6875389974302379e-15, -1.9761969838327787e-15], "size": [62.81915765035751, 62.81915765035751]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_113.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [10.00005, -40.00005], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [5.000000000157101e-05, 4.999999999975024e-05], "color": [0.9911246053272538, 0.9837211162822602, 0.4159488528573585]}, {"name": "circle", "size": [62.81999999999999, 62.81999999999999], "center": [2.842170943040401e-15, -1.865174681370263e-15], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [110.314, 97.088], "center": [-1.0658141036401502e-15, 0.0], "color": [0.9262043758862866, 0.13619258792730926, 0.9356200738343942]}], "medium": [{"name": "circle", "size": [10.051368765111489, 31.409999999999997], "center": [-2.0781987242202148e-16, -1.9539925233402757e-15], "color": [0.1880530183134781, 0.06262702345699622, 0.8064839698757219]}, {"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [10.00005, -40.00005], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [5.000000000157101e-05, 4.999999999975024e-05], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [62.81999999999999, 62.81999999999999], "center": [2.842170943040401e-15, -1.865174681370263e-15], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}], "hard": [{"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [10.00005, -40.00005], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [5.000000000157101e-05, 4.999999999975024e-05], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [100.624, 103.022], "center": [1.9539925233402757e-15, 1.1990408665951691e-15], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [62.81999999999999, 62.81999999999999], "center": [2.842170943040401e-15, -1.865174681370263e-15], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [44.323, 58.617999999999995], "center": [9.999666666666666, -9.999999999999998], "color": [0.2965067069727847, 0.8262343642411036, 0.8226359603885287]}, {"name": "triangle", "size": [22.162000000000003, 29.309], "center": [9.999666666666668, -9.999666666666666], "color": [0.2965067069727847, 0.8262343642411036, 0.8226359603885287]}, {"name": "triangle", "size": [22.162000000000003, 29.309], "center": [9.999666666666668, -39.99966666666666], "color": [0.2965067069727847, 0.8262343642411036, 0.8226359603885287]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [62.81999999999999, 62.81999999999999], "center": [10.000000000000002, -9.999999999999998], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [10.00005, -9.999950000000002], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}, {"name": "circle", "size": [31.409999999999997, 31.409999999999997], "center": [10.00005, -40.00005], "color": [0.1477967102575377, 0.8584260673716001, 0.26469722505557003]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_113.png", "instructions": [["translate", [10, -10]], ["scale", 0.5], ["translate", [0, -30]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly downward. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B", "hard": "A"}
3steps_easy_no_57
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0> - Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_1> - Reduce the size of the square, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -10]], ['flip', 'vertical'], ['scale', 0.5]]
easy
{"instance_id": 57, "shape_A": {"name": "triangle", "facecolor": [0.9987410233690914, 0.7723664762407402, 0.7786138030606878], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [33.87814931687345, 52.893983718731015]}, "shape_B": {"name": "square", "facecolor": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.45102492555206, 34.45102492555206]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_57.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_57.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_57.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [17.226, 17.226], "center": [0.0, 0.0], "color": [0.866273454379044, 0.042319194872595944, 0.4032791837204919]}, {"name": "square", "size": [47.06, 47.06], "center": [0.0, 0.0], "color": [0.3546760823290177, 0.7502929670636724, 0.7576580069259694]}, {"name": "square", "size": [34.452, 34.452], "center": [0.0, 0.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}, {"name": "square", "size": [17.226, 17.226], "center": [30.0, -10.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}], "medium": [{"name": "square", "size": [47.062, 47.062], "center": [0.0, 0.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}, {"name": "square", "size": [17.226, 17.226], "center": [30.0, -10.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}, {"name": "square", "size": [34.452, 34.452], "center": [0.0, 0.0], "color": [0.8067049916194087, 0.8059479899866555, 0.09005762707125309]}, {"name": "square", "size": [23.53, 23.53], "center": [2.220446049250313e-16, 0.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}], "hard": [{"name": "square", "size": [17.226, 17.226], "center": [30.0, -10.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}, {"name": "square", "size": [23.53, 23.53], "center": [-2.220446049250313e-16, 0.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}, {"name": "square", "size": [47.062, 47.062], "center": [0.0, 0.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}, {"name": "square", "size": [34.452, 34.452], "center": [0.0, 0.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [33.878, 52.894000000000005], "center": [-30.0, -9.999666666666668], "color": [0.9987410233690914, 0.7723664762407402, 0.7786138030606878]}, {"name": "triangle", "size": [33.878, 52.894000000000005], "center": [30.0, -9.999666666666668], "color": [0.9987410233690914, 0.7723664762407402, 0.7786138030606878]}, {"name": "triangle", "size": [16.938000000000002, 26.447000000000003], "center": [30.0, -9.999666666666668], "color": [0.9987410233690914, 0.7723664762407402, 0.7786138030606878]}], "tranformed_B_sequence_info": [{"name": "square", "size": [34.452, 34.452], "center": [-30.0, -10.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}, {"name": "square", "size": [34.452, 34.452], "center": [30.0, -10.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}, {"name": "square", "size": [17.226, 17.226], "center": [30.0, -10.0], "color": [0.40673190510210777, 0.24038985677200153, 0.6021025170089722]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_57.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_57.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_57.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_57.png", "instructions": [["translate", [-30, -10]], ["flip", "vertical"], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Reduce the size of the square, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "B", "hard": "A"}
3steps_easy_no_115
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0> - Shift the circle to the left by a significant amount. <shapeB_step_1> - Shift the circle a little to the right and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['rotate', -60], ['translate', [-30, 0]], ['translate', [10, -10]]]
easy
{"instance_id": 115, "shape_A": {"name": "ellipse", "facecolor": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422], "edgecolor": "black", "center": [2.220446049250313e-16, 2.0539125955565397e-16], "size": [31.18333413840225, 20.769316379909124]}, "shape_B": {"name": "circle", "facecolor": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [68.17299444067872, 68.17299444067872]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [34.948, 34.604], "center": [-7.500000000089102e-05, 7.771561172376096e-16], "color": [0.2903541313066077, 0.12842214938979246, 0.7680032783485744]}, {"name": "circle", "size": [32.956, 130.026], "center": [-2.6645352591003756e-16, 7.105427357601002e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.15073730815887376, 0.7732720983432548, 0.6192458203905253]}, {"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "medium": [{"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [157.084, 140.354], "center": [1.2434497875801752e-15, -3.552713678800501e-16], "color": [0.7421894645779374, 0.31827558221604635, 0.818792201644946]}, {"name": "circle", "size": [37.882, 35.45], "center": [-3.552713678800501e-16, -1.554312234475219e-16], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "hard": [{"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [52.19922737676548, 68.08], "center": [0.0, 1.8207657603852566e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [40.478790678459426, 68.08], "center": [7.993605777301127e-16, -4.440892098500626e-16], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [23.744, 28.892], "center": [-2.2204460492503132e-17, 0.0], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}, {"name": "ellipse", "size": [23.744, 28.892], "center": [-30.0, 0.0], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}, {"name": "ellipse", "size": [23.744, 28.892000000000003], "center": [-20.000000000000004, -9.999999999999998], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08000000000001, 68.08], "center": [-30.0, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_115.png", "instructions": [["rotate", -60], ["translate", [-30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the left by a significant amount. <shapeB_step_1>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "A"}
3steps_easy_no_0
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left and significantly downward. <shapeB_step_0> - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the circle a little to the right. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, -30]], ['rotate', 30], ['translate', [10, 0]]]
easy
{"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [3.552713678800501e-16, 7.105427357601002e-16], "size": [59.73126308469467, 62.805166739594156]}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [3.552713678800501e-16, 4.662936703425658e-16], "size": [66.98139394988227, 66.98139394988227]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.7759999115462448, 0.22904807196410437, 0.03210024390403776]}, {"name": "circle", "size": [66.888, 66.888], "center": [-2.5000000000297008e-05, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [59.748000000000005, 54.769999999999996], "center": [3.552713678800501e-16, -3.3306690738754696e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [90.261, 84.926], "center": [-0.0002000000000005997, 2.042810365310288e-15], "color": [0.3154530480590819, 0.26774087597570273, 0.21098284358632646]}], "medium": [{"name": "circle", "size": [90.32, 87.452], "center": [-6.217248937900876e-16, -8.881784197001253e-17], "color": [0.5076816746043252, 0.10641082279770497, 0.6253001935664175]}, {"name": "circle", "size": [33.489999999999995, 33.489999999999995], "center": [-8.881784197001253e-17, 6.217248937900876e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.888, 66.888], "center": [-2.5000000000297008e-05, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "hard": [{"name": "circle", "size": [66.888, 66.888], "center": [-2.5000000000297008e-05, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [52.518088456189155, 66.888], "center": [3.552713678800501e-16, -1.3322676295501878e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [82.508, 88.014], "center": [-8.881784197001253e-17, -3.552713678800501e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.732, 62.806], "center": [-10.000200000000001, -30.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [61.433, 62.461], "center": [-10.000000000000004, -30.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [61.433, 62.461], "center": [-7.105427357601002e-16, -30.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [66.982, 66.982], "center": [-10.000000000000002, -29.999999999999993], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.888, 66.888], "center": [-10.000024999999996, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.888, 66.888], "center": [-2.5000000000297008e-05, -30.000025000000004], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_0.png", "instructions": [["translate", [-10, -30]], ["rotate", 30], ["translate", [10, 0]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left and significantly downward. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle a little to the right. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "A"}
3steps_easy_no_20
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0> - Shift the triangle slightly upward. <shapeB_step_1> - Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, 30]], ['translate', [0, 10]], ['flip', 'vertical']]
easy
{"instance_id": 20, "shape_A": {"name": "hexagon", "facecolor": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.929161743287075, 52.76620190097756]}, "shape_B": {"name": "triangle", "facecolor": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406], "edgecolor": "black", "center": [0.0, 2.3684757858670005e-15], "size": [49.66386023324553, 59.424434075239596]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_20.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_20.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [24.831999999999997, 29.713], "center": [-2.7229999999999976, 2.9034999999999993], "color": [0.47865208582015095, 0.8457662624925489, 0.28225736892179776]}, {"name": "triangle", "size": [33.289, 23.608], "center": [-0.6298333333333339, 1.2699999999999998], "color": [0.3486154422494786, 0.5746782580568939, 0.507949665955694]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}], "medium": [{"name": "triangle", "size": [26.305, 28.778], "center": [-2.3495, 1.2380000000000007], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [65.65, 41.8], "center": [-7.628, 0.4850000000000004], "color": [0.8872615365741244, 0.9032560047133901, 0.6361328200238896]}], "hard": [{"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 35.22215011190051], "center": [0.9397894568194213, -1.8951198161527252], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [41.801, 65.651], "center": [-0.48550000000000004, -7.6285], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [60.93000000000001, 52.766000000000005], "center": [-30.0, 30.0], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}, {"name": "hexagon", "size": [60.93000000000001, 52.76599999999999], "center": [-30.0, 39.99999999999999], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}, {"name": "hexagon", "size": [60.93000000000001, 52.76599999999999], "center": [30.0, 39.99999999999999], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [49.664, 59.424], "center": [-30.0, 30.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [-30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_20.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_20.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_20.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "A"}
3steps_easy_no_104
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right. <shapeB_step_0> - Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, 0]], ['flip', 'horizontal'], ['translate', [30, 10]]]
easy
{"instance_id": 104, "shape_A": {"name": "ellipse", "facecolor": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027], "edgecolor": "black", "center": [-3.552713678800501e-16, -1.4099832412739487e-15], "size": [34.59203167298348, 23.985925995661848]}, "shape_B": {"name": "hexagon", "facecolor": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [62.174276484466446, 53.84450289746539]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_104.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_104.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_104.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_104.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_104.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_104.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_104.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [-8.881784197001252e-16, 0.0], "color": [0.32444724448470597, 0.04270606279151812, 0.20279236989654248]}, {"name": "hexagon", "size": [62.17400000000001, 53.843999999999994], "center": [40.0, 9.999999999999998], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [31.088, 26.922], "center": [8.881784197001252e-16, 0.0], "color": [0.3011948649955787, 0.7285940705193015, 0.2362776130637827]}, {"name": "hexagon", "size": [53.843999999999994, 62.17400000000001], "center": [1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}], "medium": [{"name": "hexagon", "size": [31.088, 26.921999999999997], "center": [2.9605947323337506e-16, 0.0], "color": [0.2771766060550862, 0.8536716417373096, 0.7393417267342869]}, {"name": "hexagon", "size": [62.17400000000001, 53.843999999999994], "center": [40.0, 9.999999999999998], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [46.63004368385498, 53.843999999999994], "center": [0.0, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [-8.881784197001252e-16, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}], "hard": [{"name": "hexagon", "size": [26.921999999999997, 31.088], "center": [0.0, 2.9605947323337506e-16], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [-8.881784197001252e-16, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.843999999999994], "center": [40.0, 9.999999999999998], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [46.63004368385498, 53.843999999999994], "center": [0.0, -1.7763568394002505e-15], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.592, 23.986], "center": [10.0, 2.2204460492503132e-17], "color": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027]}, {"name": "ellipse", "size": [34.592, 23.986], "center": [10.0, -2.2204460492503132e-17], "color": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027]}, {"name": "ellipse", "size": [34.592, 23.985999999999997], "center": [39.99999999999999, 9.999999999999998], "color": [0.7107444414023226, 0.7521421273061247, 0.18434667452866027]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [10.0, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.844], "center": [10.0, 0.0], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}, {"name": "hexagon", "size": [62.17400000000001, 53.843999999999994], "center": [40.0, 9.999999999999998], "color": [0.18227911290527843, 0.3107391216713389, 0.0658335779504825]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_104.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_104.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_104.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_104.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_104.png", "instructions": [["translate", [10, 0]], ["flip", "horizontal"], ["translate", [30, 10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right. <shapeB_step_0>\n- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_easy_no_19
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Rotate the square by 60 degrees clockwise around its center. <shapeB_step_0> - Shift the square to the right by a significant amount and significantly downward. <shapeB_step_1> - Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', -60], ['translate', [30, -30]], ['flip', 'horizontal']]
easy
{"instance_id": 19, "shape_A": {"name": "ellipse", "facecolor": [0.02491211279391181, 0.4536807357543369, 0.8966175072836458], "edgecolor": "black", "center": [-3.9968028886505636e-16, 0.0], "size": [30.426532720171558, 23.536395593884862]}, "shape_B": {"name": "square", "facecolor": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.66631165607066, 33.66631165607066]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_19.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_19.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_19.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_19.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_19.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [45.99, 45.99], "center": [4.440892098500626e-16, -8.881784197001252e-16], "color": [0.0035328985941434077, 0.7653958071255011, 0.012207764824052503]}, {"name": "square", "size": [45.989999999999995, 45.989999999999995], "center": [30.0, 30.0], "color": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546]}, {"name": "square", "size": [33.666, 33.666], "center": [0.0, 0.0], "color": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546]}, {"name": "square", "size": [22.994999999999997, 22.996], "center": [0.0, 0.00024999999999997247], "color": [0.4976276074007977, 0.49864224004373814, 0.8074545637201558]}], "medium": [{"name": "square", "size": [45.989999999999995, 45.989999999999995], "center": [30.0, 30.0], "color": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546]}, {"name": "square", "size": [22.996, 22.996], "center": [0.0, 1.1102230246251565e-16], "color": [0.9662932638476627, 0.749334809027361, 0.3601886475941525]}, {"name": "square", "size": [33.666, 33.666], "center": [0.0, 0.0], "color": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546]}, {"name": "square", "size": [45.99, 45.99], "center": [4.440892098500626e-16, -8.881784197001252e-16], "color": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [25.432, 28.82], "center": [1.3322676295501878e-16, -5.329070518200751e-16], "color": [0.02491211279391181, 0.4536807357543369, 0.8966175072836458]}, {"name": "ellipse", "size": [25.432000000000002, 28.819999999999997], "center": [30.000000000000007, -30.000000000000007], "color": [0.02491211279391181, 0.4536807357543369, 0.8966175072836458]}, {"name": "ellipse", "size": [25.432000000000002, 28.819999999999997], "center": [30.000000000000007, 30.000000000000007], "color": [0.02491211279391181, 0.4536807357543369, 0.8966175072836458]}], "tranformed_B_sequence_info": [{"name": "square", "size": [45.99, 45.99], "center": [4.440892098500626e-16, -8.881784197001252e-16], "color": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546]}, {"name": "square", "size": [45.989999999999995, 45.989999999999995], "center": [30.0, -30.0], "color": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546]}, {"name": "square", "size": [45.989999999999995, 45.989999999999995], "center": [30.0, 30.0], "color": [0.6461015079296982, 0.09044080766027263, 0.5006577902523546]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_19.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_19.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_19.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_19.png", "instructions": [["rotate", -60], ["translate", [30, -30]], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the square to the right by a significant amount and significantly downward. <shapeB_step_1>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A"}
3steps_easy_no_100
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_1> - Reduce the size of the hexagon, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', 30], ['translate', [30, -10]], ['scale', 0.5]]
easy
{"instance_id": 100, "shape_A": {"name": "rectangle", "facecolor": [0.636508616924554, 0.18554177849338294, 0.09380913897594545], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.642532378280357, 22.003028402354666]}, "shape_B": {"name": "hexagon", "facecolor": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.12874381864924, 57.269172067303415]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_100.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_100.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_100.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_100.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_100.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_100.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_100.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [0.0001666666666656861, 5.921189464667501e-16], "color": [0.5795771732275176, 0.46454687382641935, 0.010774645674016536]}, {"name": "hexagon", "size": [57.27, 66.128], "center": [0.0, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [29.99966666666667, -9.999999999999998], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [66.128, 57.27], "center": [5.921189464667501e-16, 0.0], "color": [0.09984104475250988, 0.397106043945775, 0.5448291759356968]}], "medium": [{"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [0.0001666666666656861, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [66.128, 57.269999999999996], "center": [-1.7763568394002505e-15, 0.0], "color": [0.7958903089422529, 0.14059568326348226, 0.1130815999466449]}, {"name": "hexagon", "size": [57.27, 66.128], "center": [0.0, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [29.99966666666667, -9.999999999999998], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}], "hard": [{"name": "hexagon", "size": [57.27, 66.128], "center": [0.0, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [0.0001666666666656861, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [29.99966666666667, -9.999999999999998], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [66.128, 57.27], "center": [1.1842378929335002e-15, 2.3684757858670005e-15], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [38.404, 34.876], "center": [0.0, -2.220446049250313e-16], "color": [0.636508616924554, 0.18554177849338294, 0.09380913897594545]}, {"name": "rectangle", "size": [38.403999999999996, 34.876], "center": [30.0, -10.0], "color": [0.636508616924554, 0.18554177849338294, 0.09380913897594545]}, {"name": "rectangle", "size": [19.201999999999998, 17.438000000000002], "center": [30.0, -10.0], "color": [0.636508616924554, 0.18554177849338294, 0.09380913897594545]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [57.27, 66.128], "center": [0.0, 5.921189464667501e-16], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [57.269999999999996, 66.128], "center": [29.999999999999996, -10.0], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}, {"name": "hexagon", "size": [28.634999999999998, 33.064], "center": [29.99966666666667, -9.999999999999998], "color": [0.10297803208979861, 0.3899309993827522, 0.5743028538105662]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_100.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_100.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_100.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_100.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_100.png", "instructions": [["rotate", 30], ["translate", [30, -10]], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "C"}
3steps_easy_no_119
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_1> - Shift the triangle a little to the left. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['rotate', 30], ['translate', [-30, 30]], ['translate', [-10, 0]]]
easy
{"instance_id": 119, "shape_A": {"name": "rectangle", "facecolor": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.24822105989614, 21.66208613025525]}, "shape_B": {"name": "triangle", "facecolor": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684], "edgecolor": "black", "center": [0.0, 0.0], "size": [52.08814540413783, 54.442623146343855]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [24.711, 32.265], "center": [0.7625000000000001, -2.2818333333333336], "color": [0.7610957147710081, 0.5336540213797596, 0.4541393548714845]}, {"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [48.341, 65.95400000000001], "center": [3.1141666666666663, 2.6070000000000007], "color": [0.7527492895017147, 0.6048197007594652, 0.8781372278971241]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "medium": [{"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [26.044, 27.221], "center": [-3.943, -3.099499999999999], "color": [0.38694623214830115, 0.7687280455169108, 0.5401432841943017]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [55.977000000000004, 56.331], "center": [4.710500000000001, -0.3354999999999985], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "hard": [{"name": "triangle", "size": [52.088, 54.442], "center": [-7.886333333333334, 6.198999999999999], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [32.265, 24.711], "center": [2.2818333333333336, 0.7625000000000001], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [40.49, 35.884], "center": [0.0, -3.608224830031759e-16], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}, {"name": "rectangle", "size": [40.489999999999995, 35.884], "center": [-30.0, 29.999999999999996], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}, {"name": "rectangle", "size": [40.489999999999995, 35.884], "center": [-40.0, 29.999999999999996], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [65.95400000000001, 48.341], "center": [1.1842378929335002e-15, -0.0003333333333337407], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.954, 48.340999999999994], "center": [-30.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_119.png", "instructions": [["rotate", 30], ["translate", [-30, 30]], ["translate", [-10, 0]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_1>\n- Shift the triangle a little to the left. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "B"}
3steps_easy_no_110
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount. <shapeB_step_0> - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_1> - Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, 0]], ['rotate', -90], ['rotate', 60]]
easy
{"instance_id": 110, "shape_A": {"name": "ellipse", "facecolor": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274], "edgecolor": "black", "center": [8.881784197001252e-16, 1.6653345369377347e-17], "size": [31.56780986839368, 23.35485878254977]}, "shape_B": {"name": "triangle", "facecolor": [0.013654040070595674, 0.9041899829290092, 0.408800226313195], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [57.272688268961865, 44.83118415230587]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_110.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_110.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_110.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_110.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_110.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_110.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_110.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.411073268305854, 0.4702635053655241, 0.07364290352584102]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.41809666137676704, 0.3091681172361146, 0.93701782027891]}], "medium": [{"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.7659713265308546, 0.10777355396011701, 0.5637184549069518]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}], "hard": [{"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.567999999999998, 23.354], "center": [-30.0, -9.325873406851315e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}, {"name": "ellipse", "size": [23.354, 31.568], "center": [-30.0, -3.552713678800501e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}, {"name": "ellipse", "size": [29.659999999999997, 25.64], "center": [-30.000000000000007, -4.884981308350689e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [57.272, 44.831], "center": [-30.0, 0.0], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [-30.0, 0.0], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_110.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_110.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_110.png", "instructions": [["translate", [-30, 0]], ["rotate", -90], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount. <shapeB_step_0>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
3steps_easy_no_101
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the left by a significant amount and significantly downward. <shapeB_step_0> - Shift the square a little to the left and significantly upward. <shapeB_step_1> - Reduce the size of the square, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, -30]], ['translate', [-10, 30]], ['scale', 0.5]]
easy
{"instance_id": 101, "shape_A": {"name": "pentagon", "facecolor": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645], "edgecolor": "black", "center": [-3.552713678800501e-16, 0.0], "size": [56.56226326649088, 59.47308314213494]}, "shape_B": {"name": "square", "facecolor": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.86564712611827, 32.86564712611827]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_101.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_101.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_101.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_101.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_101.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_101.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_101.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [32.866, 32.866], "center": [0.0, 0.0], "color": [0.22764661331324487, 0.1770470758095134, 0.5801441206875824]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [44.896, 44.896], "center": [0.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [0.0, 0.0], "color": [0.42019887081099183, 0.8287172073316748, 0.7252944145440218]}], "medium": [{"name": "square", "size": [32.866, 32.866], "center": [0.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [16.432000000000002, 16.432000000000002], "center": [-8.881784197001252e-16, -8.881784197001252e-16], "color": [0.8436972954650792, 0.5414012975449087, 0.9908271681102995]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [44.896, 44.896], "center": [0.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}], "hard": [{"name": "square", "size": [16.432000000000002, 16.432000000000002], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [44.896, 44.896], "center": [0.0, -2.220446049250313e-16], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [32.866, 32.866], "center": [0.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [56.562000000000005, 59.474000000000004], "center": [-29.9998, -30.0], "color": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645]}, {"name": "pentagon", "size": [56.562, 59.474], "center": [-39.9998, -7.105427357601002e-16], "color": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645]}, {"name": "pentagon", "size": [28.281, 29.736], "center": [-39.9996, 3.552713678800501e-16], "color": [0.03265833366960047, 0.41080551222202943, 0.4519012488987645]}], "tranformed_B_sequence_info": [{"name": "square", "size": [32.866, 32.866], "center": [-30.0, -30.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [32.866, 32.866], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}, {"name": "square", "size": [16.432000000000002, 16.432], "center": [-40.0, 0.0], "color": [0.5713567907394398, 0.3676433377953411, 0.9515124681203513]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_101.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_101.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_101.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_101.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_101.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the square, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "D"}
3steps_easy_no_48
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon slightly downward. <shapeB_step_0> - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1> - Reduce the size of the pentagon, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [0, -10]], ['translate', [-30, -30]], ['scale', 0.5]]
easy
{"instance_id": 48, "shape_A": {"name": "circle", "facecolor": [0.21717813862624125, 0.551693073585068, 0.15671934678890898], "edgecolor": "black", "center": [3.3750779948604757e-15, 1.7319479184152442e-15], "size": [69.31252468278147, 69.31252468278147]}, "shape_B": {"name": "pentagon", "facecolor": [0.4685797635145371, 0.8680300991122848, 0.13055508406922411], "edgecolor": "black", "center": [-7.105427357601002e-16, 7.105427357601002e-16], "size": [55.046126396301545, 57.87892249635601]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_48.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_48.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_48.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [103.571, 25.856], "center": [2.8594999999999997, 0.5919999999999999], "color": [0.4685797635145371, 0.8680300991122848, 0.13055508406922411]}, {"name": "pentagon", "size": [27.523, 28.939999999999998], "center": [-29.999399999999998, -40.0], "color": [0.4685797635145371, 0.8680300991122848, 0.13055508406922411]}, {"name": "pentagon", "size": [27.523, 28.939999999999998], "center": [-1.4528999999999974, 7.105427357601002e-16], "color": [0.9102314905694789, 0.4096798908582361, 0.5616640713238805]}, {"name": "pentagon", "size": [55.046, 57.878], "center": [-2.905799999999999, 7.105427357601002e-16], "color": [0.6286824902114844, 0.6998626141496227, 0.2812346122411169]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [69.312, 69.312], "center": [0.0, -9.999999999999998], "color": [0.21717813862624125, 0.551693073585068, 0.15671934678890898]}, {"name": "circle", "size": [69.31200000000001, 69.31200000000001], "center": [-30.000000000000007, -40.0], "color": [0.21717813862624125, 0.551693073585068, 0.15671934678890898]}, {"name": "circle", "size": [34.656000000000006, 34.656000000000006], "center": [-30.000100000000003, -40.0], "color": [0.21717813862624125, 0.551693073585068, 0.15671934678890898]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [55.046, 57.878], "center": [0.00019999999999988915, -10.0], "color": [0.4685797635145371, 0.8680300991122848, 0.13055508406922411]}, {"name": "pentagon", "size": [55.046, 57.87799999999999], "center": [-29.9998, -40.0], "color": [0.4685797635145371, 0.8680300991122848, 0.13055508406922411]}, {"name": "pentagon", "size": [27.523, 28.939999999999998], "center": [-29.999399999999998, -40.0], "color": [0.4685797635145371, 0.8680300991122848, 0.13055508406922411]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_48.png", "instructions": [["translate", [0, -10]], ["translate", [-30, -30]], ["scale", 0.5]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon slightly downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_1>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B"}
3steps_easy_no_12
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and slightly upward. <shapeB_step_0> - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_1> - Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, 10]], ['rotate', -90], ['translate', [-30, -30]]]
easy
{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767], "edgecolor": "black", "center": [-4.440892098500626e-16, 1.1102230246251565e-16], "size": [33.31177726263126, 24.216419750428884]}, "shape_B": {"name": "rectangle", "facecolor": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.9857626998606, 20.511560514843]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [18.978, 16.878], "center": [0.0, 0.0], "color": [0.38827492100545835, 0.03531900482642425, 0.7080689593758711]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.5720424340368412, 0.1899151604113507, 0.7265498765809035]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "medium": [{"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [18.978, 16.878], "center": [0.0, 0.0], "color": [0.86749775469823, 0.3816692198055871, 0.29835575381746327]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "hard": [{"name": "rectangle", "size": [20.512, 13.153946851747637], "center": [8.881784197001252e-16, -1.7763568394002505e-15], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.312, 24.216], "center": [-9.999999999999998, 9.999999999999996], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}, {"name": "ellipse", "size": [24.216, 33.312], "center": [-10.000000000000004, 9.999999999999998], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}, {"name": "ellipse", "size": [24.215999999999998, 33.312], "center": [-40.00000000000001, -19.999999999999996], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [-10.0, 10.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [-10.0, 10.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_12.png", "instructions": [["translate", [-10, 10]], ["rotate", -90], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly upward. <shapeB_step_0>\n- Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_easy_no_44
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the left and significantly upward. <shapeB_step_0> - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Reduce the size of the ellipse, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-10, 30]], ['rotate', 30], ['scale', 0.5]]
easy
{"instance_id": 44, "shape_A": {"name": "square", "facecolor": [0.9520282695406308, 0.5074165021419356, 0.2714735608792638], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.32881669521241, 31.32881669521241]}, "shape_B": {"name": "ellipse", "facecolor": [0.5229487959144409, 0.24469224554353997, 0.797269863929121], "edgecolor": "black", "center": [-1.7763568394002506e-16, -2.997602166487923e-16], "size": [34.58733417330939, 24.530704837409168]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_44.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_44.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_44.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_44.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_44.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_44.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_44.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [17.294, 12.264999999999997], "center": [0.00020000000000015562, 0.00042500000000211813], "color": [0.6349325523854291, 0.7555430490989568, 0.9922376871145898]}, {"name": "ellipse", "size": [24.53, 34.587999999999994], "center": [6.661338147750939e-17, -8.881784197001252e-16], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [16.139, 13.676000000000002], "center": [-10.0003, 29.999999999999993], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [34.588, 24.53], "center": [-1.7763568394002506e-16, 2.6645352591003756e-16], "color": [0.2517477777194995, 0.4071688696842949, 0.2707432023629929]}], "medium": [{"name": "ellipse", "size": [34.588, 24.53], "center": [-1.7763568394002506e-16, 2.6645352591003756e-16], "color": [0.46832639893652706, 0.4608036902711078, 0.3330120980663983]}, {"name": "ellipse", "size": [16.139000000000003, 11.445867641956742], "center": [0.00018664276627760045, 0.00039661587834043387], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [27.352, 32.278], "center": [-3.108624468950438e-16, 3.108624468950438e-16], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [16.139, 13.676000000000002], "center": [-10.0003, 29.999999999999993], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}], "hard": [{"name": "ellipse", "size": [16.138999999999996, 11.446800855788135], "center": [-1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [16.139, 13.676000000000002], "center": [-10.0003, 29.999999999999993], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [15.88, 22.84], "center": [1.3322676295501878e-16, 5.773159728050814e-16], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [34.588, 24.53], "center": [-1.7763568394002506e-16, 2.6645352591003756e-16], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.328000000000003, 31.328000000000003], "center": [-10.0, 30.0], "color": [0.9520282695406308, 0.5074165021419356, 0.2714735608792638]}, {"name": "square", "size": [42.794, 42.794], "center": [-10.0, 30.0], "color": [0.9520282695406308, 0.5074165021419356, 0.2714735608792638]}, {"name": "square", "size": [21.396, 21.396], "center": [-10.0, 29.999750000000002], "color": [0.9520282695406308, 0.5074165021419356, 0.2714735608792638]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [34.588, 24.53], "center": [-9.999999999999998, 29.999999999999993], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [32.278, 27.352], "center": [-10.000024999999997, 30.0], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}, {"name": "ellipse", "size": [16.139, 13.676000000000002], "center": [-10.0003, 29.999999999999993], "color": [0.5229487959144409, 0.24469224554353997, 0.797269863929121]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_44.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_44.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_44.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_44.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_44.png", "instructions": [["translate", [-10, 30]], ["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the left and significantly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "B"}
3steps_easy_no_33
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the rectangle a little to the left and significantly upward. <shapeB_step_1> - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['rotate', 90], ['translate', [-10, 30]], ['rotate', 90]]
easy
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041], "edgecolor": "black", "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "size": [19.332390195657048, 51.75319726203044]}, "shape_B": {"name": "rectangle", "facecolor": [0.8951348445353484, 0.4989122606375366, 0.454807857526233], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.85840322705855, 22.441294977053726]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [31.06, 11.38], "center": [0.0, 0.0], "color": [0.8741588850489151, 0.6691505617909366, 0.34893796194998616]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.5701337262934477, 0.8538291906787356, 0.2230512901263162]}, {"name": "rectangle", "size": [34.858, 22.442], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "medium": [{"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.2134208310699277, 0.2114928876461133, 0.02294273639205846]}, {"name": "rectangle", "size": [34.858000000000004, 22.441999999999997], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [36.864, 41.408], "center": [-5.551115123125783e-17, 8.881784197001252e-16], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "hard": [{"name": "rectangle", "size": [25.20828819444444, 22.441999999999997], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [36.864000000000004, 41.408], "center": [-8.881784197001252e-16, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [51.753, 19.333], "center": [-0.0003333333333325565, 5.921189464667501e-16], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}, {"name": "triangle", "size": [51.753, 19.333000000000002], "center": [-10.000333333333332, 30.0], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}, {"name": "triangle", "size": [19.333000000000002, 51.753], "center": [-10.0, 29.999666666666666], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858000000000004], "center": [-10.0, 30.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_33.png", "instructions": [["rotate", 90], ["translate", [-10, 30]], ["rotate", 90]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_1>\n- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "C"}
3steps_easy_no_5
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right and significantly upward. <shapeB_step_0> - Shift the hexagon a little to the right and significantly upward. <shapeB_step_1> - Reduce the size of the hexagon, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, 30]], ['translate', [10, 30]], ['scale', 0.5]]
easy
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.221549756418285, 0.6151068362844365, 0.7272429971637352], "edgecolor": "black", "center": [7.105427357601002e-16, -3.0531133177191805e-16], "size": [34.496333825617675, 21.61055909873163]}, "shape_B": {"name": "hexagon", "facecolor": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [61.483338256603645, 53.24613283969039]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_5.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_5.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [53.245999999999995, 61.483999999999995], "center": [0.0, 0.0], "color": [0.9229850357343844, 0.06713330813664775, 0.8317718884748545]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [2.9605947323337506e-16, -0.00016666666666983096], "color": [0.6651078630603089, 0.37430102343553684, 0.15263892476872376]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "medium": [{"name": "hexagon", "size": [53.246, 61.484], "center": [0.0, -5.921189464667501e-16], "color": [0.6089949155530653, 0.6578312279988884, 0.6934711878556589]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [23.05588865395875, 26.622999999999998], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "hard": [{"name": "hexagon", "size": [53.246, 61.483999999999995], "center": [0.0, 2.9605947323337506e-16], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [2.9605947323337506e-16, -0.00016666666666983096], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.496, 21.61], "center": [10.0, 30.000000000000007], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}, {"name": "ellipse", "size": [34.495999999999995, 21.610000000000007], "center": [20.000000000000007, 59.99999999999998], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}, {"name": "ellipse", "size": [17.247999999999998, 10.805], "center": [20.000049999999995, 59.99982500000001], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [10.0, 30.0], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [61.483999999999995, 53.246], "center": [20.0, 60.0], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_5.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_5.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_5.png", "instructions": [["translate", [10, 30]], ["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the right and significantly upward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "D"}
3steps_easy_no_15
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_0> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1> - Reduce the size of the triangle, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['rotate', -60], ['rotate', -60], ['scale', 0.5]]
easy
{"instance_id": 15, "shape_A": {"name": "ellipse", "facecolor": [0.5197618455230746, 0.3750298817049422, 0.20541869616334685], "edgecolor": "black", "center": [-2.220446049250313e-16, 3.164135620181696e-16], "size": [31.018468305961346, 22.76052474170135]}, "shape_B": {"name": "triangle", "facecolor": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [29.763981038167206, 42.51742528820104]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_15.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_15.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_15.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_15.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_15.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [25.851, 6.02], "center": [0.0003333333333331486, -0.00033333333333333365], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [25.973, 47.035], "center": [-2.984166666666667, -2.140833333333333], "color": [0.033609351396258424, 0.5995149128924895, 0.5158136315528283]}, {"name": "triangle", "size": [51.703, 12.041], "center": [-4.354499999999999, -0.5008333333333334], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [14.881999999999998, 21.257999999999996], "center": [-0.3233333333333306, -2.7010000000000005], "color": [0.6568842227068429, 0.8039099091153836, 0.2860065117086954]}], "medium": [{"name": "triangle", "size": [4.214297339887576, 6.020000000000003], "center": [-0.09156180664988749, -0.7648006679681068], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [25.973, 47.035], "center": [-2.984166666666667, -2.140833333333333], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [25.851, 6.02], "center": [0.0003333333333331486, -0.00033333333333333365], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [51.703, 12.041], "center": [-4.354499999999999, -0.5008333333333334], "color": [0.8965238227458783, 0.8620232792746327, 0.481970162065836]}], "hard": [{"name": "triangle", "size": [4.214297339887576, 6.020000000000001], "center": [0.09156180664988749, -0.7648006679681071], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [51.703, 12.041], "center": [-4.354499999999999, -0.5008333333333334], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [25.851, 6.02], "center": [0.0003333333333331486, -0.00033333333333333365], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [25.973, 47.035], "center": [-2.984166666666667, -2.140833333333333], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [25.062, 29.102], "center": [1.9984014443252818e-16, 3.9968028886505636e-16], "color": [0.5197618455230746, 0.3750298817049422, 0.20541869616334685]}, {"name": "ellipse", "size": [25.062, 29.102], "center": [-3.108624468950438e-16, -4.4408920985006264e-17], "color": [0.5197618455230746, 0.3750298817049422, 0.20541869616334685]}, {"name": "ellipse", "size": [12.532, 14.552], "center": [-0.0001249999999992868, 2.220446049250313e-16], "color": [0.5197618455230746, 0.3750298817049422, 0.20541869616334685]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [25.973, 47.035], "center": [0.0003333333333331486, -0.0003333333333325565], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [51.703, 12.041], "center": [0.0, -0.0003333333333332226], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}, {"name": "triangle", "size": [25.851, 6.02], "center": [0.0003333333333331486, -0.00033333333333333365], "color": [0.7436456813620216, 0.007114079430603493, 0.5225406297879561]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_15.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_15.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_15.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_15.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_15.png", "instructions": [["rotate", -60], ["rotate", -60], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "C"}
3steps_easy_no_37
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['rotate', 30], ['rotate', 60], ['rotate', -60]]
easy
{"instance_id": 37, "shape_A": {"name": "pentagon", "facecolor": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859], "edgecolor": "black", "center": [1.0658141036401502e-15, 7.105427357601002e-16], "size": [56.147136844620704, 59.03659339125525]}, "shape_B": {"name": "triangle", "facecolor": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525], "edgecolor": "black", "center": [-2.3684757858670005e-15, 1.1842378929335002e-15], "size": [62.90147225018034, 47.779774958766296]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_37.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [66.224, 44.321], "center": [-5.308, 1.0055000000000003], "color": [0.2898964801600078, 0.8281485010041434, 0.3904264100139835]}, {"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.5405380228975399, 0.022542478323140824, 0.82132780507667]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "medium": [{"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [15.199000000000002, 33.462], "center": [-0.2225000000000025, 5.194], "color": [0.9369268858238409, 0.984933929615118, 0.6532320009915383]}, {"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "hard": [{"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [23.090906807414708, 30.399000000000004], "center": [0.5775143079711297, -2.938315474865662], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [57.746, 58.713], "center": [7.105427357601002e-16, 0.0], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}, {"name": "pentagon", "size": [59.036, 56.147], "center": [7.105427357601002e-16, -0.00019999999999988915], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}, {"name": "pentagon", "size": [57.746, 58.713], "center": [7.105427357601002e-16, 0.0], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [0.0, 0.0], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_37.png", "instructions": [["rotate", 30], ["rotate", 60], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "D"}
3steps_easy_no_46
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left. <shapeB_step_0> - Shift the triangle a little to the left and significantly upward. <shapeB_step_1> - Reduce the size of the triangle, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, 0]], ['translate', [-10, 30]], ['scale', 0.5]]
easy
{"instance_id": 46, "shape_A": {"name": "circle", "facecolor": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979], "edgecolor": "black", "center": [-3.552713678800501e-16, -4.440892098500626e-16], "size": [67.98487233325186, 67.98487233325186]}, "shape_B": {"name": "triangle", "facecolor": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128], "edgecolor": "black", "center": [5.921189464667501e-16, 0.0], "size": [50.99089879548055, 40.220157193936984]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [14.483, 60.849999999999994], "center": [-1.2754999999999999, 8.31], "color": [0.0770404484725824, 0.6931990618593454, 0.3216625516112498]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.8274478911329491, 0.7024348173059176, 0.7955570782592551]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [2.533666666666667, -2.212000000000002], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "medium": [{"name": "triangle", "size": [14.483000000000004, 60.851], "center": [-1.2754999999999999, 8.310166666666666], "color": [0.4602388711184705, 0.4378709532106887, 0.5910629290058035]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 12.691169729259538], "center": [4.129820352047164, 0.21561620335133416], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "hard": [{"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [4.786411339359079, 20.110000000000003], "center": [-0.4215333607230889, 2.746328677074773], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [20.11, 25.496000000000002], "center": [2.212, 2.534], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [67.984, 67.984], "center": [-10.0, -1.1990408665951691e-15], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}, {"name": "circle", "size": [67.984, 67.984], "center": [-20.000000000000007, 30.0], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}, {"name": "circle", "size": [33.992000000000004, 33.992000000000004], "center": [-20.000099999999996, 30.000049999999998], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [50.991, 40.22], "center": [-10.0, -5.921189464667501e-16], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [-20.000000000000004, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_46.png", "instructions": [["translate", [-10, 0]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left. <shapeB_step_0>\n- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_easy_no_73
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and significantly downward. <shapeB_step_0> - Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-10, -30]], ['translate', [30, 10]], ['flip', 'vertical']]
easy
{"instance_id": 73, "shape_A": {"name": "triangle", "facecolor": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.787677252098604, 22.748862674852653]}, "shape_B": {"name": "rectangle", "facecolor": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.77488913308872, 21.149583667217854]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_73.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_73.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_73.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [39.826, 35.202], "center": [0.0, 3.3306690738754696e-16], "color": [0.8391437219984859, 0.8207609301134132, 0.7756596633854753]}, {"name": "rectangle", "size": [21.15, 33.774], "center": [0.0, 0.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.7656666102185837, 0.03511478903215426, 0.3050668757193612]}], "medium": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [39.82599999999999, 35.202], "center": [8.881784197001252e-16, 0.0], "color": [0.969324626201332, 0.18628970939629597, 0.12771629092021286]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [13.242545002368544, 21.15], "center": [0.0, 0.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}], "hard": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [18.696379067898754, 21.15], "center": [0.0, -2.220446049250313e-16], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [21.150000000000002, 33.775999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [60.788000000000004, 22.749], "center": [-9.999666666666668, -30.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}, {"name": "triangle", "size": [60.788, 22.749], "center": [20.000333333333334, -20.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}, {"name": "triangle", "size": [60.788, 22.749], "center": [-20.000333333333334, -20.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [-10.0, -30.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_73.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_73.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]], ["translate", [30, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and significantly downward. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "B"}
3steps_medium_no_8
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse slightly upward. <shapeB_step_0> - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the ellipse a little to the right and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [0, 10]], ['rotate', 30], ['translate', [10, 30]]]
medium
{"instance_id": 8, "shape_A": {"name": "square", "facecolor": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.085712988012137, 30.085712988012137]}, "shape_B": {"name": "ellipse", "facecolor": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251], "edgecolor": "black", "center": [-2.6645352591003756e-16, -2.609024107869118e-16], "size": [34.54886682999383, 20.535082143472465]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_8.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [34.548, 20.536], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.3771695684842872, 0.4760051001318911, 0.6367480755556387]}, {"name": "ellipse", "size": [31.628, 24.790000000000003], "center": [10.000000000000002, 40.00000000000001], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [10.268, 17.274], "center": [2.3592239273284576e-16, -8.881784197001253e-17], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [24.79, 31.628], "center": [-2.4424906541753446e-16, -1.7763568394002506e-16], "color": [0.7028451500191061, 0.08268612250580176, 0.8453297945403281]}], "medium": [{"name": "ellipse", "size": [31.628, 24.790000000000003], "center": [10.000000000000002, 40.00000000000001], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [14.735655899039017, 24.789999999999996], "center": [-8.881784197001253e-17, -2.6645352591003756e-16], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [34.548, 20.536], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [17.274, 10.268], "center": [8.881784197001253e-17, -8.881784197001253e-17], "color": [0.5969245552870913, 0.7844387242528075, 0.8637181772681916]}], "hard": [{"name": "ellipse", "size": [31.628, 24.790000000000003], "center": [10.000000000000002, 40.00000000000001], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [34.548, 20.536], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [15.427376403843928, 24.79], "center": [-7.494005416219807e-16, 2.6645352591003756e-16], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [17.274, 10.268], "center": [-4.999999999983906e-05, -0.00025000000000032776], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.086, 30.086], "center": [0.0, 10.0], "color": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485]}, {"name": "square", "size": [41.098, 41.098], "center": [0.0, 10.0], "color": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485]}, {"name": "square", "size": [41.098, 41.098], "center": [10.0, 40.0], "color": [0.7643388435720192, 0.4123922224155927, 0.8425447168253485]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [34.548, 20.536], "center": [3.552713678800501e-16, 9.999999999999996], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [31.628, 24.79], "center": [-4.440892098500626e-16, 10.000000000000002], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}, {"name": "ellipse", "size": [31.628, 24.790000000000003], "center": [10.000000000000002, 40.00000000000001], "color": [0.6667547295533397, 0.6165193610843379, 0.4832041536218251]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_8.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_8.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_8.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_8.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_8.png", "instructions": [["translate", [0, 10]], ["rotate", 30], ["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse slightly upward. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse a little to the right and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "A"}
3steps_medium_no_5
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right and significantly upward. <shapeB_step_0> - Shift the hexagon a little to the right and significantly upward. <shapeB_step_1> - Reduce the size of the hexagon, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [10, 30]], ['translate', [10, 30]], ['scale', 0.5]]
medium
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.221549756418285, 0.6151068362844365, 0.7272429971637352], "edgecolor": "black", "center": [7.105427357601002e-16, -3.0531133177191805e-16], "size": [34.496333825617675, 21.61055909873163]}, "shape_B": {"name": "hexagon", "facecolor": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [61.483338256603645, 53.24613283969039]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_5.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_5.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [53.245999999999995, 61.483999999999995], "center": [0.0, 0.0], "color": [0.9229850357343844, 0.06713330813664775, 0.8317718884748545]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [2.9605947323337506e-16, -0.00016666666666983096], "color": [0.6651078630603089, 0.37430102343553684, 0.15263892476872376]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "medium": [{"name": "hexagon", "size": [53.246, 61.484], "center": [0.0, -5.921189464667501e-16], "color": [0.6089949155530653, 0.6578312279988884, 0.6934711878556589]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [23.05588865395875, 26.622999999999998], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "hard": [{"name": "hexagon", "size": [53.246, 61.483999999999995], "center": [0.0, 2.9605947323337506e-16], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [8.881784197001252e-16, -1.1842378929335002e-15], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [2.9605947323337506e-16, -0.00016666666666983096], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.496, 21.61], "center": [10.0, 30.000000000000007], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}, {"name": "ellipse", "size": [34.495999999999995, 21.610000000000007], "center": [20.000000000000007, 59.99999999999998], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}, {"name": "ellipse", "size": [17.247999999999998, 10.805], "center": [20.000049999999995, 59.99982500000001], "color": [0.221549756418285, 0.6151068362844365, 0.7272429971637352]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.483999999999995, 53.245999999999995], "center": [10.0, 30.0], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [61.483999999999995, 53.246], "center": [20.0, 60.0], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}, {"name": "hexagon", "size": [30.742000000000004, 26.622999999999998], "center": [20.000000000000004, 60.000333333333344], "color": [0.9087516879065402, 0.6589030736792922, 0.30163032902808873]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_5.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_5.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_5.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_5.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_5.png", "instructions": [["translate", [10, 30]], ["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the right and significantly upward. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "D"}
3steps_medium_no_84
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the left by a significant amount and slightly downward. <shapeB_step_0> - Rotate the hexagon by 60 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the hexagon a little to the right and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -10]], ['rotate', 60], ['translate', [10, 30]]]
medium
{"instance_id": 84, "shape_A": {"name": "square", "facecolor": [0.6429600234779433, 0.6489315441480195, 0.05780857302120157], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.35509309885707, 31.35509309885707]}, "shape_B": {"name": "hexagon", "facecolor": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985], "edgecolor": "black", "center": [-5.921189464667501e-16, -5.921189464667501e-16], "size": [65.67369012348684, 56.875084007206794]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_84.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_84.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_84.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_84.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_84.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_84.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_84.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [-19.999999999999996, 20.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}, {"name": "hexagon", "size": [33.824, 40.977999999999994], "center": [-5.921189464667501e-16, 0.0], "color": [0.05230311592232295, 0.5237748954177709, 0.3375784868077897]}, {"name": "hexagon", "size": [56.876000000000005, 65.674], "center": [0.0, 0.0], "color": [0.25476570032730905, 0.4309533929422287, 0.005720868757729147]}, {"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [0.0, 0.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}], "medium": [{"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [0.0, 0.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}, {"name": "hexagon", "size": [56.876000000000005, 65.674], "center": [0.0, -1.7763568394002505e-15], "color": [0.060763136844027565, 0.045222161690247065, 0.6936865101217071]}, {"name": "hexagon", "size": [49.25662173767396, 56.876000000000005], "center": [0.0, 0.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}, {"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [-19.999999999999996, 20.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}], "hard": [{"name": "hexagon", "size": [32.836, 28.438], "center": [0.0, 0.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}, {"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [-19.999999999999996, 20.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}, {"name": "hexagon", "size": [49.25662173767397, 56.876000000000005], "center": [1.1842378929335002e-15, 0.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}, {"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [0.0, 0.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.355999999999998, 31.356], "center": [-30.0, -10.000000000000002], "color": [0.6429600234779433, 0.6489315441480195, 0.05780857302120157]}, {"name": "square", "size": [42.834, 42.834], "center": [-30.0, -10.0], "color": [0.6429600234779433, 0.6489315441480195, 0.05780857302120157]}, {"name": "square", "size": [42.834, 42.834], "center": [-20.0, 20.0], "color": [0.6429600234779433, 0.6489315441480195, 0.05780857302120157]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [-30.0, -10.000000000000002], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}, {"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [-30.0, -10.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}, {"name": "hexagon", "size": [65.674, 56.876000000000005], "center": [-19.999999999999996, 20.0], "color": [0.5755345496716634, 0.37007788122306795, 0.30594734450830985]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_84.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_84.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_84.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_84.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_84.png", "instructions": [["translate", [-30, -10]], ["rotate", 60], ["translate", [10, 30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the hexagon by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the hexagon a little to the right and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D", "hard": "B"}
3steps_medium_no_29
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Reduce the size of the square, making it smaller. <shapeB_step_0> - Shift the square a little to the right and slightly upward. <shapeB_step_1> - Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['scale', 0.5], ['translate', [10, 10]], ['rotate', 60]]
medium
{"instance_id": 29, "shape_A": {"name": "ellipse", "facecolor": [0.4220150118646, 0.5498486105722737, 0.26067444221513203], "edgecolor": "black", "center": [8.881784197001253e-17, -2.2204460492503132e-17], "size": [33.22785612913323, 23.57222483948403]}, "shape_B": {"name": "square", "facecolor": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.018814484423327, 31.018814484423327]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.27325300236291905, 0.8688553705669743, 0.22576546872889092]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.6401774889899354, 0.3628194846901699, 0.3335173486029427]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "medium": [{"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.657562934803727, 0.14267014249265686, 0.5675607750968812]}, {"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "hard": [{"name": "square", "size": [42.372, 42.372], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [31.018, 31.018], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.614, 11.786], "center": [0.0, -1.3877787807814457e-17], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}, {"name": "ellipse", "size": [16.613999999999997, 11.786000000000001], "center": [10.0, 10.000000000000002], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}, {"name": "ellipse", "size": [13.142000000000001, 15.503999999999998], "center": [10.0, 10.000024999999997], "color": [0.4220150118646, 0.5498486105722737, 0.26067444221513203]}], "tranformed_B_sequence_info": [{"name": "square", "size": [15.51, 15.51], "center": [0.0, 0.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [15.509999999999998, 15.509999999999998], "center": [9.999999999999998, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}, {"name": "square", "size": [21.188000000000002, 21.188000000000002], "center": [10.0, 10.0], "color": [0.03673394909555949, 0.14166733100793671, 0.8560851725386665]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_29.png", "instructions": [["scale", 0.5], ["translate", [10, 10]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Shift the square a little to the right and slightly upward. <shapeB_step_1>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "C"}
3steps_medium_no_98
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the right by a significant amount and significantly downward. <shapeB_step_0> - Rotate the pentagon by 30 degrees clockwise around its center. <shapeB_step_1> - Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [30, -30]], ['rotate', -30], ['flip', 'horizontal']]
medium
{"instance_id": 98, "shape_A": {"name": "rectangle", "facecolor": [0.5607942509604132, 0.5885239568234014, 0.8827049664629678], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.64360266730989, 23.851113595585208]}, "shape_B": {"name": "pentagon", "facecolor": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795], "edgecolor": "black", "center": [-1.0658141036401502e-15, -1.4210854715202005e-15], "size": [62.32894702365127, 65.53653327191748]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_98.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_98.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_98.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_98.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_98.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_98.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [62.32899999999999, 65.536], "center": [-3.290300000000002, 0.0], "color": [0.949090066546378, 0.2785418802793902, 0.8017101626967196]}, {"name": "pentagon", "size": [32.588, 32.052], "center": [-0.5564000000000014, 1.1067999999999993], "color": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795]}, {"name": "pentagon", "size": [84.84, 87.87], "center": [0.8569999999999993, 2.788999999999999], "color": [0.2188108822675794, 0.9735660125970901, 0.7340660265142204]}, {"name": "pentagon", "size": [64.105, 65.177], "center": [29.9998, 29.9998], "color": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795]}], "medium": [{"name": "pentagon", "size": [64.105, 65.177], "center": [29.9998, 29.9998], "color": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795]}, {"name": "pentagon", "size": [112.49799999999999, 28.892000000000003], "center": [2.7587999999999995, -1.1778], "color": [0.35096241337357437, 0.5043168128891028, 0.18368546710182387]}, {"name": "pentagon", "size": [43.602999999999994, 41.554], "center": [1.433700000000001, 0.2350000000000005], "color": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795]}, {"name": "pentagon", "size": [62.32899999999999, 65.536], "center": [-3.290300000000002, 0.0], "color": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [32.644000000000005, 23.852], "center": [30.0, -30.0], "color": [0.5607942509604132, 0.5885239568234014, 0.8827049664629678]}, {"name": "rectangle", "size": [40.196, 36.977999999999994], "center": [30.0, -30.0], "color": [0.5607942509604132, 0.5885239568234014, 0.8827049664629678]}, {"name": "rectangle", "size": [40.196, 36.977999999999994], "center": [30.0, 30.0], "color": [0.5607942509604132, 0.5885239568234014, 0.8827049664629678]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [62.329, 65.536], "center": [30.0002, -30.0], "color": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795]}, {"name": "pentagon", "size": [64.105, 65.177], "center": [29.9998, -29.9998], "color": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795]}, {"name": "pentagon", "size": [64.105, 65.177], "center": [29.9998, 29.9998], "color": [0.8078283932551233, 0.2558475052157898, 0.5105328988964795]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_98.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_98.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_98.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_98.png", "instructions": [["translate", [30, -30]], ["rotate", -30], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "A"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the right by a significant amount and significantly downward. <shapeB_step_0>\n- Rotate the pentagon by 30 degrees clockwise around its center. <shapeB_step_1>\n- Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A"}
3steps_medium_no_37
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['rotate', 30], ['rotate', 60], ['rotate', -60]]
medium
{"instance_id": 37, "shape_A": {"name": "pentagon", "facecolor": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859], "edgecolor": "black", "center": [1.0658141036401502e-15, 7.105427357601002e-16], "size": [56.147136844620704, 59.03659339125525]}, "shape_B": {"name": "triangle", "facecolor": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525], "edgecolor": "black", "center": [-2.3684757858670005e-15, 1.1842378929335002e-15], "size": [62.90147225018034, 47.779774958766296]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_37.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [66.224, 44.321], "center": [-5.308, 1.0055000000000003], "color": [0.2898964801600078, 0.8281485010041434, 0.3904264100139835]}, {"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.5405380228975399, 0.022542478323140824, 0.82132780507667]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "medium": [{"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [15.199000000000002, 33.462], "center": [-0.2225000000000025, 5.194], "color": [0.9369268858238409, 0.984933929615118, 0.6532320009915383]}, {"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "hard": [{"name": "triangle", "size": [66.923, 30.399], "center": [-10.388500000000002, -0.4444999999999999], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [1.1950000000000003, -6.080000000000001], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [23.090906807414708, 30.399000000000004], "center": [0.5775143079711297, -2.938315474865662], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [57.746, 58.713], "center": [7.105427357601002e-16, 0.0], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}, {"name": "pentagon", "size": [59.036, 56.147], "center": [7.105427357601002e-16, -0.00019999999999988915], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}, {"name": "pentagon", "size": [57.746, 58.713], "center": [7.105427357601002e-16, 0.0], "color": [0.14056259314187625, 0.005236285623617443, 0.7743856713773859]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [47.78, 62.902], "center": [0.0, 0.0], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}, {"name": "triangle", "size": [66.923, 30.399], "center": [0.0, -2.220446049250313e-16], "color": [0.7421539065397499, 0.4340630085307191, 0.5285294488718525]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_37.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_37.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_37.png", "instructions": [["rotate", 30], ["rotate", 60], ["rotate", -60]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "D"}
3steps_medium_no_109
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0> - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_1> - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [30, -10]], ['rotate', -90], ['rotate', 30]]
medium
{"instance_id": 109, "shape_A": {"name": "triangle", "facecolor": [0.7675200668955402, 0.14154581613407047, 0.9567019906659003], "edgecolor": "black", "center": [-1.1842378929335002e-15, 0.0], "size": [66.48918394374192, 43.10170094991224]}, "shape_B": {"name": "circle", "facecolor": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128], "edgecolor": "black", "center": [0.0, 1.3322676295501878e-16], "size": [65.58151792520623, 65.58151792520623]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_109.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_109.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_109.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_109.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_109.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_109.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_109.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [32.791, 32.791], "center": [0.00027500000000113545, 0.0004249999999990983], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.582, 65.582], "center": [1.7763568394002506e-16, -1.0658141036401502e-15], "color": [0.5863485345959211, 0.29571815651575206, 0.11901528655487881]}, {"name": "circle", "size": [52.034, 103.976], "center": [1.865174681370263e-15, -2.49999999947903e-05], "color": [0.006071189923965381, 0.8181163744491221, 0.6541969449061118]}, {"name": "circle", "size": [65.492, 65.492], "center": [29.99997499999999, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}], "medium": [{"name": "circle", "size": [65.492, 65.492], "center": [29.99997499999999, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.582, 65.582], "center": [1.7763568394002506e-16, -1.0658141036401502e-15], "color": [0.7762934949931305, 0.8170713508473622, 0.31934129824148383]}, {"name": "circle", "size": [35.428, 36.916], "center": [0.0001249999999992646, 0.00010000000000074394], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [90.905, 84.547], "center": [-7.500000000302265e-05, 2.499999999852065e-05], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}], "hard": [{"name": "circle", "size": [75.29400000000001, 79.96], "center": [-2.1316282072803005e-15, 2.4868995751603505e-15], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.492, 65.492], "center": [29.99997499999999, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [80.1, 100.68], "center": [1.1546319456101628e-15, -3.197442310920451e-15], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.582, 65.582], "center": [1.7763568394002506e-16, -1.0658141036401502e-15], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [66.489, 43.102000000000004], "center": [30.0, -9.999666666666668], "color": [0.7675200668955402, 0.14154581613407047, 0.9567019906659003]}, {"name": "triangle", "size": [43.102000000000004, 66.489], "center": [30.000333333333334, -10.0], "color": [0.7675200668955402, 0.14154581613407047, 0.9567019906659003]}, {"name": "triangle", "size": [49.464, 49.884], "center": [29.999666666666666, -9.999666666666668], "color": [0.7675200668955402, 0.14154581613407047, 0.9567019906659003]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [65.582, 65.582], "center": [29.999999999999993, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.582, 65.582], "center": [30.000000000000007, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}, {"name": "circle", "size": [65.492, 65.492], "center": [29.99997499999999, -10.0], "color": [0.6696655472495895, 0.6828028495784512, 0.8771553249603128]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_109.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_109.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_109.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_109.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_109.png", "instructions": [["translate", [30, -10]], ["rotate", -90], ["rotate", 30]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}
3steps_medium_no_116
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> - Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the rectangle a little to the left and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5], ['rotate', 30], ['translate', [-10, 30]]]
medium
{"instance_id": 116, "shape_A": {"name": "ellipse", "facecolor": [0.14983581719146077, 0.22054649121071468, 0.522659341815168], "edgecolor": "black", "center": [1.3766765505351941e-15, -1.6375789613221059e-15], "size": [31.158770268227133, 21.83825253166706]}, "shape_B": {"name": "rectangle", "facecolor": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.361434348036404, 21.038296870536314]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_116.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_116.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.038, 34.362], "center": [0.0, 0.0], "color": [0.4738612012040019, 0.46339808429722595, 0.015595731817389602]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [34.362, 21.038], "center": [0.0, 0.0], "color": [0.561972918152885, 0.18881943726245376, 0.745505124041497]}, {"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "medium": [{"name": "rectangle", "size": [21.037999999999997, 34.361999999999995], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [35.4, 40.276], "center": [0.0, 0.0], "color": [0.9672290981708529, 0.1122459874667675, 0.9668435672686875]}, {"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "hard": [{"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [7.492684491978611, 17.700000000000003], "center": [0.0, 1.3877787807814457e-16], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [40.278, 35.4], "center": [0.0, -8.881784197001252e-16], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.58, 10.92], "center": [-8.881784197001253e-17, 3.053113317719181e-17], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}, {"name": "ellipse", "size": [14.518, 12.228], "center": [-2.6645352591003756e-16, 5.884182030513329e-16], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}, {"name": "ellipse", "size": [14.518, 12.227999999999998], "center": [-10.000000000000002, 30.000000000000007], "color": [0.14983581719146077, 0.22054649121071468, 0.522659341815168]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [17.18, 10.52], "center": [0.0, 0.0], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.138, 17.7], "center": [0.0, 5.551115123125783e-17], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}, {"name": "rectangle", "size": [20.137999999999998, 17.700000000000003], "center": [-10.0, 30.000000000000004], "color": [0.8512268221842723, 0.09271583408842732, 0.9552810520951626]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_116.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_116.png", "instructions": [["scale", 0.5], ["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
3steps_medium_no_110
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount. <shapeB_step_0> - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_1> - Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, 0]], ['rotate', -90], ['rotate', 60]]
medium
{"instance_id": 110, "shape_A": {"name": "ellipse", "facecolor": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274], "edgecolor": "black", "center": [8.881784197001252e-16, 1.6653345369377347e-17], "size": [31.56780986839368, 23.35485878254977]}, "shape_B": {"name": "triangle", "facecolor": [0.013654040070595674, 0.9041899829290092, 0.408800226313195], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [57.272688268961865, 44.83118415230587]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_110.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_110.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_110.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_110.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_110.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_110.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_110.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.411073268305854, 0.4702635053655241, 0.07364290352584102]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.41809666137676704, 0.3091681172361146, 0.93701782027891]}], "medium": [{"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.7659713265308546, 0.10777355396011701, 0.5637184549069518]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}], "hard": [{"name": "triangle", "size": [63.949000000000005, 20.207], "center": [9.746500000000005, -2.1071666666666666], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [2.0944999999999965, -5.388000000000001], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [57.272000000000006, 44.831], "center": [5.387999999999998, 2.0945], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.567999999999998, 23.354], "center": [-30.0, -9.325873406851315e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}, {"name": "ellipse", "size": [23.354, 31.568], "center": [-30.0, -3.552713678800501e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}, {"name": "ellipse", "size": [29.659999999999997, 25.64], "center": [-30.000000000000007, -4.884981308350689e-16], "color": [0.5878685981334356, 0.3400675589583503, 0.9539353069240274]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [57.272, 44.831], "center": [-30.0, 0.0], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [44.830999999999996, 57.272000000000006], "center": [-30.0, 0.0], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}, {"name": "triangle", "size": [63.949000000000005, 20.207], "center": [-30.000000000000004, 0.0003333333333331486], "color": [0.013654040070595674, 0.9041899829290092, 0.408800226313195]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_110.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_110.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_110.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_110.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_110.png", "instructions": [["translate", [-30, 0]], ["rotate", -90], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount. <shapeB_step_0>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
3steps_medium_no_12
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and slightly upward. <shapeB_step_0> - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_1> - Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, 10]], ['rotate', -90], ['translate', [-30, -30]]]
medium
{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767], "edgecolor": "black", "center": [-4.440892098500626e-16, 1.1102230246251565e-16], "size": [33.31177726263126, 24.216419750428884]}, "shape_B": {"name": "rectangle", "facecolor": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.9857626998606, 20.511560514843]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [18.978, 16.878], "center": [0.0, 0.0], "color": [0.38827492100545835, 0.03531900482642425, 0.7080689593758711]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.5720424340368412, 0.1899151604113507, 0.7265498765809035]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "medium": [{"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [18.978, 16.878], "center": [0.0, 0.0], "color": [0.86749775469823, 0.3816692198055871, 0.29835575381746327]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "hard": [{"name": "rectangle", "size": [20.512, 13.153946851747637], "center": [8.881784197001252e-16, -1.7763568394002505e-15], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [8.881784197001252e-16, 0.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.312, 24.216], "center": [-9.999999999999998, 9.999999999999996], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}, {"name": "ellipse", "size": [24.216, 33.312], "center": [-10.000000000000004, 9.999999999999998], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}, {"name": "ellipse", "size": [24.215999999999998, 33.312], "center": [-40.00000000000001, -19.999999999999996], "color": [0.8050855691954864, 0.3054596983845568, 0.9670244433683767]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [31.985999999999997, 20.512], "center": [-10.0, 10.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.985999999999997], "center": [-10.0, 10.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}, {"name": "rectangle", "size": [20.512, 31.986000000000004], "center": [-40.0, -20.0], "color": [0.008897986070045771, 0.9115154380523718, 0.6473715541750241]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_12.png", "instructions": [["translate", [-10, 10]], ["rotate", -90], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and slightly upward. <shapeB_step_0>\n- Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Shift the rectangle to the left by a significant amount and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_medium_no_35
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and slightly downward. <shapeB_step_0> - Shift the circle a little to the right and slightly downward. <shapeB_step_1> - Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [10, -10]], ['translate', [10, -10]], ['rotate', 60]]
medium
{"instance_id": 35, "shape_A": {"name": "square", "facecolor": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.731355305141214, 34.731355305141214]}, "shape_B": {"name": "circle", "facecolor": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453], "edgecolor": "black", "center": [-3.552713678800501e-16, -1.6209256159527285e-15], "size": [67.16265623330358, 67.16265623330358]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_35.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_35.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_35.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_35.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_35.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_35.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_35.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.03912024451337648, 0.6447756664177201, 0.0694541146598261]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [161.938, 160.628], "center": [-5.151434834260726e-15, 6.217248937900877e-15], "color": [0.09511981777735212, 0.8025132821133648, 0.7232536695971956]}, {"name": "circle", "size": [40.182, 41.468], "center": [2.6645352591003756e-16, -2.6645352591003756e-16], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "medium": [{"name": "circle", "size": [38.66, 40.568], "center": [-1.7763568394002506e-16, -1.6875389974302379e-15], "color": [0.6594807777340282, 0.7352682788361867, 0.2058912343901773]}, {"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [55.70885862202439, 67.07], "center": [2.6645352591003756e-16, 1.5987211554602255e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "hard": [{"name": "circle", "size": [38.876, 43.382], "center": [7.50000000002693e-05, 2.5000000001096367e-05], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.162, 67.162], "center": [-1.2434497875801752e-15, 1.3766765505351941e-15], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [77.081, 80.034], "center": [5.000000000165983e-05, -0.00042500000000211813], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.732, 34.732], "center": [10.0, -10.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}, {"name": "square", "size": [34.732, 34.732], "center": [20.0, -20.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}, {"name": "square", "size": [47.444, 47.444], "center": [20.000000000000004, -20.0], "color": [0.1859148916434088, 0.24531814510107286, 0.21518416447158606]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.162, 67.162], "center": [10.000000000000004, -9.999999999999996], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.162, 67.162], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}, {"name": "circle", "size": [67.07, 67.07], "center": [20.000000000000004, -20.000000000000004], "color": [0.1146499527983682, 0.8090404668650117, 0.4293868004597453]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_35.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_35.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_35.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_35.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_35.png", "instructions": [["translate", [10, -10]], ["translate", [10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly downward. <shapeB_step_0>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_1>\n- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "D"}
3steps_medium_no_81
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right. <shapeB_step_0> - Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_1> - Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [10, 0]], ['rotate', -90], ['rotate', 30]]
medium
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.17912552445489, 22.988101159119363]}, "shape_B": {"name": "hexagon", "facecolor": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [62.09967199412151, 53.77989351359028]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_81.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [31.05, 26.89], "center": [-1.4802973661668753e-16, 0.0], "color": [0.7864275982321575, 0.6298749374904932, 0.9774570459046821]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [2.9605947323337506e-16, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [53.78, 62.1], "center": [0.0, -5.921189464667501e-16], "color": [0.6880611595314974, 0.8533321081194934, 0.9749882396852965]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}], "medium": [{"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [53.78, 62.1], "center": [0.0, -5.921189464667501e-16], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [2.9605947323337506e-16, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [31.05, 26.89], "center": [0.0003333333333332966, 0.0], "color": [0.3189332179187867, 0.31175823597036045, 0.5395762419424311]}], "hard": [{"name": "hexagon", "size": [31.049999999999997, 26.89], "center": [-0.0003333333333337407, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [53.78, 62.1], "center": [0.0, -5.921189464667501e-16], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [2.9605947323337506e-16, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.18, 22.988], "center": [10.0, 0.0], "color": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854]}, {"name": "rectangle", "size": [22.988, 34.18], "center": [10.0, 0.0], "color": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854]}, {"name": "rectangle", "size": [36.998, 41.094], "center": [10.0, 0.0], "color": [0.31574854143276976, 0.4047041915128613, 0.012732729701919854]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [53.78, 62.1], "center": [10.0, -5.921189464667501e-16], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}, {"name": "hexagon", "size": [62.099999999999994, 53.78], "center": [9.999999999999998, 0.0], "color": [0.2257557468045034, 0.08616099325991666, 0.5755987373128172]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_81.png", "instructions": [["translate", [10, 0]], ["rotate", -90], ["rotate", 30]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right. <shapeB_step_0>\n- Rotate the hexagon by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "B"}
3steps_medium_no_46
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left. <shapeB_step_0> - Shift the triangle a little to the left and significantly upward. <shapeB_step_1> - Reduce the size of the triangle, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-10, 0]], ['translate', [-10, 30]], ['scale', 0.5]]
medium
{"instance_id": 46, "shape_A": {"name": "circle", "facecolor": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979], "edgecolor": "black", "center": [-3.552713678800501e-16, -4.440892098500626e-16], "size": [67.98487233325186, 67.98487233325186]}, "shape_B": {"name": "triangle", "facecolor": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128], "edgecolor": "black", "center": [5.921189464667501e-16, 0.0], "size": [50.99089879548055, 40.220157193936984]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [14.483, 60.849999999999994], "center": [-1.2754999999999999, 8.31], "color": [0.0770404484725824, 0.6931990618593454, 0.3216625516112498]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.8274478911329491, 0.7024348173059176, 0.7955570782592551]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [2.533666666666667, -2.212000000000002], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "medium": [{"name": "triangle", "size": [14.483000000000004, 60.851], "center": [-1.2754999999999999, 8.310166666666666], "color": [0.4602388711184705, 0.4378709532106887, 0.5910629290058035]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 12.691169729259538], "center": [4.129820352047164, 0.21561620335133416], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "hard": [{"name": "triangle", "size": [50.991, 40.22], "center": [5.0675, -4.424], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [4.786411339359079, 20.110000000000003], "center": [-0.4215333607230889, 2.746328677074773], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [20.11, 25.496000000000002], "center": [2.212, 2.534], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [67.984, 67.984], "center": [-10.0, -1.1990408665951691e-15], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}, {"name": "circle", "size": [67.984, 67.984], "center": [-20.000000000000007, 30.0], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}, {"name": "circle", "size": [33.992000000000004, 33.992000000000004], "center": [-20.000099999999996, 30.000049999999998], "color": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [50.991, 40.22], "center": [-10.0, -5.921189464667501e-16], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [50.991, 40.22], "center": [-20.000000000000004, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}, {"name": "triangle", "size": [25.495999999999995, 20.110000000000003], "center": [-20.000333333333334, 30.0], "color": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_46.png", "instructions": [["translate", [-10, 0]], ["translate", [-10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left. <shapeB_step_0>\n- Shift the triangle a little to the left and significantly upward. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_medium_no_20
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0> - Shift the triangle slightly upward. <shapeB_step_1> - Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-30, 30]], ['translate', [0, 10]], ['flip', 'vertical']]
medium
{"instance_id": 20, "shape_A": {"name": "hexagon", "facecolor": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.929161743287075, 52.76620190097756]}, "shape_B": {"name": "triangle", "facecolor": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406], "edgecolor": "black", "center": [0.0, 2.3684757858670005e-15], "size": [49.66386023324553, 59.424434075239596]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_20.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_20.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [24.831999999999997, 29.713], "center": [-2.7229999999999976, 2.9034999999999993], "color": [0.47865208582015095, 0.8457662624925489, 0.28225736892179776]}, {"name": "triangle", "size": [33.289, 23.608], "center": [-0.6298333333333339, 1.2699999999999998], "color": [0.3486154422494786, 0.5746782580568939, 0.507949665955694]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}], "medium": [{"name": "triangle", "size": [26.305, 28.778], "center": [-2.3495, 1.2380000000000007], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [65.65, 41.8], "center": [-7.628, 0.4850000000000004], "color": [0.8872615365741244, 0.9032560047133901, 0.6361328200238896]}], "hard": [{"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 35.22215011190051], "center": [0.9397894568194213, -1.8951198161527252], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.42400000000001], "center": [-5.446000000000001, 5.806999999999998], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [41.801, 65.651], "center": [-0.48550000000000004, -7.6285], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [60.93000000000001, 52.766000000000005], "center": [-30.0, 30.0], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}, {"name": "hexagon", "size": [60.93000000000001, 52.76599999999999], "center": [-30.0, 39.99999999999999], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}, {"name": "hexagon", "size": [60.93000000000001, 52.76599999999999], "center": [30.0, 39.99999999999999], "color": [0.8912758945879058, 0.6294706898642659, 0.6901248969090394]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [49.664, 59.424], "center": [-30.0, 30.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [-30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}, {"name": "triangle", "size": [49.664, 59.424], "center": [30.0, 40.0], "color": [0.9032924076579208, 0.05045601059441951, 0.38359963933974406]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_20.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_20.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_20.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_20.png", "instructions": [["translate", [-30, 30]], ["translate", [0, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "A"}
3steps_medium_no_47
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0> - Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Shift the circle a little to the right and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-30, 30]], ['flip', 'horizontal'], ['translate', [10, 30]]]
medium
{"instance_id": 47, "shape_A": {"name": "rectangle", "facecolor": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.07180737029744, 22.22553223484537]}, "shape_B": {"name": "circle", "facecolor": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697], "edgecolor": "black", "center": [-1.2434497875801752e-15, 7.549516567451064e-16], "size": [67.71983609925896, 67.71983609925896]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_47.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_47.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_47.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_47.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_47.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_47.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_47.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [84.217, 90.982], "center": [-0.00045000000000445796, -2.499999999940883e-05], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [1.0658141036401502e-15, 1.865174681370263e-15], "color": [0.9823456326210844, 0.4804233969070565, 0.8436013676946466]}, {"name": "circle", "size": [34.62, 33.86], "center": [4.999999999943938e-05, 2.5000000000330314e-05], "color": [0.79405395987842, 0.041590387808690954, 0.0586241850004382]}, {"name": "circle", "size": [67.72, 67.72], "center": [-20.0, -1.9317880628477722e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}], "medium": [{"name": "circle", "size": [33.86, 34.699], "center": [0.0003750000000005471, 0.00012500000000106314], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [78.24, 71.56], "center": [-1.7763568394002506e-16, 4.440892098500626e-16], "color": [0.04179934930802698, 0.767126608260931, 0.12888824688615663]}, {"name": "circle", "size": [67.72, 67.72], "center": [-20.0, -1.9317880628477722e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [1.0658141036401502e-15, 1.865174681370263e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}], "hard": [{"name": "circle", "size": [67.72, 67.72], "center": [1.0658141036401502e-15, 1.865174681370263e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [81.828, 75.095], "center": [2.6645352591003757e-15, 0.0001750000000003471], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [-20.0, -1.9317880628477722e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [31.694, 44.256], "center": [-4.440892098500626e-16, 5.329070518200751e-16], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.072, 22.226], "center": [-30.0, 30.0], "color": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619]}, {"name": "rectangle", "size": [34.072, 22.226], "center": [-30.0, -30.0], "color": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619]}, {"name": "rectangle", "size": [34.072, 22.226], "center": [-20.0, 0.0], "color": [0.5680786562216632, 0.3748360191237824, 0.06938923117303619]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.72, 67.72], "center": [-29.999999999999993, 29.99999999999999], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [-29.999999999999993, -29.99999999999999], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}, {"name": "circle", "size": [67.72, 67.72], "center": [-20.0, -1.9317880628477722e-15], "color": [0.0017288995057325174, 0.9851287195766044, 0.01257847998038697]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_47.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_47.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_47.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_47.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_47.png", "instructions": [["translate", [-30, 30]], ["flip", "horizontal"], ["translate", [10, 30]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Shift the circle a little to the right and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "C"}
3steps_medium_no_45
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Rotate the pentagon by 90 degrees clockwise around its center. <shapeB_step_0> - Shift the pentagon a little to the left and significantly downward. <shapeB_step_1> - Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', -90], ['translate', [-10, -30]], ['flip', 'horizontal']]
medium
{"instance_id": 45, "shape_A": {"name": "triangle", "facecolor": [0.12170375259878474, 0.756606356871411, 0.12035832509916844], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [22.621642261511106, 62.24260052746702]}, "shape_B": {"name": "pentagon", "facecolor": [0.7997912131764753, 0.35985847918673564, 0.25528453669499795], "edgecolor": "black", "center": [7.105427357601002e-16, 1.4210854715202005e-15], "size": [61.83703668419874, 65.01930813227094]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_45.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_45.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_45.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_45.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_45.png"}, "answer_choices_info": {"medium": [{"name": "pentagon", "size": [32.51, 30.918999999999997], "center": [0.0, 1.6320999999999999], "color": [0.7997912131764753, 0.35985847918673564, 0.25528453669499795]}, {"name": "pentagon", "size": [85.428, 75.27199999999999], "center": [1.131200000000001, 3.4530000000000016], "color": [0.7997912131764753, 0.35985847918673564, 0.25528453669499795]}, {"name": "pentagon", "size": [65.02, 61.837], "center": [-9.999999999999998, 30.000200000000007], "color": [0.7997912131764753, 0.35985847918673564, 0.25528453669499795]}, {"name": "pentagon", "size": [65.02, 61.837], "center": [0.0, 3.264300000000001], "color": [0.45631600665485905, 0.09650341174015908, 0.856214384305291]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [62.242000000000004, 22.622], "center": [0.0, 3.7007434154171886e-16], "color": [0.12170375259878474, 0.756606356871411, 0.12035832509916844]}, {"name": "triangle", "size": [62.242000000000004, 22.622000000000003], "center": [-10.000000000000002, -30.0], "color": [0.12170375259878474, 0.756606356871411, 0.12035832509916844]}, {"name": "triangle", "size": [62.242000000000004, 22.622000000000003], "center": [-10.000000000000002, 30.0], "color": [0.12170375259878474, 0.756606356871411, 0.12035832509916844]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [65.02, 61.837], "center": [0.0, -0.0002000000000005997], "color": [0.7997912131764753, 0.35985847918673564, 0.25528453669499795]}, {"name": "pentagon", "size": [65.02, 61.837], "center": [-9.999999999999998, -30.000200000000007], "color": [0.7997912131764753, 0.35985847918673564, 0.25528453669499795]}, {"name": "pentagon", "size": [65.02, 61.837], "center": [-9.999999999999998, 30.000200000000007], "color": [0.7997912131764753, 0.35985847918673564, 0.25528453669499795]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_45.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_45.png", "instructions": [["rotate", -90], ["translate", [-10, -30]], ["flip", "horizontal"]], "correct_answer": {"medium": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the pentagon a little to the left and significantly downward. <shapeB_step_1>\n- Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"medium": "C"}
3steps_medium_no_26
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> - Shift the rectangle a little to the right and slightly upward. <shapeB_step_1> - Shift the rectangle a little to the left and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['scale', 0.5], ['translate', [10, 10]], ['translate', [-10, 30]]]
medium
{"instance_id": 26, "shape_A": {"name": "ellipse", "facecolor": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152], "edgecolor": "black", "center": [6.661338147750939e-16, -4.4408920985006264e-17], "size": [30.959257738577843, 23.389893584814573]}, "shape_B": {"name": "rectangle", "facecolor": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.139825876094516, 22.615399797592268]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_26.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_26.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_26.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_26.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_26.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_26.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_26.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.19460813950528066, 0.08180890142990982, 0.5718196169113584]}, {"name": "rectangle", "size": [15.57, 11.308000000000007], "center": [0.0, 40.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [35.156, 38.275999999999996], "center": [2.220446049250313e-16, 0.0], "color": [0.025371938871328825, 0.7374441789509951, 0.9780956111069691]}], "medium": [{"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [35.156, 38.276], "center": [-2.220446049250313e-16, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308000000000007], "center": [0.0, 40.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.6775644574745741, 0.559258051605546, 0.2949167702341773]}], "hard": [{"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [45.964, 37.494], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308000000000007], "center": [0.0, 40.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.48, 11.694], "center": [-1.9984014443252818e-16, 2.2204460492503132e-17], "color": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152]}, {"name": "ellipse", "size": [15.479999999999999, 11.693999999999999], "center": [9.999999999999998, 10.000000000000004], "color": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152]}, {"name": "ellipse", "size": [15.48, 11.694000000000003], "center": [-1.9984014443252818e-16, 40.00000000000001], "color": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [10.0, 10.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308000000000007], "center": [0.0, 40.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_26.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_26.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_26.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_26.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_26.png", "instructions": [["scale", 0.5], ["translate", [10, 10]], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Shift the rectangle a little to the right and slightly upward. <shapeB_step_1>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "C", "hard": "C"}
3steps_medium_no_34
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0> - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [30, 10]], ['translate', [30, 10]], ['translate', [30, 10]]]
medium
{"instance_id": 34, "shape_A": {"name": "circle", "facecolor": [0.749943679211488, 0.6238256910981901, 0.5447337411321853], "edgecolor": "black", "center": [-1.7763568394002506e-16, 2.19824158875781e-15], "size": [69.39616809596447, 69.39616809596447]}, "shape_B": {"name": "triangle", "facecolor": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922], "edgecolor": "black", "center": [-5.921189464667501e-16, -2.3684757858670005e-15], "size": [51.032587369656255, 29.2855369499692]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [32.162, 46.358000000000004], "center": [-1.2270000000000003, -5.932333333333332], "color": [0.12633028257084666, 0.11837272816479993, 0.57693374741287]}, {"name": "triangle", "size": [7.210999999999999, 28.113999999999997], "center": [-0.42283333333333334, 2.262], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.3920121777283454, 0.7621718691834686, 0.9166653622704007]}], "medium": [{"name": "triangle", "size": [16.806509562627372, 29.286], "center": [-1.8025420520457753, -1.0922758269321216], "color": [0.18655517130882948, 0.6525227196358833, 0.22175522369833667]}, {"name": "triangle", "size": [56.227999999999994, 14.424], "center": [-4.524, -0.8456666666666663], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}], "hard": [{"name": "triangle", "size": [16.805606372347306, 29.285999999999994], "center": [1.802411086943741, 1.0923500676033153], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [1.903500000000001, -3.1410000000000005], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [35.127, 8.461], "center": [3.2485, 0.3954999999999999], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [69.39599999999999, 69.396], "center": [30.0, 10.0], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}, {"name": "circle", "size": [69.39599999999999, 69.396], "center": [60.000000000000014, 19.999999999999996], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}, {"name": "circle", "size": [69.39599999999999, 69.39599999999999], "center": [90.00000000000003, 30.0], "color": [0.749943679211488, 0.6238256910981901, 0.5447337411321853]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [51.033, 29.285999999999998], "center": [30.0, 10.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.286], "center": [60.0, 19.999999999999996], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}, {"name": "triangle", "size": [51.033, 29.285999999999998], "center": [90.0, 30.0], "color": [0.7768802527683218, 0.5515879122993337, 0.11450110521584922]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_34.png", "instructions": [["translate", [30, 10]], ["translate", [30, 10]], ["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "B"}
3steps_medium_no_89
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, making it smaller. <shapeB_step_0> - Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['scale', 0.5], ['translate', [30, 10]], ['rotate', -30]]
medium
{"instance_id": 89, "shape_A": {"name": "square", "facecolor": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.68810527851148, 34.68810527851148]}, "shape_B": {"name": "rectangle", "facecolor": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.79145902423523, 20.92473276522844]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_89.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_89.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_89.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.924000000000003, 31.792], "center": [1.7763568394002505e-15, 0.0], "color": [0.7155420908178509, 0.6770152992067706, 0.700013872178118]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [31.792, 20.924000000000003], "center": [0.0, -1.7763568394002505e-15], "color": [0.3767828654216594, 0.18420586617057277, 0.340512032632328]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "medium": [{"name": "rectangle", "size": [31.792, 20.924000000000003], "center": [0.0, 1.7763568394002505e-15], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.9740349389534685, 0.42790819681582193, 0.42072017275913365]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [20.924, 31.792], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "hard": [{"name": "rectangle", "size": [38.886, 36.016], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [31.792, 20.924], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [17.344, 17.344], "center": [0.0, 0.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}, {"name": "square", "size": [17.343999999999998, 17.344], "center": [30.0, 10.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}, {"name": "square", "size": [23.691999999999997, 23.692], "center": [30.0, 10.0], "color": [0.17683345753828084, 0.11922347068177608, 0.6844970378334665]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [15.896, 10.462], "center": [0.0, 0.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [15.896, 10.462], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}, {"name": "rectangle", "size": [18.998, 17.008000000000003], "center": [30.0, 10.0], "color": [0.5903402878052959, 0.8998471230724469, 0.3824497357318074]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_89.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_89.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_89.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_89.png", "instructions": [["scale", 0.5], ["translate", [30, 10]], ["rotate", -30]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Rotate the rectangle by 30 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "D"}
3steps_medium_no_87
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0> - Shift the circle a little to the left and slightly downward. <shapeB_step_1> - Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [-30, -30]], ['translate', [-10, -10]], ['translate', [-30, -10]]]
medium
{"instance_id": 87, "shape_A": {"name": "hexagon", "facecolor": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.91382467317439, 57.94907203134699]}, "shape_B": {"name": "circle", "facecolor": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694], "edgecolor": "black", "center": [2.7533531010703883e-15, -2.4202861936828413e-15], "size": [64.04244378456774, 64.04244378456774]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_87.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_87.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_87.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_87.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_87.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_87.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_87.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.205806663996015, 0.7401885652490465, 0.1406495208198204]}, {"name": "circle", "size": [64.042, 64.042], "center": [-69.99999999999999, -49.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.108624468950438e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [38.034, 68.912], "center": [1.2434497875801752e-15, 1.7763568394002506e-16], "color": [0.9831039299064597, 0.40179533827613945, 0.8928364533919749]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-69.99999999999999, -49.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 28.65294496254395], "center": [5.4178883601707636e-15, -4.4408920985006264e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [39.052, 40.84], "center": [-6.217248937900876e-16, -4.9999999998728836e-05], "color": [0.2767279122909233, 0.5728484135132019, 0.6369762392721068]}], "hard": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [76.136, 82.458], "center": [-2.500000000091873e-05, -2.4999999999675283e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022000000000006, 32.022], "center": [3.552713678800501e-16, 2.4424906541753446e-16], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-69.99999999999999, -49.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.914, 57.95], "center": [-30.0, -30.0], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}, {"name": "hexagon", "size": [66.91399999999999, 57.949999999999996], "center": [-40.0, -39.99999999999999], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}, {"name": "hexagon", "size": [66.91399999999999, 57.949999999999996], "center": [-70.0, -50.0], "color": [0.9244977221536306, 0.7214860176451653, 0.37228772746075467]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.042, 64.042], "center": [-30.000000000000007, -29.999999999999993], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [64.042, 64.042], "center": [-69.99999999999999, -49.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_87.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_87.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_87.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_87.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_87.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]], ["translate", [-30, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Shift the circle to the left by a significant amount and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "D"}
3steps_medium_no_82
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Shift the circle a little to the left and significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['rotate', 30], ['scale', 0.5], ['translate', [-10, -30]]]
medium
{"instance_id": 82, "shape_A": {"name": "triangle", "facecolor": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083], "edgecolor": "black", "center": [0.0, 0.0], "size": [37.85026761977163, 58.31016115377872]}, "shape_B": {"name": "circle", "facecolor": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391], "edgecolor": "black", "center": [-2.6645352591003756e-16, -4.152234112098085e-15], "size": [63.84367302609029, 63.84367302609029]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_82.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_82.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_82.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [88.926, 91.723], "center": [-2.5000000003316813e-05, 7.500000000204565e-05], "color": [0.3389664155101745, 0.6885595634581967, 0.7673925827649067]}, {"name": "circle", "size": [31.878, 31.878], "center": [-9.999999999999998, -29.999999999999993], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [63.756, 63.756], "center": [4.440892098500626e-16, -4.4408920985006264e-17], "color": [0.14316239479807358, 0.13525561260659602, 0.6083100457660281]}, {"name": "circle", "size": [31.878, 31.878], "center": [7.499999999986962e-05, -2.4424906541753446e-16], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}], "medium": [{"name": "circle", "size": [31.878, 31.878], "center": [7.499999999986962e-05, -2.4424906541753446e-16], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [31.878, 31.878], "center": [-9.999999999999998, -29.999999999999993], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [63.756, 63.756], "center": [4.440892098500626e-16, -4.4408920985006264e-17], "color": [0.043844746940007506, 0.28582998176788244, 0.5568368506628595]}, {"name": "circle", "size": [47.186, 55.59], "center": [6.217248937900876e-16, -2.0983215165415457e-15], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}], "hard": [{"name": "circle", "size": [31.878, 31.878], "center": [7.499999999986962e-05, -2.4424906541753446e-16], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [31.878, 31.878], "center": [-9.999999999999998, -29.999999999999993], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [63.756, 63.756], "center": [4.440892098500626e-16, -4.4408920985006264e-17], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [40.498, 41.36], "center": [-3.9968028886505636e-16, -2.148281552649678e-15], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [57.826, 36.414], "center": [0.0, 0.0], "color": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083]}, {"name": "triangle", "size": [28.912, 18.207], "center": [5.921189464667501e-16, 0.0], "color": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083]}, {"name": "triangle", "size": [28.912, 18.207000000000004], "center": [-10.0, -30.0], "color": [0.7926721683585463, 0.8039064957759225, 0.9978021711720083]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [63.756, 63.756], "center": [4.440892098500626e-16, -4.4408920985006264e-17], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [31.878, 31.878], "center": [7.499999999986962e-05, -2.4424906541753446e-16], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}, {"name": "circle", "size": [31.878, 31.878], "center": [-9.999999999999998, -29.999999999999993], "color": [0.0799282598778086, 0.7507150252425926, 0.2892754554033391]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_82.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_82.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_82.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_82.png", "instructions": [["rotate", 30], ["scale", 0.5], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "B"}
3steps_medium_no_77
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0> - Shift the circle a little to the left and slightly downward. <shapeB_step_1> - Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', -30], ['translate', [-10, -10]], ['flip', 'vertical']]
medium
{"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.4014485780221052, 0.310955357635772, 0.7439741786648469], "edgecolor": "black", "center": [-7.993605777301127e-16, -8.326672684688674e-17], "size": [33.49433679884838, 20.525172859231922]}, "shape_B": {"name": "circle", "facecolor": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685], "edgecolor": "black", "center": [3.0198066269804257e-15, -1.84297022087776e-15], "size": [68.7229505557743, 68.7229505557743]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_77.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.361000000000004], "center": [-0.0002750000000009578, 0.0004249999999998089], "color": [0.3547785407583631, 0.7152890012922809, 0.9777692910377371]}, {"name": "circle", "size": [80.316, 77.958], "center": [1.4210854715202005e-15, -5.773159728050814e-16], "color": [0.8841060916134182, 0.15558808118521872, 0.9876948218040671]}], "medium": [{"name": "circle", "size": [121.88, 137.198], "center": [4.7961634663806766e-15, 1.7763568394002506e-16], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.789342015931861, 0.3844517737810672, 0.6688896698014315]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.36], "center": [-0.00047499999999986995, 1.4432899320127036e-16], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}], "hard": [{"name": "circle", "size": [103.713, 122.969], "center": [-0.00049999999999919, 0.0005250000000003752], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [34.361000000000004, 34.361], "center": [-0.00042500000000131875, -0.00037499999999814906], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [30.758, 24.412], "center": [-1.7763568394002506e-16, -1.3322676295501878e-16], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}, {"name": "ellipse", "size": [30.758000000000003, 24.412], "center": [-9.999999999999998, -10.0], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}, {"name": "ellipse", "size": [30.758000000000003, 24.412], "center": [9.999999999999998, -10.0], "color": [0.4014485780221052, 0.310955357635772, 0.7439741786648469]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.628, 68.628], "center": [-2.6645352591003756e-16, 2.3980817331903383e-15], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [-10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}, {"name": "circle", "size": [68.628, 68.628], "center": [10.000000000000002, -10.0], "color": [0.8165586747285463, 0.9929633069317221, 0.18174483694961685]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_77.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_77.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_77.png", "instructions": [["rotate", -30], ["translate", [-10, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "C"}
3steps_medium_no_21
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0> - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1> - Shift the circle significantly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [30, -10]], ['translate', [30, -10]], ['translate', [0, -30]]]
medium
{"instance_id": 21, "shape_A": {"name": "hexagon", "facecolor": [0.037865032018345346, 0.4832681320971439, 0.3685785987463919], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.10070609215248, 57.24489068389285]}, "shape_B": {"name": "circle", "facecolor": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256], "edgecolor": "black", "center": [-7.105427357601002e-16, -6.439293542825908e-16], "size": [67.30185469473102, 67.30185469473102]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_21.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [50.45, 55.294], "center": [-1.2434497875801752e-15, -3.9968028886505636e-16], "color": [0.08251016681508216, 0.505596109307276, 0.8514452560526342]}, {"name": "circle", "size": [67.30199999999999, 67.302], "center": [2.4868995751603505e-15, 1.8207657603852566e-15], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [67.30199999999999, 67.30199999999999], "center": [60.0, -49.99999999999999], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [43.664, 41.263999999999996], "center": [8.881784197001252e-16, -3.9968028886505636e-16], "color": [0.2778487969342691, 0.13253876280633925, 0.2809719314814888]}], "medium": [{"name": "circle", "size": [74.364, 79.73], "center": [-1.0658141036401502e-15, -3.0198066269804257e-15], "color": [0.725999091845562, 0.16728326090318513, 0.5777573938247643]}, {"name": "circle", "size": [67.30199999999999, 67.302], "center": [2.4868995751603505e-15, 1.8207657603852566e-15], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [83.744, 94.052], "center": [4.440892098500626e-16, 1.7763568394002506e-16], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [67.30199999999999, 67.30199999999999], "center": [60.0, -49.99999999999999], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}], "hard": [{"name": "circle", "size": [33.65, 33.65], "center": [1.7763568394002506e-16, 1.2434497875801752e-15], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [67.30199999999999, 67.302], "center": [2.4868995751603505e-15, 1.8207657603852566e-15], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [67.30199999999999, 67.30199999999999], "center": [60.0, -49.99999999999999], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [79.948, 101.476], "center": [-2.6645352591003756e-16, 7.499999999769358e-05], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.1, 57.244], "center": [30.0, -10.0], "color": [0.037865032018345346, 0.4832681320971439, 0.3685785987463919]}, {"name": "hexagon", "size": [66.1, 57.244], "center": [60.0, -20.0], "color": [0.037865032018345346, 0.4832681320971439, 0.3685785987463919]}, {"name": "hexagon", "size": [66.1, 57.244], "center": [60.0, -50.0], "color": [0.037865032018345346, 0.4832681320971439, 0.3685785987463919]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.302, 67.302], "center": [30.0, -10.000000000000002], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [67.30199999999999, 67.302], "center": [60.0, -20.0], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}, {"name": "circle", "size": [67.30199999999999, 67.30199999999999], "center": [60.0, -49.99999999999999], "color": [0.6232484815999669, 0.45439435921173477, 0.42412468457259256]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_21.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_21.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_21.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_21.png", "instructions": [["translate", [30, -10]], ["translate", [30, -10]], ["translate", [0, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Shift the circle significantly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "C"}
3steps_medium_no_31
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0> - Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the circle to the right by a significant amount. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [30, -10]], ['rotate', 90], ['translate', [30, 0]]]
medium
{"instance_id": 31, "shape_A": {"name": "pentagon", "facecolor": [0.2588346176103514, 0.8524750785554671, 0.296363686831703], "edgecolor": "black", "center": [3.552713678800501e-16, 0.0], "size": [55.47324738063669, 58.32802407656389]}, "shape_B": {"name": "circle", "facecolor": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887], "edgecolor": "black", "center": [-5.329070518200751e-16, 5.195843755245732e-15], "size": [62.68514652193717, 62.68514652193717]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_31.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_31.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [34.366, 32.354], "center": [1.3766765505351941e-15, 8.659739592076221e-16], "color": [0.5508778036099597, 0.8168470296426481, 0.22063903752165304]}, {"name": "circle", "size": [11.16, 145.488], "center": [-1.9984014443252818e-16, -1.7763568394002505e-15], "color": [0.2687935024791853, 0.5816637995079208, 0.8077329610155621]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "medium": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [31.344, 31.343999999999998], "center": [1.1546319456101628e-15, -4.99999999985512e-05], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [35.96411561947614, 62.68600000000001], "center": [1.2434497875801752e-15, -8.881784197001253e-17], "color": [0.5423701683888696, 0.8182553599654876, 0.8527202137370091]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "hard": [{"name": "circle", "size": [86.15199999999999, 81.144], "center": [-2.1316282072803005e-15, 5.329070518200751e-16], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [-1.2434497875801752e-15, 3.3750779948604757e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [76.836, 69.11600000000001], "center": [8.881784197001252e-16, -4.440892098500626e-15], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [55.473, 58.328], "center": [30.0002, -10.0], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}, {"name": "pentagon", "size": [58.328, 55.473], "center": [30.0, -9.9998], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}, {"name": "pentagon", "size": [58.328, 55.473], "center": [60.0, -9.9998], "color": [0.2588346176103514, 0.8524750785554671, 0.296363686831703]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [30.000000000000007, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [30.0, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}, {"name": "circle", "size": [62.68600000000001, 62.68600000000001], "center": [59.999999999999986, -10.0], "color": [0.4950259006373158, 0.5324698527921417, 0.5134876964355887]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_31.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_31.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_31.png", "instructions": [["translate", [30, -10]], ["rotate", 90], ["translate", [30, 0]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle to the right by a significant amount. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "D"}
3steps_medium_no_103
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-30, 30]], ['rotate', -60], ['rotate', -60]]
medium
{"instance_id": 103, "shape_A": {"name": "pentagon", "facecolor": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297], "edgecolor": "black", "center": [-3.552713678800501e-16, -2.1316282072803005e-15], "size": [59.73013480277361, 62.80398039377587]}, "shape_B": {"name": "triangle", "facecolor": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641], "edgecolor": "black", "center": [-1.1842378929335002e-15, -2.3684757858670005e-15], "size": [50.425179620050116, 45.62148758506976]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_103.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_103.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_103.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_103.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_103.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_103.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_103.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [34.900000000000006, 66.48], "center": [-1.0509999999999973, -3.647], "color": [0.6014074837104642, 0.4189502052888402, 0.35433666022814225]}, {"name": "triangle", "size": [50.425000000000004, 45.620999999999995], "center": [7.783500000000004, 6.187499999999999], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [1.4670000000000012, -0.29749999999999827], "color": [0.030571182973645472, 0.0498392996760022, 0.2870804668179434]}], "medium": [{"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [34.900000000000006, 66.48], "center": [-1.0509999999999973, -3.647], "color": [0.8789811295851514, 0.4055175586189552, 0.6945228262186488]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [1.4670000000000012, -0.29749999999999827], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [50.425000000000004, 45.620999999999995], "center": [7.783500000000004, 6.187499999999999], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}], "hard": [{"name": "triangle", "size": [34.900000000000006, 66.48], "center": [-1.0509999999999973, -3.647], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [50.425000000000004, 45.620999999999995], "center": [7.783500000000004, 6.187499999999999], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [1.4670000000000012, -0.29749999999999827], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.730000000000004, 62.804], "center": [-30.0, 30.0], "color": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297]}, {"name": "pentagon", "size": [62.458999999999996, 61.431000000000004], "center": [-30.0, 30.0002], "color": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297]}, {"name": "pentagon", "size": [62.458999999999996, 61.431000000000004], "center": [-30.0, 30.0], "color": [0.46108798295271736, 0.1718510827561356, 0.7514961977145297]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [50.425000000000004, 45.620999999999995], "center": [-30.0, 29.999999999999996], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [34.9, 66.48], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}, {"name": "triangle", "size": [64.72200000000001, 39.93300000000001], "center": [-30.0, 30.0], "color": [0.3003791619325823, 0.5751047726904576, 0.9767315981376641]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_103.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_103.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_103.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_103.png", "instructions": [["translate", [-30, 30]], ["rotate", -60], ["rotate", -60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "D"}
3steps_medium_no_108
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the right and significantly upward. <shapeB_step_0> - Shift the triangle slightly downward. <shapeB_step_1> - Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, 30]], ['translate', [0, -10]], ['flip', 'vertical']]
medium
{"instance_id": 108, "shape_A": {"name": "hexagon", "facecolor": [0.8863244706725935, 0.9666257530215157, 0.3952697942021929], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.89705871555262, 56.20250147855887]}, "shape_B": {"name": "triangle", "facecolor": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426], "edgecolor": "black", "center": [3.552713678800501e-15, 0.0], "size": [22.001008641710374, 60.256190234073955]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_108.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_108.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_108.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_108.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_108.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_108.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_108.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [11.0, 30.128999999999998], "center": [-1.588, -0.944833333333334], "color": [0.9613007408018883, 0.39294487206519957, 0.6529360150025518]}, {"name": "triangle", "size": [22.000999999999998, 60.257000000000005], "center": [-9.999666666666666, 20.0], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}, {"name": "triangle", "size": [52.92, 35.677], "center": [1.9076666666666675, -3.6715000000000004], "color": [0.011849457162752652, 0.7104840019919428, 0.42569652310324935]}, {"name": "triangle", "size": [22.000999999999998, 60.257000000000005], "center": [-3.1758333333333333, -1.8895000000000017], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}], "medium": [{"name": "triangle", "size": [22.000999999999998, 32.63488861171063], "center": [2.264110533396862, 1.176301468733359], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}, {"name": "triangle", "size": [22.000999999999998, 60.257000000000005], "center": [-9.999666666666666, 20.0], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}, {"name": "triangle", "size": [22.000999999999998, 60.257000000000005], "center": [-3.1758333333333333, -1.8895000000000017], "color": [0.6282786149736205, 0.9942262890748219, 0.5586194704422011]}, {"name": "triangle", "size": [35.677, 52.92099999999999], "center": [-3.671500000000003, 1.9075000000000013], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}], "hard": [{"name": "triangle", "size": [31.404, 51.447], "center": [5.194000000000003, -5.180499999999999], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}, {"name": "triangle", "size": [22.000999999999994, 36.04271580053496], "center": [3.6388101515730473, -3.629352327728951], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}, {"name": "triangle", "size": [22.000999999999998, 60.257000000000005], "center": [-9.999666666666666, 20.0], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}, {"name": "triangle", "size": [22.000999999999998, 60.257000000000005], "center": [-3.1758333333333333, -1.8895000000000017], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [64.898, 56.202], "center": [10.0, 30.0], "color": [0.8863244706725935, 0.9666257530215157, 0.3952697942021929]}, {"name": "hexagon", "size": [64.898, 56.202], "center": [10.0, 20.0], "color": [0.8863244706725935, 0.9666257530215157, 0.3952697942021929]}, {"name": "hexagon", "size": [64.898, 56.202], "center": [-10.0, 20.0], "color": [0.8863244706725935, 0.9666257530215157, 0.3952697942021929]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [22.000999999999998, 60.257], "center": [9.999666666666666, 30.0], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}, {"name": "triangle", "size": [22.000999999999998, 60.257000000000005], "center": [9.999666666666666, 20.0], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}, {"name": "triangle", "size": [22.000999999999998, 60.257000000000005], "center": [-9.999666666666666, 20.0], "color": [0.7132392952571474, 0.26644664223886794, 0.39017349447098426]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_108.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_108.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_108.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_108.png", "instructions": [["translate", [10, 30]], ["translate", [0, -10]], ["flip", "vertical"]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the right and significantly upward. <shapeB_step_0>\n- Shift the triangle slightly downward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_medium_no_115
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0> - Shift the circle to the left by a significant amount. <shapeB_step_1> - Shift the circle a little to the right and slightly downward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['rotate', -60], ['translate', [-30, 0]], ['translate', [10, -10]]]
medium
{"instance_id": 115, "shape_A": {"name": "ellipse", "facecolor": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422], "edgecolor": "black", "center": [2.220446049250313e-16, 2.0539125955565397e-16], "size": [31.18333413840225, 20.769316379909124]}, "shape_B": {"name": "circle", "facecolor": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [68.17299444067872, 68.17299444067872]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_115.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [34.948, 34.604], "center": [-7.500000000089102e-05, 7.771561172376096e-16], "color": [0.2903541313066077, 0.12842214938979246, 0.7680032783485744]}, {"name": "circle", "size": [32.956, 130.026], "center": [-2.6645352591003756e-16, 7.105427357601002e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.15073730815887376, 0.7732720983432548, 0.6192458203905253]}, {"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "medium": [{"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [157.084, 140.354], "center": [1.2434497875801752e-15, -3.552713678800501e-16], "color": [0.7421894645779374, 0.31827558221604635, 0.818792201644946]}, {"name": "circle", "size": [37.882, 35.45], "center": [-3.552713678800501e-16, -1.554312234475219e-16], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "hard": [{"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [52.19922737676548, 68.08], "center": [0.0, 1.8207657603852566e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [40.478790678459426, 68.08], "center": [7.993605777301127e-16, -4.440892098500626e-16], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [23.744, 28.892], "center": [-2.2204460492503132e-17, 0.0], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}, {"name": "ellipse", "size": [23.744, 28.892], "center": [-30.0, 0.0], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}, {"name": "ellipse", "size": [23.744, 28.892000000000003], "center": [-20.000000000000004, -9.999999999999998], "color": [0.9011782336144536, 0.3616974109294273, 0.8304530952873422]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [68.08, 68.08], "center": [-8.437694987151189e-16, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08000000000001, 68.08], "center": [-30.0, 1.1546319456101628e-15], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}, {"name": "circle", "size": [68.08, 68.08], "center": [-20.0, -10.000000000000002], "color": [0.7367846124040385, 0.1728725104238804, 0.20027501880130416]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_115.png", "instructions": [["rotate", -60], ["translate", [-30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the left by a significant amount. <shapeB_step_1>\n- Shift the circle a little to the right and slightly downward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A", "hard": "A"}
3steps_medium_no_92
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle significantly downward. <shapeB_step_0> - Shift the triangle slightly downward. <shapeB_step_1> - Shift the triangle a little to the right and slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [0, -30]], ['translate', [0, -10]], ['translate', [10, 10]]]
medium
{"instance_id": 92, "shape_A": {"name": "rectangle", "facecolor": [0.6389386519459306, 0.019812963459045818, 0.13610150525261633], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.42064791105295, 23.45189776614389]}, "shape_B": {"name": "triangle", "facecolor": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127], "edgecolor": "black", "center": [-8.881784197001252e-16, 0.0], "size": [43.362300672783135, 64.64905174545552]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_92.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_92.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_92.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_92.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_92.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_92.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_92.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [22.052000000000003, 30.194999999999997], "center": [3.5919999999999987, -3.165166666666668], "color": [0.9446999686133826, 0.6299810570480012, 0.8546760038770058]}, {"name": "triangle", "size": [43.362, 64.649], "center": [10.0, -29.999666666666666], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [60.391, 44.103], "center": [6.330500000000003, 7.183500000000003], "color": [0.6613504584117136, 0.9268290724841781, 0.6549141373264239]}, {"name": "triangle", "size": [43.361999999999995, 64.649], "center": [-2.6940000000000004, -6.742166666666667], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}], "medium": [{"name": "triangle", "size": [43.361999999999995, 64.649], "center": [-2.6940000000000004, -6.742166666666667], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [43.362, 64.649], "center": [10.0, -29.999666666666666], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [43.36200000000001, 52.30581341376728], "center": [-1.521320224395307, -0.21229338533361522], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [32.325, 21.682000000000002], "center": [-3.371166666666666, 1.3470000000000002], "color": [0.6969429810899538, 0.44683658500966816, 0.9146783257894519]}], "hard": [{"name": "triangle", "size": [26.026, 31.393], "center": [-0.9130000000000003, 0.12750000000000009], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [43.361999999999995, 32.80507881441563], "center": [4.927131188952511, 4.391211855843719], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [43.362, 64.649], "center": [10.0, -29.999666666666666], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [43.361999999999995, 64.649], "center": [-2.6940000000000004, -6.742166666666667], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.42, 23.451999999999998], "center": [0.0, -30.0], "color": [0.6389386519459306, 0.019812963459045818, 0.13610150525261633]}, {"name": "rectangle", "size": [34.42, 23.451999999999998], "center": [0.0, -40.0], "color": [0.6389386519459306, 0.019812963459045818, 0.13610150525261633]}, {"name": "rectangle", "size": [34.42, 23.451999999999998], "center": [10.0, -30.0], "color": [0.6389386519459306, 0.019812963459045818, 0.13610150525261633]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [43.361999999999995, 64.649], "center": [5.921189464667501e-16, -29.999666666666666], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [43.361999999999995, 64.64899999999999], "center": [5.921189464667501e-16, -39.99966666666667], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}, {"name": "triangle", "size": [43.362, 64.649], "center": [10.0, -29.999666666666666], "color": [0.2616792305223372, 0.1727610819391796, 0.38489471116072127]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_92.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_92.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_92.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_92.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_92.png", "instructions": [["translate", [0, -30]], ["translate", [0, -10]], ["translate", [10, 10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle significantly downward. <shapeB_step_0>\n- Shift the triangle slightly downward. <shapeB_step_1>\n- Shift the triangle a little to the right and slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B", "hard": "C"}
3steps_medium_no_71
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it smaller. <shapeB_step_0> - Shift the triangle significantly upward. <shapeB_step_1> - Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['scale', 0.5], ['translate', [0, 30]], ['flip', 'horizontal']]
medium
{"instance_id": 71, "shape_A": {"name": "rectangle", "facecolor": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.291631774911167, 22.270540084960174]}, "shape_B": {"name": "triangle", "facecolor": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637], "edgecolor": "black", "center": [0.0, 0.0], "size": [50.38733694237867, 51.27639695705702]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_71.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [25.193, 25.638], "center": [0.0, -30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.372999999999998, 60.518], "center": [3.472833333333334, -8.856], "color": [0.6008753775090205, 0.18221982141676552, 0.9363390880631995]}, {"name": "triangle", "size": [25.193, 25.637999999999998], "center": [-1.1715, -1.8150000000000002], "color": [0.5129798537078072, 0.5060275981943897, 0.8896244404843641]}, {"name": "triangle", "size": [61.900999999999996, 28.294999999999998], "center": [-7.5315, 2.569166666666666], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}], "medium": [{"name": "triangle", "size": [60.518, 25.374000000000002], "center": [8.855666666666666, 3.4730000000000003], "color": [0.9335153636528944, 0.5924898669799579, 0.39749049088992416]}, {"name": "triangle", "size": [25.193, 25.638], "center": [0.0, -30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.193, 25.637999999999998], "center": [-1.1715, -1.8150000000000002], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [50.387, 51.277], "center": [-2.3431666666666664, -3.6295], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}], "hard": [{"name": "triangle", "size": [25.193, 25.637999999999998], "center": [-1.1715, -1.8150000000000002], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.193, 25.638], "center": [0.0, -30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [50.387, 51.277], "center": [-2.3431666666666664, -3.6295], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.372999999999998, 60.519], "center": [3.4728333333333326, -8.856166666666667], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.646, 11.136], "center": [0.0, 0.0], "color": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624]}, {"name": "rectangle", "size": [15.646, 11.136], "center": [0.0, 29.999999999999996], "color": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624]}, {"name": "rectangle", "size": [15.646, 11.136], "center": [0.0, -29.999999999999996], "color": [0.6685933865999716, 0.17031118036261084, 0.8416981499364624]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [25.193, 25.637999999999998], "center": [0.0, 5.921189464667501e-16], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.193, 25.638], "center": [0.0, 30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}, {"name": "triangle", "size": [25.193, 25.638], "center": [0.0, -30.0], "color": [0.13994310582282132, 0.8592173405932472, 0.10140315000772637]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_71.png", "instructions": [["scale", 0.5], ["translate", [0, 30]], ["flip", "horizontal"]], "correct_answer": {"easy": "A", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Shift the triangle significantly upward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B", "hard": "B"}
3steps_medium_no_111
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon a little to the right and significantly upward. <shapeB_step_0> - Reduce the size of the pentagon, making it smaller. <shapeB_step_1> - Rotate the pentagon by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
B
[['translate', [10, 30]], ['scale', 0.5], ['rotate', -60]]
medium
{"instance_id": 111, "shape_A": {"name": "triangle", "facecolor": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064], "edgecolor": "black", "center": [0.0, 1.0362081563168128e-15], "size": [34.880908315745884, 62.491416773673286]}, "shape_B": {"name": "pentagon", "facecolor": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [60.11513625476638, 63.20879487682315]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_111.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_111.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_111.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_111.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_111.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_111.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [30.058, 31.604], "center": [-1.5866000000000002, 0.0], "color": [0.7732589289955211, 0.03712621652831083, 0.6433149869632053]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [76.452, 79.23599999999999], "center": [-2.186999999999999, -1.0927999999999998], "color": [0.9160079617964271, 0.023756987733296486, 0.7213021149272848]}, {"name": "pentagon", "size": [60.115, 63.208], "center": [-3.173300000000001, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}], "medium": [{"name": "pentagon", "size": [41.766999999999996, 38.455], "center": [1.4164999999999992, 0.13629999999999995], "color": [0.8658920754168428, 0.8977155131043911, 0.12592334214196022]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [30.058, 31.604], "center": [-1.5866000000000002, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [60.115, 63.208], "center": [-3.173300000000001, 0.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [34.879999999999995, 62.492], "center": [10.0, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}, {"name": "triangle", "size": [17.44, 31.246000000000002], "center": [9.999666666666666, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}, {"name": "triangle", "size": [22.715, 23.147000000000002], "center": [10.0, 30.0], "color": [0.28328339322839924, 0.5574572436137101, 0.3527011517311064]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [60.115, 63.208], "center": [10.0002, 30.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [30.058, 31.604], "center": [10.000399999999999, 30.0], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}, {"name": "pentagon", "size": [31.430999999999997, 30.913], "center": [10.0, 29.999800000000004], "color": [0.051055097029128915, 0.9695252732030296, 0.21224598367283332]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_111.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_111.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_111.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_111.png", "instructions": [["translate", [10, 30]], ["scale", 0.5], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the right and significantly upward. <shapeB_step_0>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>\n- Rotate the pentagon by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "B"}
3steps_medium_no_4
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0> - Reduce the size of the square, making it smaller. <shapeB_step_1> - Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [-30, -10]], ['scale', 0.5], ['flip', 'vertical']]
medium
{"instance_id": 4, "shape_A": {"name": "triangle", "facecolor": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [27.957525882536824, 60.12591420500344]}, "shape_B": {"name": "square", "facecolor": [0.623259400521998, 0.39748332388577345, 0.08031532057944901], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.51945414664519, 33.51945414664519]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_4.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_4.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_4.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_4.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_4.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_4.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [45.788, 45.788], "center": [-8.881784197001252e-16, -8.881784197001252e-16], "color": [0.4568358126677865, 0.3021216705383136, 0.9993735655001792]}, {"name": "square", "size": [33.519999999999996, 33.519999999999996], "center": [0.0, -1.7763568394002505e-15], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [-1.7763568394002505e-15, 0.0], "color": [0.2991542491237722, 0.962029072823442, 0.6903135124601291]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [30.0, -9.999999999999998], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}], "medium": [{"name": "square", "size": [16.76, 16.759999999999998], "center": [30.0, -9.999999999999998], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [45.788, 45.788], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.8328388996731884, 0.9029349184497755, 0.7757409796033808]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [-1.7763568394002505e-15, 0.0], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [33.519999999999996, 33.519999999999996], "center": [0.0, -1.7763568394002505e-15], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [27.957, 60.126000000000005], "center": [-30.0, -10.0], "color": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233]}, {"name": "triangle", "size": [13.977999999999998, 30.064], "center": [-30.0, -10.0], "color": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233]}, {"name": "triangle", "size": [13.977999999999998, 30.064], "center": [30.0, -10.0], "color": [0.9541395926226761, 0.6267991790079878, 0.8874386829093233]}], "tranformed_B_sequence_info": [{"name": "square", "size": [33.519999999999996, 33.52], "center": [-30.0, -10.000000000000002], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [-30.0, -9.999999999999998], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}, {"name": "square", "size": [16.76, 16.759999999999998], "center": [30.0, -9.999999999999998], "color": [0.623259400521998, 0.39748332388577345, 0.08031532057944901]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_4.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_4.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_4.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_4.png", "instructions": [["translate", [-30, -10]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Flip the square as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "A"}
3steps_medium_no_40
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle a little to the left and slightly downward. <shapeB_step_0> - Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1> - Reduce the size of the triangle, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-10, -10]], ['rotate', 60], ['scale', 0.5]]
medium
{"instance_id": 40, "shape_A": {"name": "pentagon", "facecolor": [0.020028373264683763, 0.9403551930677546, 0.102520730357612], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [55.388869740618155, 58.23930417551402]}, "shape_B": {"name": "triangle", "facecolor": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456], "edgecolor": "black", "center": [8.881784197001252e-16, -1.1842378929335002e-15], "size": [38.61703878667677, 53.961466455182055]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_40.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [17.615000000000002, 28.886000000000003], "center": [0.8698333333333341, -3.003], "color": [0.20266669317840946, 0.2642699552272437, 0.6560507087126461]}, {"name": "triangle", "size": [57.774, 35.229], "center": [-6.006, -1.7394999999999996], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615, 28.886000000000003], "center": [-9.999666666666666, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [38.617000000000004, 53.961], "center": [-1.2325, -7.226499999999999], "color": [0.5123556311688077, 0.023431951568677833, 0.27404973997850446]}], "medium": [{"name": "triangle", "size": [16.17, 61.45], "center": [0.34266666666666684, -9.17], "color": [0.40319507283336264, 0.8380703961366016, 0.5234056690561205]}, {"name": "triangle", "size": [38.617000000000004, 53.961], "center": [-1.2325, -7.226499999999999], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615, 28.886000000000003], "center": [-9.999666666666666, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615000000000002, 28.886000000000003], "center": [0.8698333333333341, -3.003], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}], "hard": [{"name": "triangle", "size": [38.617000000000004, 53.961], "center": [-1.2325, -7.226499999999999], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615000000000002, 10.741143680548344], "center": [-1.8311989822411465, -0.5303647401945512], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615000000000002, 28.886000000000003], "center": [0.8698333333333341, -3.003], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615, 28.886000000000003], "center": [-9.999666666666666, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [55.388999999999996, 58.239999999999995], "center": [-10.0, -10.0], "color": [0.020028373264683763, 0.9403551930677546, 0.102520730357612]}, {"name": "pentagon", "size": [57.92099999999999, 56.967], "center": [-9.999999999999996, -10.000200000000001], "color": [0.020028373264683763, 0.9403551930677546, 0.102520730357612]}, {"name": "pentagon", "size": [28.96, 28.483999999999998], "center": [-9.999799999999999, -10.0002], "color": [0.020028373264683763, 0.9403551930677546, 0.102520730357612]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [38.617000000000004, 53.961], "center": [-10.0, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [35.229, 57.774], "center": [-10.0, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}, {"name": "triangle", "size": [17.615, 28.886000000000003], "center": [-9.999666666666666, -10.0], "color": [0.8597228357033468, 0.2293344683214089, 0.8012853947386456]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_40.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_40.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_40.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_40.png", "instructions": [["translate", [-10, -10]], ["rotate", 60], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and slightly downward. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "C", "hard": "D"}
3steps_medium_no_51
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the left by a significant amount and slightly upward. <shapeB_step_0> - Reduce the size of the square, making it smaller. <shapeB_step_1> - Shift the square slightly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, 10]], ['scale', 0.5], ['translate', [0, 10]]]
medium
{"instance_id": 51, "shape_A": {"name": "ellipse", "facecolor": [0.6712425594923082, 0.9631896083950368, 0.1880698147030062], "edgecolor": "black", "center": [-3.552713678800501e-16, -3.7192471324942745e-16], "size": [31.432585543544395, 20.44207999848012]}, "shape_B": {"name": "square", "facecolor": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.51473467381774, 33.51473467381774]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_51.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [45.782, 45.782], "center": [2.220446049250313e-16, -8.881784197001252e-16], "color": [0.5402110415153014, 0.8320130910336516, 0.15942796953840443]}, {"name": "square", "size": [16.756, 16.757], "center": [0.0, 0.0], "color": [0.7987355483598455, 0.139521300623059, 0.8162582203170493]}, {"name": "square", "size": [33.513999999999996, 33.513999999999996], "center": [0.0, 1.7763568394002505e-15], "color": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674]}, {"name": "square", "size": [16.756, 16.757], "center": [-30.0, 20.000500000000002], "color": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674]}], "medium": [{"name": "square", "size": [45.78, 45.78], "center": [0.0, 8.881784197001252e-16], "color": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674]}, {"name": "square", "size": [33.513999999999996, 33.513999999999996], "center": [0.0, 1.7763568394002505e-15], "color": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674]}, {"name": "square", "size": [16.756, 16.757], "center": [0.0, 0.0], "color": [0.9510126569789121, 0.421917527503331, 0.35751428948033637]}, {"name": "square", "size": [16.756, 16.757], "center": [-30.0, 20.000500000000002], "color": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.432000000000002, 20.442], "center": [-30.00000000000001, 9.999999999999998], "color": [0.6712425594923082, 0.9631896083950368, 0.1880698147030062]}, {"name": "ellipse", "size": [15.715999999999998, 10.221], "center": [-30.000400000000003, 9.999775000000003], "color": [0.6712425594923082, 0.9631896083950368, 0.1880698147030062]}, {"name": "ellipse", "size": [15.715999999999998, 10.221], "center": [-30.000400000000003, 19.999875], "color": [0.6712425594923082, 0.9631896083950368, 0.1880698147030062]}], "tranformed_B_sequence_info": [{"name": "square", "size": [33.513999999999996, 33.514], "center": [-30.0, 10.0], "color": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674]}, {"name": "square", "size": [16.756, 16.757], "center": [-30.0, 10.0005], "color": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674]}, {"name": "square", "size": [16.756, 16.757], "center": [-30.0, 20.000500000000002], "color": [0.01326906365722924, 0.8974081132116445, 0.6566100274250674]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_51.png", "instructions": [["translate", [-30, 10]], ["scale", 0.5], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Shift the square slightly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D"}
3steps_medium_no_99
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon significantly upward. <shapeB_step_0> - Shift the hexagon a little to the left and significantly upward. <shapeB_step_1> - Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['translate', [0, 30]], ['translate', [-10, 30]], ['flip', 'vertical']]
medium
{"instance_id": 99, "shape_A": {"name": "triangle", "facecolor": [0.15538395037811115, 0.8979262330379228, 0.530903047125134], "edgecolor": "black", "center": [0.0, 0.0], "size": [45.41099251869565, 55.90269774956257]}, "shape_B": {"name": "hexagon", "facecolor": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.1631728184235, 58.16501385951925]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_99.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_99.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_99.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_99.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_99.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_99.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_99.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [67.164, 58.166], "center": [10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [29.084, 33.582], "center": [0.0, 0.0003333333333337407], "color": [0.7497046666984698, 0.9401172130049587, 0.46001191863997726]}, {"name": "hexagon", "size": [58.166, 67.164], "center": [0.0, 1.1842378929335002e-15], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [1.1842378929335002e-15, 0.0], "color": [0.6590534884213197, 0.039313672169882685, 0.10486016004032961]}], "medium": [{"name": "hexagon", "size": [67.164, 58.166], "center": [10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [58.164, 67.164], "center": [0.0, 0.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [1.1842378929335002e-15, 0.0], "color": [0.8510658344058103, 0.9228840785102244, 0.3136482349022035]}, {"name": "hexagon", "size": [33.581999999999994, 29.082], "center": [5.921189464667501e-16, 0.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}], "hard": [{"name": "hexagon", "size": [67.164, 58.166], "center": [10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [50.37346727413495, 58.166], "center": [0.0, 0.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [34.624, 33.582], "center": [0.0, -5.921189464667501e-16], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [1.1842378929335002e-15, 0.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [45.411, 55.903000000000006], "center": [-5.921189464667501e-16, 30.0], "color": [0.15538395037811115, 0.8979262330379228, 0.530903047125134]}, {"name": "triangle", "size": [45.411, 55.903000000000006], "center": [-9.999999999999998, 60.0], "color": [0.15538395037811115, 0.8979262330379228, 0.530903047125134]}, {"name": "triangle", "size": [45.411, 55.903000000000006], "center": [9.999999999999998, 60.0], "color": [0.15538395037811115, 0.8979262330379228, 0.530903047125134]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [67.164, 58.166], "center": [1.1842378929335002e-15, 30.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [-10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}, {"name": "hexagon", "size": [67.164, 58.166], "center": [10.0, 60.0], "color": [0.1934167251776503, 0.16764427154016615, 0.21340495155501005]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_99.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_99.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_99.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_99.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_99.png", "instructions": [["translate", [0, 30]], ["translate", [-10, 30]], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left and significantly upward. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "A"}
3steps_medium_no_119
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_1> - Shift the triangle a little to the left. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', 30], ['translate', [-30, 30]], ['translate', [-10, 0]]]
medium
{"instance_id": 119, "shape_A": {"name": "rectangle", "facecolor": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.24822105989614, 21.66208613025525]}, "shape_B": {"name": "triangle", "facecolor": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684], "edgecolor": "black", "center": [0.0, 0.0], "size": [52.08814540413783, 54.442623146343855]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [24.711, 32.265], "center": [0.7625000000000001, -2.2818333333333336], "color": [0.7610957147710081, 0.5336540213797596, 0.4541393548714845]}, {"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [48.341, 65.95400000000001], "center": [3.1141666666666663, 2.6070000000000007], "color": [0.7527492895017147, 0.6048197007594652, 0.8781372278971241]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "medium": [{"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [26.044, 27.221], "center": [-3.943, -3.099499999999999], "color": [0.38694623214830115, 0.7687280455169108, 0.5401432841943017]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [55.977000000000004, 56.331], "center": [4.710500000000001, -0.3354999999999985], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "hard": [{"name": "triangle", "size": [52.088, 54.442], "center": [-7.886333333333334, 6.198999999999999], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.341], "center": [-2.6070000000000007, 3.1141666666666663], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [32.265, 24.711], "center": [2.2818333333333336, 0.7625000000000001], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [40.49, 35.884], "center": [0.0, -3.608224830031759e-16], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}, {"name": "rectangle", "size": [40.489999999999995, 35.884], "center": [-30.0, 29.999999999999996], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}, {"name": "rectangle", "size": [40.489999999999995, 35.884], "center": [-40.0, 29.999999999999996], "color": [0.8398348096199418, 0.8764427791618954, 0.7014692431343847]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [65.95400000000001, 48.341], "center": [1.1842378929335002e-15, -0.0003333333333337407], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.954, 48.340999999999994], "center": [-30.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}, {"name": "triangle", "size": [65.95400000000001, 48.340999999999994], "center": [-40.0, 29.999666666666666], "color": [0.6917919264077007, 0.49956317176697185, 0.1022068579245684]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_119.png", "instructions": [["rotate", 30], ["translate", [-30, 30]], ["translate", [-10, 0]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_1>\n- Shift the triangle a little to the left. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "B"}
3steps_medium_no_93
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0> - Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1> - Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [30, 30]], ['flip', 'horizontal'], ['flip', 'horizontal']]
medium
{"instance_id": 93, "shape_A": {"name": "rectangle", "facecolor": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.220411786245975, 24.614735790284964]}, "shape_B": {"name": "circle", "facecolor": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966], "edgecolor": "black", "center": [-1.1546319456101628e-15, 8.881784197001253e-17], "size": [64.31487360898397, 64.31487360898397]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_93.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_93.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_93.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_93.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_93.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_93.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_93.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.314, 64.314], "center": [3.552713678800501e-16, -8.881784197001252e-16], "color": [0.0461979423390404, 0.6795218895729834, 0.5529770417191403]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [32.156, 32.156], "center": [-5.000000000046079e-05, -0.00015000000000080503], "color": [0.607806711017416, 0.2422915875966687, 0.2977799353470487]}, {"name": "circle", "size": [95.53, 80.668], "center": [7.500000000142393e-05, 6.217248937900876e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}], "medium": [{"name": "circle", "size": [32.158, 32.158], "center": [-2.220446049250313e-16, -3.552713678800501e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [3.552713678800501e-16, -8.881784197001252e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [74.998, 70.806], "center": [0.0, -5.000000000232596e-05], "color": [0.3898268558327106, 0.782259262799804, 0.3397320271201272]}], "hard": [{"name": "circle", "size": [32.158, 32.158], "center": [-1.7763568394002506e-16, -3.774758283725532e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 54.15750339924461], "center": [-1.5099033134902129e-15, -1.0658141036401502e-15], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [3.552713678800501e-16, -8.881784197001252e-16], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.22, 24.614], "center": [30.0, 30.000000000000004], "color": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814]}, {"name": "rectangle", "size": [34.22, 24.614], "center": [30.0, -30.000000000000004], "color": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814]}, {"name": "rectangle", "size": [34.22, 24.614], "center": [30.0, 30.000000000000004], "color": [0.4254019801119574, 0.8829701848440143, 0.17379983330709814]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, -30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}, {"name": "circle", "size": [64.314, 64.314], "center": [30.0, 30.000000000000007], "color": [0.8304553365381635, 0.37455180260034426, 0.42317840992764966]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_93.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_93.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_93.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_93.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_93.png", "instructions": [["translate", [30, 30]], ["flip", "horizontal"], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "C", "hard": "B"}
3steps_medium_no_73
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and significantly downward. <shapeB_step_0> - Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1> - Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [-10, -30]], ['translate', [30, 10]], ['flip', 'vertical']]
medium
{"instance_id": 73, "shape_A": {"name": "triangle", "facecolor": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.787677252098604, 22.748862674852653]}, "shape_B": {"name": "rectangle", "facecolor": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.77488913308872, 21.149583667217854]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_73.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_73.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_73.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [39.826, 35.202], "center": [0.0, 3.3306690738754696e-16], "color": [0.8391437219984859, 0.8207609301134132, 0.7756596633854753]}, {"name": "rectangle", "size": [21.15, 33.774], "center": [0.0, 0.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.7656666102185837, 0.03511478903215426, 0.3050668757193612]}], "medium": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [39.82599999999999, 35.202], "center": [8.881784197001252e-16, 0.0], "color": [0.969324626201332, 0.18628970939629597, 0.12771629092021286]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [13.242545002368544, 21.15], "center": [0.0, 0.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}], "hard": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [0.0, -1.7763568394002505e-15], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [18.696379067898754, 21.15], "center": [0.0, -2.220446049250313e-16], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [21.150000000000002, 33.775999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [60.788000000000004, 22.749], "center": [-9.999666666666668, -30.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}, {"name": "triangle", "size": [60.788, 22.749], "center": [20.000333333333334, -20.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}, {"name": "triangle", "size": [60.788, 22.749], "center": [-20.000333333333334, -20.0], "color": [0.5602165128801981, 0.0012224177671142922, 0.49041495457387874]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [33.774, 21.150000000000002], "center": [-10.0, -30.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}, {"name": "rectangle", "size": [33.774, 21.15], "center": [-20.0, -20.0], "color": [0.3733049777398598, 0.12443972406889059, 0.18890937916397166]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_73.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_73.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]], ["translate", [30, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the left and significantly downward. <shapeB_step_0>\n- Shift the rectangle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "C", "hard": "B"}
3steps_medium_no_63
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Reduce the size of the ellipse, making it smaller. <shapeB_step_0> - Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['scale', 0.5], ['rotate', 90], ['translate', [-30, 30]]]
medium
{"instance_id": 63, "shape_A": {"name": "pentagon", "facecolor": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255], "edgecolor": "black", "center": [1.0658141036401502e-15, 7.105427357601002e-16], "size": [58.13726083360433, 61.1291335872219]}, "shape_B": {"name": "ellipse", "facecolor": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546], "edgecolor": "black", "center": [-4.440892098500626e-16, -1.9984014443252818e-16], "size": [34.583948838339225, 24.777557527999]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_63.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_63.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_63.png", "answer_choices": {"medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_63.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_63.png"}, "answer_choices_info": {"medium": [{"name": "ellipse", "size": [24.778000000000002, 34.584], "center": [-8.881784197001253e-17, 1.7763568394002506e-16], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [32.31399999999999, 27.524], "center": [7.105427357601002e-16, 1.8207657603852566e-15], "color": [0.7040796566063423, 0.8918091207229907, 0.9425961466490883]}, {"name": "ellipse", "size": [12.388000000000002, 17.292], "center": [-30.0, 30.0], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [17.292, 12.388], "center": [4.4408920985006264e-17, -3.053113317719181e-17], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}], "hard": [{"name": "ellipse", "size": [47.258, 15.93], "center": [8.881784197001252e-16, -3.774758283725532e-16], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [17.292, 12.388], "center": [4.4408920985006264e-17, -3.053113317719181e-17], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [7.626, 22.158], "center": [2.3037127760972e-16, 1.7763568394002506e-16], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [12.388000000000002, 17.292], "center": [-30.0, 30.0], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.069, 30.564], "center": [0.0002000000000000668, 0.0], "color": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255]}, {"name": "pentagon", "size": [30.564, 29.069], "center": [0.0, 0.0002000000000000668], "color": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255]}, {"name": "pentagon", "size": [30.563999999999997, 29.069000000000003], "center": [-30.0, 30.0002], "color": [0.39633902490542516, 0.47417063642409796, 0.28660573448381255]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [17.292, 12.388], "center": [4.4408920985006264e-17, -3.053113317719181e-17], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [12.388, 17.292], "center": [3.053113317719181e-17, 4.4408920985006264e-17], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}, {"name": "ellipse", "size": [12.388000000000002, 17.292], "center": [-30.0, 30.0], "color": [0.8578384736242334, 0.8632228054106582, 0.7878392535028546]}], "individual_answer_choices_path": {"medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_63.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_63.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_63.png", "instructions": [["scale", 0.5], ["rotate", 90], ["translate", [-30, 30]]], "correct_answer": {"medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount and significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"medium": "C", "hard": "D"}
3steps_medium_no_50
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0> - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_1> - Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, 30]], ['rotate', -90], ['rotate', -60]]
medium
{"instance_id": 50, "shape_A": {"name": "rectangle", "facecolor": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.000713175526233, 22.85103487728918]}, "shape_B": {"name": "triangle", "facecolor": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987], "edgecolor": "black", "center": [0.0, 0.0], "size": [62.5912286934625, 35.32370268495342]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_50.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_50.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_50.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_50.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_50.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_50.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_50.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [62.590999999999994, 35.323], "center": [-8.059499999999998, -2.4654999999999974], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [41.676, 58.327999999999996], "center": [-30.000333333333334, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [35.32299999999999, 62.590999999999994], "center": [-2.465500000000001, 8.059499999999998], "color": [0.8526813986241812, 0.619276740029663, 0.8571659774423532]}, {"name": "triangle", "size": [12.448999999999998, 66.735], "center": [-1.1235, 10.778833333333333], "color": [0.9467871135043451, 0.9301594272256604, 0.3034465495128975]}], "medium": [{"name": "triangle", "size": [62.590999999999994, 35.323], "center": [-8.059499999999998, -2.4654999999999974], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [35.32299999999999, 62.590999999999994], "center": [-2.465500000000001, 8.059499999999998], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [41.676, 29.779391167192436], "center": [5.67607570977918, -2.2728596214511043], "color": [0.2974699271503365, 0.03499275370330879, 0.12007651703097011]}, {"name": "triangle", "size": [41.676, 58.327999999999996], "center": [-30.000333333333334, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}], "hard": [{"name": "triangle", "size": [35.32299999999999, 62.590999999999994], "center": [-2.465500000000001, 8.059499999999998], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [62.590999999999994, 35.323], "center": [-8.059499999999998, -2.4654999999999974], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [20.838, 29.164], "center": [-1.590333333333333, -3.972], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [41.676, 58.327999999999996], "center": [-30.000333333333334, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [31.0, 22.852], "center": [-30.0, 30.000000000000004], "color": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464]}, {"name": "rectangle", "size": [22.852, 31.0], "center": [-30.0, 30.0], "color": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464]}, {"name": "rectangle", "size": [38.272000000000006, 35.290000000000006], "center": [-30.0, 30.000000000000004], "color": [0.2015859168333669, 0.6076185126325355, 0.3344857409281464]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [62.590999999999994, 35.323], "center": [-30.0, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [35.323, 62.590999999999994], "center": [-30.0, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}, {"name": "triangle", "size": [41.676, 58.327999999999996], "center": [-30.000333333333334, 30.0], "color": [0.3270580835486063, 0.26034184837812513, 0.11916766055272987]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_50.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_50.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_50.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_50.png", "instructions": [["translate", [-30, 30]], ["rotate", -90], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_0>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "D"}
3steps_medium_no_106
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it smaller. <shapeB_step_0> - Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1> - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['rotate', -30], ['rotate', -90]]
medium
{"instance_id": 106, "shape_A": {"name": "rectangle", "facecolor": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.429619278662187, 23.519356892684694]}, "shape_B": {"name": "triangle", "facecolor": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [54.674641152139, 47.17399099888111]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_106.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_106.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_106.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_106.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_106.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_106.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_106.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.838, 34.06], "center": [-7.145333333333333, 3.7330000000000005], "color": [0.7256439050117809, 0.02732138501468384, 0.21479456020780974]}, {"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.9931273083192043, 0.44973360199872137, 0.25827122940299563]}, {"name": "triangle", "size": [47.174, 54.675], "center": [-0.9969999999999999, -2.2105], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "medium": [{"name": "triangle", "size": [28.189, 60.638999999999996], "center": [-3.2585, 7.5615], "color": [0.99645079325002, 0.6025607020113347, 0.6440071041307395]}, {"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [7.916946189745872, 17.03], "center": [0.9149844159699209, -2.1236831357157384], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "hard": [{"name": "triangle", "size": [17.03, 28.919], "center": [1.8666666666666665, 3.5725], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [10.028731975517825, 17.03], "center": [1.0991560911511462, 2.10389409500098], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [33.81999999999999, 50.825], "center": [-3.9420000000000015, 0.5744999999999996], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.214, 11.76], "center": [0.0, 0.0], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}, {"name": "rectangle", "size": [19.056, 17.792], "center": [-1.1102230246251565e-16, 0.0], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}, {"name": "rectangle", "size": [17.792, 19.056], "center": [0.0, 1.1102230246251565e-16], "color": [0.4092069533482112, 0.5522115578433922, 0.7770626560704289]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [27.337, 23.587], "center": [0.00033333333333285253, 0.0], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [17.03, 28.919], "center": [-0.0003333333333332966, 0.0], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}, {"name": "triangle", "size": [28.919, 17.03], "center": [0.0, 0.0003333333333332966], "color": [0.2894660313680062, 0.9688223901783413, 0.2204444502430679]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_106.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_106.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_106.png", "instructions": [["scale", 0.5], ["rotate", -30], ["rotate", -90]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "B"}
3steps_medium_no_33
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the rectangle a little to the left and significantly upward. <shapeB_step_1> - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['rotate', 90], ['translate', [-10, 30]], ['rotate', 90]]
medium
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041], "edgecolor": "black", "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "size": [19.332390195657048, 51.75319726203044]}, "shape_B": {"name": "rectangle", "facecolor": [0.8951348445353484, 0.4989122606375366, 0.454807857526233], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.85840322705855, 22.441294977053726]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [31.06, 11.38], "center": [0.0, 0.0], "color": [0.8741588850489151, 0.6691505617909366, 0.34893796194998616]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.5701337262934477, 0.8538291906787356, 0.2230512901263162]}, {"name": "rectangle", "size": [34.858, 22.442], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "medium": [{"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.2134208310699277, 0.2114928876461133, 0.02294273639205846]}, {"name": "rectangle", "size": [34.858000000000004, 22.441999999999997], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [36.864, 41.408], "center": [-5.551115123125783e-17, 8.881784197001252e-16], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "hard": [{"name": "rectangle", "size": [25.20828819444444, 22.441999999999997], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [36.864000000000004, 41.408], "center": [-8.881784197001252e-16, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [51.753, 19.333], "center": [-0.0003333333333325565, 5.921189464667501e-16], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}, {"name": "triangle", "size": [51.753, 19.333000000000002], "center": [-10.000333333333332, 30.0], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}, {"name": "triangle", "size": [19.333000000000002, 51.753], "center": [-10.0, 29.999666666666666], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858000000000004], "center": [-10.0, 30.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_33.png", "instructions": [["rotate", 90], ["translate", [-10, 30]], ["rotate", 90]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_1>\n- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "C"}
3steps_medium_no_102
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Reduce the size of the square, making it smaller. <shapeB_step_0> - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1> - Shift the square significantly upward. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['scale', 0.5], ['rotate', 30], ['translate', [0, 30]]]
medium
{"instance_id": 102, "shape_A": {"name": "rectangle", "facecolor": [0.21567512763129615, 0.589386626549615, 0.22978524306588743], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.953645942398293, 22.18823013967595]}, "shape_B": {"name": "square", "facecolor": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.27182908097337, 33.27182908097337]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_102.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_102.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [45.45, 45.45], "center": [4.440892098500626e-16, 0.0], "color": [0.25592506801127335, 0.3621099989865959, 0.9630855419562623]}, {"name": "square", "size": [33.272, 33.272000000000006], "center": [0.0, -1.7763568394002505e-15], "color": [0.9045142691073759, 0.5294072836798522, 0.006461391776677039]}], "medium": [{"name": "square", "size": [45.45, 45.45], "center": [0.0, 4.440892098500626e-16], "color": [0.9644580663346177, 0.9225036442939006, 0.9514205201854297]}, {"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [33.272, 33.272], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.476, 11.094], "center": [0.0, 0.0], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}, {"name": "rectangle", "size": [18.95, 17.346], "center": [0.0, -1.1102230246251565e-16], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}, {"name": "rectangle", "size": [18.95, 17.346], "center": [0.0, 30.0], "color": [0.21567512763129615, 0.589386626549615, 0.22978524306588743]}], "tranformed_B_sequence_info": [{"name": "square", "size": [16.636, 16.636], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 0.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}, {"name": "square", "size": [22.726, 22.726], "center": [0.0, 30.0], "color": [0.9416407479071305, 0.2418563816836904, 0.7877935256294721]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_102.png", "instructions": [["scale", 0.5], ["rotate", 30], ["translate", [0, 30]]], "correct_answer": {"easy": "A", "medium": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the square significantly upward. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "D"}
3steps_medium_no_107
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square slightly upward. <shapeB_step_0> - Shift the square a little to the right and significantly downward. <shapeB_step_1> - Reduce the size of the square, making it smaller. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [0, 10]], ['translate', [10, -30]], ['scale', 0.5]]
medium
{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.8945462388180654, 0.48160505233266193, 0.6089580460676322], "edgecolor": "black", "center": [-3.9968028886505636e-16, 5.551115123125783e-17], "size": [31.942905863234678, 21.695005894619882]}, "shape_B": {"name": "square", "facecolor": [0.8120701118411144, 0.5534081194790826, 0.663781427536076], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.59715002262993, 31.59715002262993]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_107.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_107.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_107.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.598, 31.598], "center": [0.0, 0.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799999999999997, 15.799999999999997], "center": [0.0, 0.0], "color": [0.9855646073454597, 0.3975327607524739, 0.7473631470143139]}, {"name": "square", "size": [43.162000000000006, 43.162000000000006], "center": [0.0, 0.0], "color": [0.6956102091068623, 0.9821887768734714, 0.724298600412953]}, {"name": "square", "size": [15.799, 15.799000000000001], "center": [10.000499999999999, -19.999499999999998], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}], "medium": [{"name": "square", "size": [31.598, 31.598], "center": [0.0, 0.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [43.162000000000006, 43.162000000000006], "center": [0.0, -8.881784197001252e-16], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799, 15.799000000000001], "center": [10.000499999999999, -19.999499999999998], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799000000000003, 15.799], "center": [-1.7763568394002505e-15, 0.0], "color": [0.04687878245551835, 0.739866938859531, 0.5119937892253075]}], "hard": [{"name": "square", "size": [43.162, 43.162000000000006], "center": [0.0, 8.881784197001252e-16], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [31.598, 31.598], "center": [0.0, 0.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799000000000003, 15.799], "center": [1.7763568394002505e-15, 0.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799, 15.799000000000001], "center": [10.000499999999999, -19.999499999999998], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.942, 21.695999999999998], "center": [-8.881784197001253e-17, 9.999999999999998], "color": [0.8945462388180654, 0.48160505233266193, 0.6089580460676322]}, {"name": "ellipse", "size": [31.942, 21.695999999999998], "center": [9.999999999999996, -19.999999999999993], "color": [0.8945462388180654, 0.48160505233266193, 0.6089580460676322]}, {"name": "ellipse", "size": [15.972000000000001, 10.847999999999999], "center": [9.999750000000002, -19.99985], "color": [0.8945462388180654, 0.48160505233266193, 0.6089580460676322]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.598, 31.598], "center": [0.0, 10.0], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [31.598, 31.598], "center": [10.0, -19.999999999999996], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}, {"name": "square", "size": [15.799, 15.799000000000001], "center": [10.000499999999999, -19.999499999999998], "color": [0.8120701118411144, 0.5534081194790826, 0.663781427536076]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_107.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_107.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_107.png", "instructions": [["translate", [0, 10]], ["translate", [10, -30]], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square slightly upward. <shapeB_step_0>\n- Shift the square a little to the right and significantly downward. <shapeB_step_1>\n- Reduce the size of the square, making it smaller. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "D"}
3steps_medium_no_75
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0> - Reduce the size of the circle, making it smaller. <shapeB_step_1> - Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
D
[['translate', [-30, -30]], ['scale', 0.5], ['flip', 'vertical']]
medium
{"instance_id": 75, "shape_A": {"name": "pentagon", "facecolor": [0.45674633042636925, 0.8316691933719237, 0.673254121332858], "edgecolor": "black", "center": [7.105427357601002e-16, 1.4210854715202005e-15], "size": [59.18494571404371, 62.230734661909494]}, "shape_B": {"name": "circle", "facecolor": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003], "edgecolor": "black", "center": [-5.329070518200751e-16, -8.215650382226159e-16], "size": [69.45070957938837, 69.45070957938837]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_75.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_75.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_75.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_75.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_75.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [46.076, 52.302], "center": [-6.217248937900876e-16, 1.9539925233402757e-15], "color": [0.8478644241745077, 0.012038291010361801, 0.36301883461664086]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.32394193681060623, 0.239173511249826, 0.4128729433649466]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "medium": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.9206505130065439, 0.6526182608492092, 0.5133389267827447]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [72.15, 81.068], "center": [-2.7533531010703883e-15, -2.3092638912203257e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "hard": [{"name": "circle", "size": [39.544, 148.913], "center": [-2.4999999998343015e-05, -0.0005249999999913157], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-4.7961634663806766e-15, -4.440892098500626e-15], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-0.0002749999999990038, -7.105427357601002e-16], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.185, 62.230000000000004], "center": [-29.999800000000004, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}, {"name": "pentagon", "size": [29.593000000000004, 31.116], "center": [-29.9998, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}, {"name": "pentagon", "size": [29.593000000000004, 31.116], "center": [29.9998, -30.0], "color": [0.45674633042636925, 0.8316691933719237, 0.673254121332858]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.44999999999999, 69.44999999999999], "center": [-29.999999999999993, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [-29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}, {"name": "circle", "size": [34.725, 34.724000000000004], "center": [29.99977500000001, -30.0], "color": [0.6121864319207463, 0.003358688325866832, 0.5210922775547003]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_75.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_75.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_75.png", "instructions": [["translate", [-30, -30]], ["scale", 0.5], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "D", "hard": "B"}
3steps_hard_no_33
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the rectangle a little to the left and significantly upward. <shapeB_step_1> - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['rotate', 90], ['translate', [-10, 30]], ['rotate', 90]]
hard
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041], "edgecolor": "black", "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "size": [19.332390195657048, 51.75319726203044]}, "shape_B": {"name": "rectangle", "facecolor": [0.8951348445353484, 0.4989122606375366, 0.454807857526233], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.85840322705855, 22.441294977053726]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_33.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [31.06, 11.38], "center": [0.0, 0.0], "color": [0.8741588850489151, 0.6691505617909366, 0.34893796194998616]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.5701337262934477, 0.8538291906787356, 0.2230512901263162]}, {"name": "rectangle", "size": [34.858, 22.442], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "medium": [{"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.2134208310699277, 0.2114928876461133, 0.02294273639205846]}, {"name": "rectangle", "size": [34.858000000000004, 22.441999999999997], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [36.864, 41.408], "center": [-5.551115123125783e-17, 8.881784197001252e-16], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "hard": [{"name": "rectangle", "size": [25.20828819444444, 22.441999999999997], "center": [1.7763568394002505e-15, -8.881784197001252e-16], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [36.864000000000004, 41.408], "center": [-8.881784197001252e-16, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [51.753, 19.333], "center": [-0.0003333333333325565, 5.921189464667501e-16], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}, {"name": "triangle", "size": [51.753, 19.333000000000002], "center": [-10.000333333333332, 30.0], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}, {"name": "triangle", "size": [19.333000000000002, 51.753], "center": [-10.0, 29.999666666666666], "color": [0.1697176391933558, 0.2956081789841688, 0.06816183984367041]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [22.442, 34.858], "center": [0.0, 0.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [22.442, 34.858000000000004], "center": [-10.0, 30.0], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}, {"name": "rectangle", "size": [34.858, 22.441999999999997], "center": [-10.0, 29.999999999999996], "color": [0.8951348445353484, 0.4989122606375366, 0.454807857526233]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_33.png", "instructions": [["rotate", 90], ["translate", [-10, 30]], ["rotate", 90]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle a little to the left and significantly upward. <shapeB_step_1>\n- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "A", "hard": "C"}
3steps_hard_no_95
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0> - Reduce the size of the square, making it smaller. <shapeB_step_1> - Rotate the square by 60 degrees clockwise around its center. <shapeB_step_2> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
C
[['translate', [30, 10]], ['scale', 0.5], ['rotate', -60]]
hard
{"instance_id": 95, "shape_A": {"name": "rectangle", "facecolor": [0.5173018026860433, 0.28752210418112745, 0.24449381052509633], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.6673176394425, 24.83419011557521]}, "shape_B": {"name": "square", "facecolor": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.886862538795253, 31.886862538795253]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step0_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step1_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_step2_95.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 3. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_no_95.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_partial_95.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_B_all_95.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_easy_95.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_medium_95.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_3_steps/answer_choices_hard_95.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [15.944000000000003, 15.943000000000001], "center": [0.0, 0.0], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [21.778000000000002, 21.778], "center": [30.0, 10.0], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [43.55800000000001, 43.55800000000001], "center": [0.0, 4.440892098500626e-16], "color": [0.3775199632883699, 0.7387495317960592, 0.24460515553227924]}, {"name": "square", "size": [31.885999999999996, 31.886000000000003], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.10495160175276519, 0.0719393020441027, 0.9630039718042255]}], "medium": [{"name": "square", "size": [21.778000000000002, 21.778], "center": [30.0, 10.0], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [15.944000000000003, 15.943000000000001], "center": [0.0, 0.0], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [43.55800000000001, 43.558], "center": [-8.881784197001252e-16, 0.0], "color": [0.9432009562284746, 0.4444961885972527, 0.31316172105536166]}, {"name": "square", "size": [31.885999999999996, 31.886000000000003], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}], "hard": [{"name": "square", "size": [31.885999999999996, 31.886000000000003], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [15.944000000000003, 15.943000000000001], "center": [0.0, 0.0], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [21.778000000000002, 21.778], "center": [30.0, 10.0], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [43.55800000000001, 43.55800000000001], "center": [8.881784197001252e-16, -8.881784197001252e-16], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [31.668000000000003, 24.834000000000003], "center": [30.0, 10.0], "color": [0.5173018026860433, 0.28752210418112745, 0.24449381052509633]}, {"name": "rectangle", "size": [15.834000000000003, 12.415999999999999], "center": [30.0, 10.0], "color": [0.5173018026860433, 0.28752210418112745, 0.24449381052509633]}, {"name": "rectangle", "size": [18.67, 19.921999999999997], "center": [30.0, 10.0], "color": [0.5173018026860433, 0.28752210418112745, 0.24449381052509633]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.885999999999996, 31.886000000000003], "center": [30.0, 10.0], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [15.944000000000003, 15.943000000000001], "center": [30.0, 10.0005], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}, {"name": "square", "size": [21.778000000000002, 21.778], "center": [30.0, 10.0], "color": [0.07134484223414217, 0.41127210677110504, 0.7558761630160223]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_easy_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_easy_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_easy_95.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_medium_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_medium_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_medium_95.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_B_hard_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_C_hard_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_3_steps/distractor_D_hard_95.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_3_steps/composed_transformation_A_95.png", "instructions": [["translate", [30, 10]], ["scale", 0.5], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Rotate the square by 60 degrees clockwise around its center. <shapeB_step_2>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "A", "hard": "C"}