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VisSim
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2d_text_instruct_vissim_test_v2

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17
27
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330
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1steps_hard_all_w_ans_0
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Reduce the size of the circle, making it smaller. <shapeB_step_0> 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]]
hard
{"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_1_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.982, 66.982], "center": [-3.552713678800501e-16, 3.552713678800501e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.8341104266407503, 0.1626540971560848, 0.3552707002275215]}, {"name": "circle", "size": [73.616, 80.694], "center": [2.042810365310288e-15, 2.6645352591003757e-15], "color": [0.6701751743776934, 0.7018203134585513, 0.6835476655366672]}], "medium": [{"name": "circle", "size": [59.658, 55.34], "center": [-7.105427357601002e-16, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [78.344, 75.526], "center": [3.552713678800501e-16, -3.730349362740526e-15], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [86.68, 83.364], "center": [1.865174681370263e-15, 1.865174681370263e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "hard": [{"name": "circle", "size": [44.414, 40.201], "center": [4.999999999970584e-05, 2.4999999997854518e-05], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [66.982, 66.982], "center": [3.552713678800501e-16, -3.819167204710538e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [82.856, 78.658], "center": [0.00032500000000217354, 2.886579864025407e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_0.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5]], "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 - Reduce the size of the circle, making it smaller. <shapeB_step_0>\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"}
1steps_hard_all_w_ans_119
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle to the left by a significant amount. <shapeB_step_0> 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]]]
hard
{"instance_id": 119, "shape_A": {"name": "pentagon", "facecolor": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [62.38601511685521, 65.59653821613074]}, "shape_B": {"name": "rectangle", "facecolor": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.352761751473544, 20.069623533794292]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_119.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_119.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_119.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_119.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_119.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_119.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_119.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [16.176, 10.034000000000002], "center": [0.0, 1.7763568394002505e-15], "color": [0.7916012896307182, 0.8858480336699703, 0.325896016829761]}, {"name": "rectangle", "size": [38.054, 33.55800000000001], "center": [0.0, 8.881784197001252e-16], "color": [0.43717502926126484, 0.5517078489548533, 0.49083160755990596]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "medium": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [12.449925820609508, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [20.069999999999997, 32.352000000000004], "center": [-1.7763568394002505e-15, 0.0], "color": [0.8689337559539068, 0.9517460276412456, 0.7239486144303212]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "hard": [{"name": "rectangle", "size": [29.91, 43.944], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [48.376, 43.496], "center": [-3.885780586188048e-16, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}, {"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [0.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.385999999999996, 65.596], "center": [-30.0, 0.0], "color": [0.3625026865502513, 0.3684118524639656, 0.9762874785692875]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.352000000000004, 20.07], "center": [-30.0, 0.0], "color": [0.004183621087589073, 0.1207149797182494, 0.6479538295991291]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_119.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_119.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_119.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_119.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_119.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle to the left by a significant amount. <shapeB_step_0>\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": "B"}
1steps_hard_all_w_ans_22
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the triangle, making it smaller. <shapeB_step_0> 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]]
hard
{"instance_id": 22, "shape_A": {"name": "hexagon", "facecolor": [0.20297284053619957, 0.7167720473172957, 0.4589564373749567], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.39084790179809, 52.30000843903932]}, "shape_B": {"name": "triangle", "facecolor": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242], "edgecolor": "black", "center": [0.0, -2.3684757858670005e-15], "size": [36.82258863848975, 58.648335974176625]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_22.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_22.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_22.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_22.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_22.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_22.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_22.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [29.325000000000003, 18.411], "center": [-4.1785, -1.4985], "color": [0.6666569405518199, 0.0667438633594214, 0.7265377545536263]}, {"name": "triangle", "size": [36.822, 58.647999999999996], "center": [2.997, -8.357], "color": [0.9022347198222195, 0.9087364710382191, 0.4112781583695837]}, {"name": "triangle", "size": [51.831, 68.077], "center": [4.963833333333334, -9.4915], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [18.411, 29.325000000000003], "center": [-2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}], "medium": [{"name": "triangle", "size": [59.087, 37.09], "center": [7.837166666666665, -3.3840000000000017], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [18.411, 29.325000000000003], "center": [-2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [36.822, 58.647999999999996], "center": [2.997, -8.357], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [29.543, 18.545], "center": [3.9185000000000003, -1.6918333333333333], "color": [0.12415138285349181, 0.7414464830670469, 0.1684533735929824]}], "hard": [{"name": "triangle", "size": [18.411, 29.325000000000003], "center": [-2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [5.1419999999999995, 32.759], "center": [0.07500000000000002, -5.2885], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [83.764, 13.555], "center": [13.42, -0.6228333333333333], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}, {"name": "triangle", "size": [55.46, 70.80799999999999], "center": [6.589000000000001, -11.777], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [30.196, 26.15], "center": [2.9605947323337506e-16, 0.0], "color": [0.20297284053619957, 0.7167720473172957, 0.4589564373749567]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [18.411, 29.325000000000003], "center": [-2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.3097571762815168, 0.8178961031859487, 0.6647926455347242]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_22.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_22.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_22.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_22.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_22.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "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\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"}
1steps_hard_all_w_ans_13
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount. <shapeB_step_0> 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]]]
hard
{"instance_id": 13, "shape_A": {"name": "square", "facecolor": [0.2761000438384478, 0.11964959201073866, 0.7891437801948885], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.95733122182607, 33.95733122182607]}, "shape_B": {"name": "circle", "facecolor": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606], "edgecolor": "black", "center": [-5.329070518200751e-16, 7.549516567451064e-16], "size": [67.01328140023003, 67.01328140023003]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_13.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [88.453, 80.62], "center": [0.0002250000000003638, 9.999999999763532e-05], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [107.638, 95.354], "center": [-0.00010000000000136567, 7.499999999911466e-05], "color": [0.7657340955098555, 0.15413151393114954, 0.28312908353358535]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.8190497337839815, 0.18986945244721887, 0.6832241825576808]}], "medium": [{"name": "circle", "size": [82.006, 84.75200000000001], "center": [-3.4638958368304883e-15, 6.217248937900876e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [33.507999999999996, 33.507999999999996], "center": [-5.000000000041638e-05, 9.999999999998899e-05], "color": [0.02170137145759954, 0.8219399224471144, 0.689719183909427]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}], "hard": [{"name": "circle", "size": [40.094, 36.426], "center": [-8.881784197001252e-16, -5.329070518200751e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [24.656680259499534, 67.014], "center": [6.661338147750939e-16, 1.7763568394002505e-15], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}, {"name": "circle", "size": [67.014, 67.014], "center": [5.329070518200751e-16, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [33.958, 33.958], "center": [-30.0, 0.0], "color": [0.2761000438384478, 0.11964959201073866, 0.7891437801948885]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [67.014, 67.014], "center": [-30.0, -3.3306690738754696e-16], "color": [0.6329089659017447, 0.3245134876300968, 0.16736035640828606]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_13.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_13.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_13.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_13.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "C", "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. <shapeB_step_0>\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"}
1steps_hard_all_w_ans_38
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the left by a significant amount and slightly upward. <shapeB_step_0> 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]]]
hard
{"instance_id": 38, "shape_A": {"name": "pentagon", "facecolor": [0.9443639015410177, 0.9651436744553631, 0.11337075952366205], "edgecolor": "black", "center": [-7.105427357601002e-16, -7.105427357601002e-16], "size": [55.02367688193594, 57.85531768004809]}, "shape_B": {"name": "circle", "facecolor": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439], "edgecolor": "black", "center": [1.7763568394002506e-16, 1.5543122344752192e-15], "size": [64.51291593443824, 64.51291593443824]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_38.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_38.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_38.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_38.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.512, 64.512], "center": [-30.0, 10.000000000000002], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [32.256, 32.256], "center": [4.4408920985006264e-17, 4.999999999972804e-05], "color": [0.5348092257542195, 0.4786903559499497, 0.9247138929166969]}, {"name": "circle", "size": [64.512, 64.512], "center": [2.6645352591003756e-16, 9.103828801926283e-16], "color": [0.14581293867603828, 0.1603398287451766, 0.8152179471368327]}, {"name": "circle", "size": [79.818, 97.15799999999999], "center": [-2.842170943040401e-15, 1.4210854715202005e-15], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}], "medium": [{"name": "circle", "size": [32.256, 32.256], "center": [-2.220446049250313e-16, -4.9999999999661426e-05], "color": [0.6425273818438559, 0.1991130776701162, 0.04196462807342016]}, {"name": "circle", "size": [76.262, 74.334], "center": [3.3750779948604757e-15, 6.217248937900876e-16], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [64.512, 64.512], "center": [-30.0, 10.000000000000002], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [64.512, 64.512], "center": [2.6645352591003756e-16, 9.103828801926283e-16], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}], "hard": [{"name": "circle", "size": [85.73, 82.15], "center": [5.329070518200751e-16, -4.440892098500626e-16], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [64.512, 64.512], "center": [2.6645352591003756e-16, 9.103828801926283e-16], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [64.512, 64.512], "center": [-30.0, 10.000000000000002], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}, {"name": "circle", "size": [35.472, 39.059], "center": [-4.999999999926175e-05, 0.0005250000000013522], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [55.022999999999996, 57.855999999999995], "center": [-30.0, 10.0], "color": [0.9443639015410177, 0.9651436744553631, 0.11337075952366205]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.512, 64.512], "center": [-30.0, 10.000000000000002], "color": [0.6718108673177099, 0.41557564706997174, 0.9059545429531439]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_38.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_38.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_38.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_38.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_38.png", "instructions": [["translate", [-30, 10]]], "correct_answer": {"easy": "A", "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 slightly upward. <shapeB_step_0>\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"}
1steps_hard_all_w_ans_73
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> 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]]]
hard
{"instance_id": 73, "shape_A": {"name": "rectangle", "facecolor": [0.16792517369553162, 0.20171623799177596, 0.23182828122818733], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.92455337100892, 21.292950202067118]}, "shape_B": {"name": "triangle", "facecolor": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "size": [35.814747624629085, 50.20813196195812]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_73.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_73.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_73.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [17.907000000000004, 25.104], "center": [1.9755000000000003, -0.29566666666666624], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [32.34, 25.387], "center": [2.394, 2.1135], "color": [0.3363317496126026, 0.5317080578124259, 0.7798723798027771]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.3406427073881695, 0.1066338130567066, 0.9618465720017052]}], "medium": [{"name": "triangle", "size": [35.81399999999999, 20.13389209269414], "center": [-4.045855003243115, -2.8164359926882483], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [58.362, 19.351000000000003], "center": [2.9773333333333327, -3.002499999999999], "color": [0.20298269261692725, 0.7975810445820377, 0.07628866472541018]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}], "hard": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [25.439, 14.301], "center": [-2.8738333333333337, -2.0005], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [17.907, 25.104], "center": [-1.9754999999999978, -0.29566666666666624], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}, {"name": "triangle", "size": [35.814, 50.208], "center": [-3.9510000000000005, -0.5909999999999999], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.924, 21.292], "center": [-10.0, -30.0], "color": [0.16792517369553162, 0.20171623799177596, 0.23182828122818733]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [35.814, 50.208], "center": [-10.000000000000002, -30.0], "color": [0.6844108845415766, 0.7763158100981741, 0.051885744838368275]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_73.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_73.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_73.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_73.png", "instructions": [["translate", [-10, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "A"}, "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\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": "A"}
1steps_hard_all_w_ans_25
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the right and slightly upward. <shapeB_step_0> 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]]]
hard
{"instance_id": 25, "shape_A": {"name": "triangle", "facecolor": [0.9970094979583265, 0.60687704440205, 0.9580156516462669], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "size": [60.120050013244196, 28.320818441605198]}, "shape_B": {"name": "rectangle", "facecolor": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.84858819596678, 21.478040894920845]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_25.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [28.474, 10.162], "center": [-4.440892098500626e-16, 0.0], "color": [0.3992804203467756, 0.07297867702730954, 0.3882229989331877]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [15.424, 10.739999999999998], "center": [0.0, -4.440892098500626e-16], "color": [0.8530597843624502, 0.2906606001840657, 0.1582058040062615]}], "medium": [{"name": "rectangle", "size": [15.424, 10.74], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [34.024, 37.45399999999999], "center": [-2.220446049250313e-16, 8.881784197001252e-16], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.2134208310699277, 0.2114928876461133, 0.02294273639205846]}], "hard": [{"name": "rectangle", "size": [19.510024348568987, 21.478], "center": [-8.326672684688674e-17, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [44.348, 30.324], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}, {"name": "rectangle", "size": [30.848, 21.478], "center": [0.0, 0.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [60.120000000000005, 28.320999999999998], "center": [10.0, 10.0], "color": [0.9970094979583265, 0.60687704440205, 0.9580156516462669]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.848, 21.478], "center": [10.0, 10.0], "color": [0.7127624807817861, 0.6828734754594733, 0.23911062783614268]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_25.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_25.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_25.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_25.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_25.png", "instructions": [["translate", [10, 10]]], "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 right and slightly upward. <shapeB_step_0>\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"}
1steps_hard_all_w_ans_103
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle slightly upward. <shapeB_step_0> 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]]]
hard
{"instance_id": 103, "shape_A": {"name": "triangle", "facecolor": [0.05722612704298535, 0.8298736681966631, 0.937353839509715], "edgecolor": "black", "center": [0.0, 0.0], "size": [22.371869095175686, 56.46881166482237]}, "shape_B": {"name": "rectangle", "facecolor": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.41651252855117, 21.44470148746504]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_103.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_103.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_103.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_103.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_103.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_103.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_103.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [17.39, 19.398], "center": [1.6653345369377348e-16, 0.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.4048613114434265, 0.9456287548311954, 0.44248332928941037]}, {"name": "rectangle", "size": [17.430000000000003, 53.39], "center": [-1.7763568394002505e-15, 0.0], "color": [0.21912192846654388, 0.378445556235397, 0.058050973471158396]}], "medium": [{"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [16.208, 10.722000000000001], "center": [0.0, 0.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [19.224206619239098, 21.444000000000003], "center": [0.0, 0.0], "color": [0.6098141508546776, 0.8791873749108009, 0.5151428299400022]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}], "hard": [{"name": "rectangle", "size": [16.208, 10.721999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [8.622, 28.29], "center": [0.0, 1.1102230246251565e-16], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}, {"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [22.372, 56.468], "center": [5.921189464667501e-16, 10.0], "color": [0.05722612704298535, 0.8298736681966631, 0.937353839509715]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [32.416, 21.444000000000003], "center": [0.0, 10.0], "color": [0.5153423348018777, 0.8121382521119249, 0.3326999319687285]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_103.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_103.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_103.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_103.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_103.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle slightly upward. <shapeB_step_0>\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": "D"}
1steps_hard_all_w_ans_77
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and slightly downward. <shapeB_step_0> 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]]]
hard
{"instance_id": 77, "shape_A": {"name": "ellipse", "facecolor": [0.1493458985082209, 0.002669375180722966, 0.13373432313340528], "edgecolor": "black", "center": [-1.7763568394002506e-16, 7.327471962526033e-16], "size": [33.81016224205581, 21.04670307149107]}, "shape_B": {"name": "hexagon", "facecolor": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.955599391925865, 55.3871737876684]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_77.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_77.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_77.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_77.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_77.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.12882131657953866, 0.8771134627827869, 0.20799123264910058]}, {"name": "hexagon", "size": [31.978, 34.260999999999996], "center": [2.9605947323337506e-16, 0.00033333333333433285], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [55.388000000000005, 63.956], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.6886355916989308, 0.7685835008020164, 0.710005291766658]}], "medium": [{"name": "hexagon", "size": [47.967830133216594, 55.388000000000005], "center": [1.1842378929335002e-15, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [72.838, 73.832], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.22111353370523357, 0.42202687144453677, 0.8998520060223312]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}], "hard": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [31.977999999999998, 27.694000000000003], "center": [5.921189464667501e-16, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-5.921189464667501e-16, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}, {"name": "hexagon", "size": [73.072, 63.956], "center": [1.1842378929335002e-15, 0.0], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.81, 21.046], "center": [-10.0, -10.0], "color": [0.1493458985082209, 0.002669375180722966, 0.13373432313340528]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [63.956, 55.388000000000005], "center": [-10.000000000000002, -10.000000000000002], "color": [0.06405341339992521, 0.44918911788578186, 0.02250580154667181]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_77.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_77.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_77.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_77.png", "instructions": [["translate", [-10, -10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "A"}, "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 slightly downward. <shapeB_step_0>\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": "A"}
1steps_hard_all_w_ans_62
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle to the right by a significant amount and significantly upward. <shapeB_step_0> 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]]]
hard
{"instance_id": 62, "shape_A": {"name": "square", "facecolor": [0.8493065311177832, 0.443452568296118, 0.6997938528842318], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.809069097850557, 31.809069097850557]}, "shape_B": {"name": "triangle", "facecolor": [0.6572032419339301, 0.642241544386433, 0.6813821575526279], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [38.85714867700899, 65.23462242178138]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_62.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_62.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_62.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_62.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_62.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_62.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_62.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [65.234, 38.857], "center": [-1.841, 2.6808333333333336], "color": [0.3163584085101042, 0.27273271883220296, 0.7994532042329561]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.7084294320087983, 0.7965760362365115, 0.9784938128919398]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [21.43, 31.094], "center": [-0.22100000000000009, -1.9666666666666666], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "medium": [{"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [27.096000000000004, 26.928], "center": [-3.8106666666666675, 4.263333333333333], "color": [0.38802397038987735, 0.7604251194731125, 0.9657240405380021]}, {"name": "triangle", "size": [65.23400000000001, 38.857], "center": [1.841, -2.6808333333333336], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "hard": [{"name": "triangle", "size": [38.857, 23.145986847349548], "center": [1.0966020326823436, -1.5969527700278998], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [62.188, 42.86], "center": [-3.933, 0.44200000000000017], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}, {"name": "triangle", "size": [38.857, 65.23400000000001], "center": [2.6808333333333345, 1.841], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.810000000000002, 31.810000000000002], "center": [30.0, 30.0], "color": [0.8493065311177832, 0.443452568296118, 0.6997938528842318]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [38.857, 65.23400000000001], "center": [30.000333333333334, 30.0], "color": [0.6572032419339301, 0.642241544386433, 0.6813821575526279]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_62.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_62.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_62.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_62.png", "instructions": [["translate", [30, 30]]], "correct_answer": {"easy": "C", "medium": "D", "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 significantly upward. <shapeB_step_0>\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"}
1steps_hard_all_w_ans_7
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> 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]]]
hard
{"instance_id": 7, "shape_A": {"name": "hexagon", "facecolor": [0.44238386943908425, 0.21724467789149304, 0.8965929456089817], "edgecolor": "black", "center": [5.921189464667501e-16, -5.921189464667501e-16], "size": [67.21179638859579, 58.20712310651115]}, "shape_B": {"name": "circle", "facecolor": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985], "edgecolor": "black", "center": [-1.2434497875801752e-15, -1.7097434579227411e-15], "size": [63.5153564038313, 63.5153564038313]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_7.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 1. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 1. <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_1_steps/composed_transformation_B_no_7.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_7.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_7.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_7.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_7.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [31.758, 31.758], "center": [4.4408920985006264e-17, 0.00010000000000065512], "color": [0.5683803887729609, 0.3654124628480987, 0.6829420490024262]}, {"name": "circle", "size": [82.814, 87.516], "center": [1.4210854715202005e-15, -1.4210854715202005e-15], "color": [0.9339244016742159, 0.13198288073270203, 0.8608140039367475]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "medium": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.7079006071180983, 0.7014996112238661, 0.16383263093540756]}, {"name": "circle", "size": [39.776, 42.71], "center": [-0.00014999999999876223, 4.440892098500626e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [46.761804541362416, 63.516000000000005], "center": [1.7763568394002506e-16, 1.7763568394002505e-15], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "hard": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-1.7763568394002505e-15, -2.6645352591003756e-16], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [92.604, 94.31299999999999], "center": [4.7073456244106636e-15, -0.000525000000001441], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}, {"name": "circle", "size": [78.96, 75.554], "center": [-0.00032499999999817674, -0.00032500000000177385], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [67.212, 58.208], "center": [-30.0, 29.999999999999996], "color": [0.44238386943908425, 0.21724467789149304, 0.8965929456089817]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [63.516000000000005, 63.516000000000005], "center": [-30.000000000000007, 30.000000000000007], "color": [0.29925532741195926, 0.3827210498859024, 0.8133679237451985]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_7.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_7.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_7.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_7.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_7.png", "instructions": [["translate", [-30, 30]]], "correct_answer": {"easy": "C", "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\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"}
2steps_easy_all_81
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the square a little to the left 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.
C
[['rotate', 30], ['translate', [-10, 30]]]
easy
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.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_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left 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": "C", "medium": "C", "hard": "D"}
2steps_easy_all_14
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0> - Shift the pentagon to the left by a significant amount and slightly 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
[['translate', [-30, -30]], ['translate', [-30, -10]]]
easy
{"instance_id": 14, "shape_A": {"name": "hexagon", "facecolor": [0.8671389723518831, 0.6479406086588688, 0.95739164910812], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.25937346695748, 58.24832606501022]}, "shape_B": {"name": "pentagon", "facecolor": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [56.18568847166277, 59.077128970772904]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_14.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_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_14.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [68.395, 77.165], "center": [3.1387000000000014, 0.9262999999999991], "color": [0.09820240138037195, 0.7255892573341403, 0.48719041013374853]}, {"name": "pentagon", "size": [29.538, 28.093], "center": [-3.552713678800501e-16, 1.4827], "color": [0.3308509316827234, 0.12821514659595157, 0.6554729806969527]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "medium": [{"name": "pentagon", "size": [32.506, 35.007999999999996], "center": [0.7238, 0.33600000000000063], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.4146136850951062, 0.3302247652430509, 0.11333869756398085]}, {"name": "pentagon", "size": [68.628, 73.974], "center": [-3.0588000000000006, 1.9782000000000004], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [67.26, 58.248000000000005], "center": [-30.0, -30.0], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}, {"name": "hexagon", "size": [67.25999999999999, 58.248], "center": [-60.0, -39.99999999999999], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [56.186, 59.078], "center": [-29.999800000000004, -30.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and slightly 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": "D"}
2steps_easy_all_116
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0> - Reduce the size of the rectangle, 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.
D
[['rotate', -90], ['scale', 0.5]]
easy
{"instance_id": 116, "shape_A": {"name": "hexagon", "facecolor": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.46649890873571, 54.96360034422247]}, "shape_B": {"name": "rectangle", "facecolor": [0.9984367810079988, 0.43255898543761095, 0.767455259870214], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.04667739523437, 20.34563245259622]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_116.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_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [30.046000000000003, 20.345999999999997], "center": [-1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.2698497153897096, 0.8506154747557466, 0.04289290810317403]}, {"name": "rectangle", "size": [40.184, 28.712000000000003], "center": [0.0, 4.440892098500626e-16], "color": [0.24819004614536366, 0.4136054076086292, 0.2215600510211484]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "hard": [{"name": "rectangle", "size": [23.006, 19.16], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [32.644000000000005, 36.194], "center": [-8.881784197001252e-16, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.964, 63.466], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}, {"name": "hexagon", "size": [27.482, 31.732], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_116.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the rectangle, 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": "D", "hard": "D"}
2steps_easy_all_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']]
easy
{"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_easy_all_86
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and significantly downward. <shapeB_step_0> - Shift the circle to the left by a significant amount and slightly 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.
A
[['translate', [10, -30]], ['translate', [-30, -10]]]
easy
{"instance_id": 86, "shape_A": {"name": "triangle", "facecolor": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.7763568394002505e-15], "size": [23.110022771055725, 57.89494049246858]}, "shape_B": {"name": "circle", "facecolor": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239], "edgecolor": "black", "center": [-1.2434497875801752e-15, 1.7763568394002506e-16], "size": [69.31820306124776, 69.31820306124776]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_86.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_86.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_86.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [1.2434497875801752e-15, 8.881784197001253e-17], "color": [0.6521310465039827, 0.5956464294000907, 0.4605791410599981]}, {"name": "circle", "size": [95.82, 83.206], "center": [-1.9539925233402757e-15, -4.440892098500626e-15], "color": [0.6595304637060485, 0.5009748399904048, 0.3584993605885254]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "medium": [{"name": "circle", "size": [45.683, 48.22], "center": [-0.0002999999999977465, -2.4999999997987742e-05], "color": [0.1760972106755182, 0.03427483895444505, 0.47916740886305564]}, {"name": "circle", "size": [35.556, 34.66], "center": [0.00015000000000036094, 0.00017499999999999184], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "hard": [{"name": "circle", "size": [41.648, 42.792], "center": [0.00020000000000015562, -0.00022499999999867626], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [-1.7763568394002506e-16, 4.4408920985006264e-17], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [23.11, 57.894999999999996], "center": [9.999666666666668, -30.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}, {"name": "triangle", "size": [23.11, 57.894999999999996], "center": [-20.000333333333334, -40.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [10.0, -29.999999999999993], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_86.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_86.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_86.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "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 significantly downward. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly 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": "A", "medium": "C", "hard": "B"}
2steps_easy_all_11
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> - 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
[['translate', [10, 30]], ['scale', 0.5]]
easy
{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046], "edgecolor": "black", "center": [-4.440892098500626e-16, 2.7755575615628914e-17], "size": [34.59015534670558, 23.523169726100182]}, "shape_B": {"name": "triangle", "facecolor": [0.740944798920008, 0.7594932952262566, 0.8671889705502257], "edgecolor": "black", "center": [2.3684757858670005e-15, -5.921189464667501e-16], "size": [52.975039803812166, 46.93491895097725]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_11.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_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.2143185873114406, 0.22135107701554813, 0.2251120409197751]}, {"name": "triangle", "size": [15.331, 31.392000000000003], "center": [-0.07583333333333186, 3.575000000000001], "color": [0.04965104284068489, 0.8538213265855465, 0.7798301351436794]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "medium": [{"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.7127404881047043, 0.709368196448239, 0.2753785582170396]}, {"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "hard": [{"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.59, 23.524], "center": [10.000000000000002, 30.000000000000007], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}, {"name": "ellipse", "size": [17.294999999999998, 11.762], "center": [10.000024999999999, 30.00015], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [52.975, 46.935], "center": [10.000333333333334, 30.0], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_11.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "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 right and significantly upward. <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": "A", "medium": "D", "hard": "D"}
2steps_easy_all_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.
D
[['translate', [-30, 10]], ['rotate', -60]]
easy
{"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_easy_all_54
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0> - Shift the hexagon to the left 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.
B
[['rotate', -30], ['translate', [-30, 30]]]
easy
{"instance_id": 54, "shape_A": {"name": "triangle", "facecolor": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [19.810842699890337, 56.45566140335922]}, "shape_B": {"name": "hexagon", "facecolor": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571], "edgecolor": "black", "center": [0.0, 0.0], "size": [61.61899126996609, 53.363611795362175]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_54.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_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [61.617999999999995, 53.364000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [26.682000000000002, 30.810000000000002], "center": [0.0, -5.921189464667501e-16], "color": [0.9688390034529459, 0.41768404723282604, 0.9697124653116701]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.05587708478340869, 0.4058628049282732, 0.8847980973763346]}], "medium": [{"name": "hexagon", "size": [30.810000000000002, 26.682000000000002], "center": [-8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [61.618, 53.364], "center": [-5.921189464667501e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.7858304635505055, 0.6654645959842609, 0.9196351530309665]}], "hard": [{"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 47.70006154045896], "center": [1.1842378929335002e-15, 2.3684757858670005e-15], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [30.81, 26.682000000000002], "center": [0.0, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [42.733000000000004, 44.266], "center": [0.0, 0.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}, {"name": "triangle", "size": [42.733000000000004, 44.266000000000005], "center": [-30.0, 30.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_54.png", "instructions": [["rotate", -30], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left 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": "C", "hard": "A"}
2steps_easy_all_117
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0> - Reduce the size of the hexagon, 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
[['translate', [30, -30]], ['scale', 0.5]]
easy
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [-2.220446049250313e-16, -1.3988810110276972e-15], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87508092385881, 53.58539194127964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_117.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_117.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.9952458958033793, 0.43834090334037057, 0.0007170637618100217]}, {"name": "hexagon", "size": [53.586, 61.876000000000005], "center": [0.0, -5.921189464667501e-16], "color": [0.03433766741658173, 0.5310529134625389, 0.5349079969643663]}], "medium": [{"name": "hexagon", "size": [10.894293268075252, 26.792000000000005], "center": [-2.220446049250313e-16, -5.181040781584064e-16], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "hard": [{"name": "hexagon", "size": [65.422, 82.538], "center": [3.7007434154171886e-16, -1.1842378929335002e-15], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.001999999999995, 22.218000000000004], "center": [30.00000000000001, -29.999999999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}, {"name": "ellipse", "size": [16.0, 11.109000000000002], "center": [30.00014999999999, -29.999774999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "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 right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, 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": "A", "medium": "D", "hard": "B"}
2steps_easy_all_27
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the left by a significant amount. <shapeB_step_0> - Shift the pentagon to the left 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', [-30, 0]], ['translate', [-30, 30]]]
easy
{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.695084533859536, 34.695084533859536]}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [59.73683176822594, 62.81102199996603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_27.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_27.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_27.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [73.94800000000001, 69.25999999999999], "center": [-0.14180000000000065, 3.2359999999999984], "color": [0.18502802264390872, 0.86235217136227, 0.18885992146773622]}, {"name": "pentagon", "size": [35.992000000000004, 32.518], "center": [1.4848000000000003, 1.4091999999999998], "color": [0.4905183832597364, 0.729479992243697, 0.6475642717036921]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "medium": [{"name": "pentagon", "size": [75.02099999999999, 69.733], "center": [0.5855000000000004, 1.8445], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [30.652, 32.846000000000004], "center": [-1.4310000000000003, 0.5589999999999989], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.9576157713949134, 0.9209041007619821, 0.0595773898911619]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.696, 34.696], "center": [-30.0, 0.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}, {"name": "square", "size": [34.696, 34.696], "center": [-60.0, 30.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.737, 62.812], "center": [-30.0, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_27.png", "instructions": [["translate", [-30, 0]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the left 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": "D", "medium": "D"}
2steps_easy_all_29
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> - 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.
B
[['rotate', -60], ['rotate', 90]]
easy
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.06667766630173, 59.81349741400862]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_29.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_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.9695415308611851, 0.5831588581279402, 0.4883073409886549]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [79.582, 82.294], "center": [-8.881784197001252e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.534000000000006, 29.906], "center": [1.7763568394002505e-15, 0.0], "color": [0.24751042926734867, 0.10938599739355226, 0.8189264388188036]}], "medium": [{"name": "hexagon", "size": [81.794, 84.926], "center": [0.0, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.533, 29.908], "center": [0.00033333333333285253, 0.0], "color": [0.049902046109985276, 0.1377187844382094, 0.8787220961098785]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "hard": [{"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [29.906000000000002, 34.534], "center": [1.1842378929335002e-15, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.81399999999999, 51.80138702111024], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.736, 37.646], "center": [-3.3306690738754696e-16, 0.0], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}, {"name": "rectangle", "size": [37.646, 34.736], "center": [0.0, -3.3306690738754696e-16], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "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- 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": "B", "medium": "C", "hard": "A"}
2steps_easy_all_102
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 slightly 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.
A
[['translate', [30, 10]], ['translate', [0, -10]]]
easy
{"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.7118055904962444], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.62723258064484, 32.546004957385094]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_102.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_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_102.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_102.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [16.273000000000003, 30.313999999999997], "center": [-1.7348333333333332, 3.5060000000000016], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.7765232358157869, 0.43092578237318613, 0.26350739318181027]}, {"name": "triangle", "size": [48.529, 56.184], "center": [-5.280833333333333, -0.3200000000000001], "color": [0.22099686669935337, 0.9016378822168126, 0.9301292163785994]}], "medium": [{"name": "triangle", "size": [36.98594075805096, 32.54599999999999], "center": [-0.7585593751921778, 0.18780515753438684], "color": [0.622487038101449, 0.3362118742445869, 0.8307795328164884]}, {"name": "triangle", "size": [30.314, 16.273], "center": [-3.5060000000000002, -1.7348333333333354], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "hard": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [28.63949368641316, 32.546], "center": [0.1651683863674629, 0.6675229453784546], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [17.471746709332628, 32.546], "center": [-1.8626294219201884, 3.7642686636096685], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 10.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}, {"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 0.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 10.000333333333334], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_102.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_102.png", "instructions": [["translate", [30, 10]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "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 slightly 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": "A", "medium": "C", "hard": "D"}
2steps_easy_all_71
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> 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]]]
easy
{"instance_id": 71, "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_2_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_71.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_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [78.186, 80.882], "center": [-8.881784197001253e-17, -5.329070518200751e-16], "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": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.01909331303423989, 0.9831039299064597, 0.40179533827613945]}, {"name": "circle", "size": [68.888, 74.749], "center": [1.2434497875801752e-15, -0.0001249999999992202], "color": [0.2560945549589283, 0.7385353415371732, 0.5663898001735471]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.267622688217965, 0.7454231087454316, 0.7296825037169442]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.396, 34.186], "center": [0.00017500000000101324, -7.499999999970308e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [77.942, 70.58], "center": [0.00017500000000101324, -8.881784197001253e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "hard": [{"name": "circle", "size": [40.824, 44.812], "center": [6.217248937900876e-16, -5.0000000000594016e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.552713678800501e-16, 1.7763568394002506e-16], "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": [-6.217248937900876e-16, -8.881784197001252e-16], "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]}], "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]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "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 downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly 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": "B", "medium": "B", "hard": "C"}
2steps_easy_all_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]]
easy
{"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_easy_all_83
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> - Reduce the size of the hexagon, 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.
D
[['rotate', 30], ['scale', 0.5]]
easy
{"instance_id": 83, "shape_A": {"name": "square", "facecolor": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.17672188229552, 34.17672188229552]}, "shape_B": {"name": "hexagon", "facecolor": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.59823408801311, 59.407813374971]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_83.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_83.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_83.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.598, 59.408], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.04773867957137401, 0.1230693381260829, 0.3330258924025967]}, {"name": "hexagon", "size": [86.79400000000001, 72.872], "center": [0.0, 0.0], "color": [0.25226113544660544, 0.45485415949529595, 0.2287161854393761]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "medium": [{"name": "hexagon", "size": [75.148, 70.57400000000001], "center": [-5.921189464667501e-16, 2.3684757858670005e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [68.59800000000001, 59.408], "center": [-4.144832625267251e-15, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.7497046666984698, 0.9401172130049587, 0.46001191863997726]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [46.686, 46.686], "center": [0.0, 2.220446049250313e-16], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}, {"name": "square", "size": [23.344, 23.344], "center": [0.0, 0.00025000000000030553], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_83.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_83.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "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- Reduce the size of the hexagon, 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": "D", "medium": "C"}
2steps_easy_all_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.
B
[['translate', [30, -10]], ['translate', [10, 30]]]
easy
{"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_easy_all_107
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left. <shapeB_step_0> - Rotate the circle by 30 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.
C
[['translate', [-10, 0]], ['rotate', 30]]
easy
{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [-1.7763568394002506e-16, -1.9984014443252818e-16], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789532, 0.739848035268453, 0.27790397963115987], "edgecolor": "black", "center": [2.4868995751603505e-15, -1.5321077739827161e-15], "size": [65.96650335272558, 65.96650335272558]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_107.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_107.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_107.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.832, 76.394], "center": [-1.3322676295501878e-15, -0.00015000000000160442], "color": [0.8432780839676276, 0.7868459657567801, 0.4661218588678179]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.960540391190263, 0.03953837598150145, 0.7093700706863554]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [45.537, 42.689], "center": [0.0001499999999991175, -0.0003999999999985349], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "medium": [{"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [100.0, 86.5940601859146], "center": [-2.1316282072803005e-15, 3.552713678800501e-16], "color": [0.6344073530297935, 0.47058207938789454, 0.4456150952095499]}, {"name": "circle", "size": [88.923, 81.892], "center": [0.0005250000000016186, 4.99999999980183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "hard": [{"name": "circle", "size": [69.40100000000001, 75.604], "center": [-2.4999999996211385e-05, 0.0001249999999988205], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [35.16, 33.398], "center": [7.993605777301127e-16, -3.9968028886505636e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.034, 22.144], "center": [-9.999999999999998, 3.7192471324942745e-16], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}, {"name": "ellipse", "size": [31.454, 25.594], "center": [-9.999999999999998, 1.3322676295501878e-15], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [65.966, 65.966], "center": [-10.0, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_107.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_107.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_107.png", "instructions": [["translate", [-10, 0]], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "B", "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 left. <shapeB_step_0>\n- Rotate the circle by 30 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": "C", "medium": "B", "hard": "D"}
2steps_easy_all_113
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0> - Rotate the triangle by 30 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.
C
[['rotate', -90], ['rotate', -30]]
easy
{"instance_id": 113, "shape_A": {"name": "rectangle", "facecolor": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.868187468576263, 21.258376675122513]}, "shape_B": {"name": "triangle", "facecolor": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [14.163207897571025, 60.26182739498849]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_113.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_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.9174013412547419, 0.8976848217443251, 0.048716666844519474]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [58.44800000000001, 56.611999999999995], "center": [-7.453999999999998, 6.498999999999999], "color": [0.9578606371994135, 0.812767027978977, 0.5577051205301008]}], "medium": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.42071836245344063, 0.7434459968681485, 0.3892564707564702]}, {"name": "triangle", "size": [20.097, 32.805], "center": [0.27383333333333315, -5.337833333333333], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "hard": [{"name": "triangle", "size": [7.299366997444494, 31.058000000000007], "center": [0.4778457789873111, 4.215316152799443], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [21.258, 30.868], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}, {"name": "rectangle", "size": [33.844, 37.362], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.262, 14.163], "center": [0.0, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_113.png", "instructions": [["rotate", -90], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 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": "C", "medium": "D", "hard": "B"}
2steps_easy_all_57
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0> - Shift the hexagon a little to the left 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.
B
[['translate', [-10, 30]], ['translate', [-10, 30]]]
easy
{"instance_id": 57, "shape_A": {"name": "square", "facecolor": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.647300805864646, 32.647300805864646]}, "shape_B": {"name": "hexagon", "facecolor": [0.396029667470992, 0.8729681752351013, 0.003848845673840251], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.17929849344874, 55.58090289239097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_57.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_57.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_57.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.0008204800870083018, 0.07438559226596286, 0.15505254018175607]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, -0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.43405344003550683, 0.3047027957821804, 0.776971482550056]}], "medium": [{"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.006273944935232811, 0.8988539571637837, 0.5382262656289836]}], "hard": [{"name": "hexagon", "size": [48.132383920224356, 55.58000000000001], "center": [2.3684757858670005e-15, -5.921189464667501e-16], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.790000000000003, 32.09], "center": [-1.1842378929335002e-15, 0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.648, 32.647999999999996], "center": [-10.0, 30.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}, {"name": "square", "size": [32.647999999999996, 32.647999999999996], "center": [-20.0, 60.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [64.18, 55.58], "center": [-10.000000000000002, 30.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_57.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_57.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_57.png", "instructions": [["translate", [-10, 30]], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "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 left and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left 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": "A", "hard": "D"}
2steps_easy_all_105
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <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.
A
[['scale', 0.5], ['translate', [-30, -30]]]
easy
{"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.71771346058608, 56.9132093354941]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_105.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_105.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_105.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 56.914], "center": [1.7763568394002505e-15, 0.0], "color": [0.9588480152231209, 0.10518122138953323, 0.3358515532821599]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.13413166029498458, 0.3856971748659048, 0.1294421693752802]}, {"name": "hexagon", "size": [56.912, 65.716], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "medium": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 58.91], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, 1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.4511268333137989, 0.23875806759160678, 0.8633164017267867]}], "hard": [{"name": "hexagon", "size": [65.716, 56.912000000000006], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, -1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [33.032, 33.032], "center": [-8.881784197001253e-17, -9.43689570931383e-16], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}, {"name": "circle", "size": [33.032, 33.032], "center": [-29.99999999999999, -30.0], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_105.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_105.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_105.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_105.png", "instructions": [["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "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- 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": "A", "medium": "A", "hard": "B"}
2steps_easy_all_115
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0> - Rotate the rectangle by 60 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.
B
[['translate', [-10, -10]], ['rotate', 60]]
easy
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.654204961769885, 22.17193081035603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_115.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_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.8843106463953841, 0.3845919597765035, 0.992382997611231]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [18.818, 17.264], "center": [0.0, 0.0], "color": [0.9544484660995831, 0.06595671535255854, 0.08502888533807029]}], "medium": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.172, 30.653999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.7311612379427683, 0.6841534816362329, 0.06681407266419448]}], "hard": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.171999999999997, 30.656], "center": [0.0, 0.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.351999999999997, 30.351999999999997], "center": [-10.0, -9.999999999999998], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}, {"name": "square", "size": [41.462, 41.462], "center": [-10.0, -10.0], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "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 slightly downward. <shapeB_step_0>\n- Rotate the rectangle by 60 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": "B", "medium": "B", "hard": "B"}
2steps_easy_all_0
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Reduce the size of the circle, making it smaller. <shapeB_step_0> - Shift the circle to the right by a significant amount. <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
[['scale', 0.5], ['translate', [30, 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_2_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_0.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_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.28999999999999, 66.982], "center": [8.881784197001252e-16, -1.865174681370263e-15], "color": [0.38012622503916615, 0.4534103023684355, 0.8341104266407503]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.1626540971560848, 0.3552707002275215, 0.6701751743776934]}], "medium": [{"name": "circle", "size": [43.34, 41.682], "center": [-5.000000000072724e-05, -0.00015000000000080503], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [78.344, 75.52600000000001], "center": [1.7763568394002505e-15, 1.9539925233402757e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [30.0002, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["translate", [30, 0]]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the right by a significant amount. <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": "C"}
2steps_easy_all_43
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 a little to the right and slightly 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', [10, -10]]]
easy
{"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.672575199287046, 30.672575199287046]}, "shape_B": {"name": "hexagon", "facecolor": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.99593641122776, 54.55608126731234]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_43.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_43.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_43.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.22925712689524536, 0.8125995484455614, 0.26614010120702536]}, {"name": "hexagon", "size": [54.556, 62.996], "center": [0.0, 5.921189464667501e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [31.498, 30.772], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5202618667015605, 0.5549973315285789, 0.6771417448734178]}], "medium": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [47.24676385802273, 54.556], "center": [0.0, 8.881784197001252e-16], "color": [0.08263260638681347, 0.19042201698407435, 0.953088654617766]}, {"name": "hexagon", "size": [54.556, 62.995999999999995], "center": [0.0, 2.9605947323337506e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}], "hard": [{"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [54.556, 62.995999999999995], "center": [0.0, -8.881784197001252e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [27.278, 31.497999999999998], "center": [0.0, -2.9605947323337506e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [41.9, 41.9], "center": [2.220446049250313e-16, 0.0], "color": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364]}, {"name": "square", "size": [41.9, 41.9], "center": [10.0, -10.0], "color": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_43.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_43.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_43.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_43.png", "instructions": [["rotate", -60], ["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "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 a little to the right and slightly 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": "C", "medium": "B", "hard": "A"}
2steps_easy_all_85
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0> - Shift the circle to the right by a significant amount and slightly 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.
A
[['rotate', -90], ['translate', [30, -10]]]
easy
{"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.94327130306716, 59.70662436845885]}, "shape_B": {"name": "circle", "facecolor": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732], "edgecolor": "black", "center": [0.0, -7.993605777301127e-16], "size": [69.7448625316478, 69.7448625316478]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_85.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_85.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_85.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [97.499, 92.148], "center": [2.5000000002783907e-05, -2.1316282072803005e-15], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.08452857820564808, 0.9574650918575381, 0.9229525687559261]}, {"name": "circle", "size": [34.872, 34.872], "center": [0.0, -5.329070518200751e-16], "color": [0.7818901210993182, 0.2309288833517681, 0.5954327714478571]}], "medium": [{"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.16358390568133163, 0.5752085636459588, 0.6373714599188945]}, {"name": "circle", "size": [74.674, 80.35], "center": [-1.4210854715202005e-15, -1.1102230246251565e-15], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 56.69812854181064], "center": [-2.6645352591003756e-16, -8.881784197001253e-17], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}], "hard": [{"name": "circle", "size": [34.872, 34.872], "center": [0.0, 4.999999999970584e-05], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 14.338679030335145], "center": [-6.306066779870889e-15, 7.771561172376095e-17], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [59.706, 68.944], "center": [0.0, 1.1842378929335002e-15], "color": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597]}, {"name": "hexagon", "size": [59.706, 68.944], "center": [30.0, -10.0], "color": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_85.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_85.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_85.png", "instructions": [["rotate", -90], ["translate", [30, -10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly 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": "A", "medium": "A", "hard": "D"}
2steps_easy_all_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.
C
[['rotate', 60], ['translate', [30, 10]]]
easy
{"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_easy_all_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.
C
[['translate', [10, -30]], ['translate', [-10, 0]]]
easy
{"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_easy_all_48
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the right by a significant amount. <shapeB_step_0> - Shift the square a little to the right and slightly 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
[['translate', [30, 0]], ['translate', [10, -10]]]
easy
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.18136031751098, 31.18136031751098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_48.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_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.2538962481737801, 0.810763463028352, 0.7749309576907558]}, {"name": "square", "size": [42.596000000000004, 42.596000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.9418983460930013, 0.5710437173591865, 0.2610379298436133]}, {"name": "square", "size": [21.296, 21.296], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "medium": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.594, 42.594], "center": [2.220446049250313e-16, 0.0], "color": [0.77922051345454, 0.7297668452697064, 0.5868795122897497]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [21.298, 21.298], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "hard": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.593999999999994, 42.593999999999994], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [15.59, 15.590000000000003], "center": [0.0, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [30.0, -3.219646771412954e-16], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}, {"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [40.0, -10.0], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [30.000000000000004, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_48.png", "instructions": [["translate", [30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "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. <shapeB_step_0>\n- Shift the square a little to the right and slightly 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": "A", "hard": "A"}
2steps_easy_all_12
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 horizontal line y = 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.
D
[['translate', [-30, -10]], ['flip', 'horizontal']]
easy
{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [-3.108624468950438e-16, -2.220446049250313e-16], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.926054528488564, 33.926054528488564]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_12.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_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.019124733123319415, 0.22432136332369457, 0.9848795244932604]}, {"name": "square", "size": [46.343999999999994, 46.343999999999994], "center": [0.0, -1.3322676295501878e-15], "color": [0.1648835088914956, 0.9068942361936375, 0.8120083168401692]}, {"name": "square", "size": [23.172, 23.172], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}], "medium": [{"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [46.343999999999994, 46.343999999999994], "center": [0.0, 1.7763568394002505e-15], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [23.171999999999997, 23.171999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.9068800442697921, 0.8352321652632412, 0.66902193050164]}], "hard": [{"name": "square", "size": [23.172, 23.172], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [46.343999999999994, 46.344], "center": [-1.3322676295501878e-15, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.147999999999996, 22.146], "center": [-30.0, -10.0], "color": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799]}, {"name": "ellipse", "size": [32.147999999999996, 22.146], "center": [-30.0, 10.0], "color": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799]}], "tranformed_B_sequence_info": [{"name": "square", "size": [33.926, 33.926], "center": [-30.0, -10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_12.png", "instructions": [["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "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 horizontal line y = 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": "D", "medium": "C", "hard": "C"}
2steps_easy_all_45
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the right by a significant amount. <shapeB_step_0> - Shift the hexagon a little to the left and slightly 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
[['translate', [30, 0]], ['translate', [-10, -10]]]
easy
{"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [-6.217248937900876e-16, 5.10702591327572e-16], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.47431715468095, 59.30049816274628]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_45.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_45.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_45.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [59.3, 68.47399999999999], "center": [0.0, -5.921189464667501e-16], "color": [0.6911077774611649, 0.018054176909342745, 0.8222568634710554]}, {"name": "hexagon", "size": [34.236, 29.650000000000002], "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.12413712630719198, 0.10247473915685523, 0.3705628249908528]}], "medium": [{"name": "hexagon", "size": [86.81, 73.448], "center": [-5.921189464667501e-16, 0.0], "color": [0.5653398715178964, 0.29440750197524845, 0.7722995020481823]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [59.3, 68.474], "center": [0.0, -1.1842378929335002e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}], "hard": [{"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [34.236, 29.65], "center": [0.00033333333333403675, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [51.35511288956393, 59.3], "center": [2.3684757858670005e-15, 1.7763568394002505e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.86, 22.426], "center": [30.0, -1.2212453270876723e-16], "color": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219]}, {"name": "ellipse", "size": [32.86, 22.426000000000002], "center": [20.000000000000004, -9.999999999999998], "color": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [30.0, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_45.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_45.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_45.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_45.png", "instructions": [["translate", [30, 0]], ["translate", [-10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Shift the hexagon a little to the left and slightly 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": "C", "medium": "B", "hard": "A"}
2steps_easy_all_33
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0> - Reduce the size of the circle, 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.
B
[['rotate', -90], ['scale', 0.5]]
easy
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713], "edgecolor": "black", "center": [-8.881784197001252e-16, 3.9968028886505636e-16], "size": [69.2744055119709, 69.2744055119709]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_33.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_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [83.559, 86.345], "center": [2.4999999998609468e-05, 0.0003500000000006942], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.06372245856662295, 0.2878313118827638, 0.7120336041548561]}, {"name": "circle", "size": [94.436, 83.06], "center": [-3.552713678800501e-16, 2.6645352591003757e-15], "color": [0.8269749765146087, 0.5879141645190475, 0.6347726627828982]}], "medium": [{"name": "circle", "size": [91.646, 89.792], "center": [-8.881784197001252e-16, 1.4210854715202005e-15], "color": [0.10362301130580698, 0.8470703830011121, 0.7579404251667007]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [143.6716905036659, 158.0], "center": [-1.2434497875801752e-15, -2.842170943040401e-15], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "hard": [{"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [75.968, 78.788], "center": [1.7763568394002506e-16, 4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 20.740533203903695], "center": [-2.531308496145357e-15, -8.881784197001253e-17], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.344, 66.095], "center": [0.0003333333333337407, 0.0], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}, {"name": "triangle", "size": [16.172, 33.047], "center": [0.0006666666666662971, 0.0003333333333331486], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_33.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, 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": "B", "hard": "A"}
2steps_easy_all_5
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the right by a significant amount. <shapeB_step_0> - Reduce the size of the hexagon, 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
[['translate', [30, 0]], ['scale', 0.5]]
easy
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.661338147750939e-17], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.13068121064678, 57.270849897990374]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_5.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_5.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_5.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [-5.921189464667501e-16, 0.0], "color": [0.6290252411453636, 0.6197358055010894, 0.8411671249582643]}, {"name": "hexagon", "size": [66.13, 57.27], "center": [0.0, 0.0], "color": [0.14777570830033182, 0.6807268950506788, 0.03157051334209937]}, {"name": "hexagon", "size": [57.27, 66.13], "center": [0.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}], "medium": [{"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [-5.921189464667501e-16, 0.0], "color": [0.1005449047773479, 0.7707660580982791, 0.00518144640713003]}, {"name": "hexagon", "size": [45.12, 83.858], "center": [5.921189464667501e-16, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [66.13, 57.27], "center": [0.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.578, 21.64], "center": [30.0, 4.4408920985006264e-17], "color": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653]}, {"name": "ellipse", "size": [16.287999999999997, 10.82], "center": [30.00005000000001, 1.8596235662471373e-16], "color": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [66.13, 57.27], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_5.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_5.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_5.png", "instructions": [["translate", [30, 0]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Reduce the size of the hexagon, 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": "A", "medium": "C"}
2steps_easy_all_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.
B
[['rotate', 30], ['scale', 0.5]]
easy
{"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_easy_all_15
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon a little to the right and slightly upward. <shapeB_step_0> - Reduce the size of the pentagon, 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.
D
[['translate', [10, 10]], ['scale', 0.5]]
easy
{"instance_id": 15, "shape_A": {"name": "square", "facecolor": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.56643343555589, 32.56643343555589]}, "shape_B": {"name": "pentagon", "facecolor": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [58.64498333119238, 61.66298461383164]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_15.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_15.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_15.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [58.644999999999996, 61.662000000000006], "center": [-3.0954999999999995, 0.0], "color": [0.09300943016209173, 0.6736979167818138, 0.8210746894925302]}, {"name": "pentagon", "size": [36.303, 90.241], "center": [-0.6734999999999989, 1.6595], "color": [0.009723191714424928, 0.8321770449232286, 0.24825760936207752]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [-1.5476999999999996, -0.00019999999999988915], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [9.999800000000002, 9.999799999999999], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.566, 32.566], "center": [10.0, 10.0], "color": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359]}, {"name": "square", "size": [16.284, 16.284], "center": [9.999999999999998, 10.0], "color": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [58.644999999999996, 61.662000000000006], "center": [10.0, 9.999999999999996], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [9.999800000000002, 9.999799999999999], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_15.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_15.png", "instructions": [["translate", [10, 10]], ["scale", 0.5]], "correct_answer": {"easy": "D"}, "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 slightly upward. <shapeB_step_0>\n- Reduce the size of the pentagon, 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": "D"}
2steps_easy_all_46
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 a little to the right 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', [10, -30]]]
easy
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426], "edgecolor": "black", "center": [-1.0658141036401502e-15, 2.6645352591003756e-16], "size": [64.9209410492322, 64.9209410492322]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_46.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_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.07859458478485915, 0.16338281333792537, 0.37982954913839717]}, {"name": "circle", "size": [75.24, 72.574], "center": [-5.329070518200751e-16, -1.5099033134902129e-15], "color": [0.21887107007457074, 0.4218995588866843, 0.8251673691965223]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [45.668, 40.374], "center": [-0.00017500000000199024, 2.4999999999808507e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "medium": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.8766430624945868, 0.8480760717041813, 0.17721660840147546]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [32.786, 34.498], "center": [-2.6645352591003756e-16, -7.993605777301127e-16], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [74.028, 84.037], "center": [-0.00024999999999835153, 0.00022499999999858744], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "hard": [{"name": "circle", "size": [80.13499999999999, 78.74], "center": [-0.000549999999998807, 5.0000000000594016e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [35.312, 36.268], "center": [-2.5000000001274003e-05, -0.0001749999999993701], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [35.17, 38.996], "center": [3.3306690738754696e-16, 0.0], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}, {"name": "rectangle", "size": [35.17, 38.995999999999995], "center": [10.0, -29.999999999999996], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_46.png", "instructions": [["rotate", -60], ["translate", [10, -30]]], "correct_answer": {"easy": "C", "medium": "B", "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 clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the right 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": "C", "medium": "B", "hard": "D"}
2steps_easy_all_72
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the left and slightly downward. <shapeB_step_0> - Shift the ellipse a little to the right and slightly 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
[['translate', [-10, -10]], ['translate', [10, -10]]]
easy
{"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "edgecolor": "black", "center": [-2.6645352591003756e-16, -9.93649607039515e-16], "size": [33.35649907947214, 22.428317324717842]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_72.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_72.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_72.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_72.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_72.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_72.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_72.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.9963587756109145, 0.30345511366585054, 0.4639304479137577]}, {"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [4.440892098500626e-16, 5.329070518200751e-16], "color": [0.6818451680946132, 0.9262228298753192, 0.816913366438626]}, {"name": "ellipse", "size": [25.528, 30.938], "center": [4.4408920985006264e-17, 7.549516567451064e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "medium": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.08240117073119624, 0.33551543368246395, 0.33149624654203025]}, {"name": "ellipse", "size": [18.506108475014543, 22.427999999999997], "center": [-4.440892098500626e-16, 2.842170943040401e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [15.47, 12.764], "center": [-3.108624468950438e-16, 3.3306690738754696e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "hard": [{"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [1.3322676295501878e-16, -1.021405182655144e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [18.504912217194565, 22.427999999999997], "center": [-6.661338147750939e-16, 4.440892098500626e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.988, 30.988], "center": [-10.0, -10.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}, {"name": "square", "size": [30.988, 30.988], "center": [0.0, -20.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-10.0, -10.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_72.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_72.png", "instructions": [["translate", [-10, -10]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "C", "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 left and slightly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right and slightly 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": "C", "hard": "D"}
2steps_easy_all_w_ans_81
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the square a little to the left 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.
C
[['rotate', 30], ['translate', [-10, 30]]]
easy
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.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_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left 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": "C", "medium": "C", "hard": "D"}
2steps_easy_all_w_ans_14
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0> - Shift the pentagon to the left by a significant amount and slightly 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
[['translate', [-30, -30]], ['translate', [-30, -10]]]
easy
{"instance_id": 14, "shape_A": {"name": "hexagon", "facecolor": [0.8671389723518831, 0.6479406086588688, 0.95739164910812], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.25937346695748, 58.24832606501022]}, "shape_B": {"name": "pentagon", "facecolor": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [56.18568847166277, 59.077128970772904]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_14.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_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_14.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [68.395, 77.165], "center": [3.1387000000000014, 0.9262999999999991], "color": [0.09820240138037195, 0.7255892573341403, 0.48719041013374853]}, {"name": "pentagon", "size": [29.538, 28.093], "center": [-3.552713678800501e-16, 1.4827], "color": [0.3308509316827234, 0.12821514659595157, 0.6554729806969527]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "medium": [{"name": "pentagon", "size": [32.506, 35.007999999999996], "center": [0.7238, 0.33600000000000063], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.4146136850951062, 0.3302247652430509, 0.11333869756398085]}, {"name": "pentagon", "size": [68.628, 73.974], "center": [-3.0588000000000006, 1.9782000000000004], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [67.26, 58.248000000000005], "center": [-30.0, -30.0], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}, {"name": "hexagon", "size": [67.25999999999999, 58.248], "center": [-60.0, -39.99999999999999], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [56.186, 59.078], "center": [-29.999800000000004, -30.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and slightly 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": "D"}
2steps_easy_all_w_ans_116
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0> - Reduce the size of the rectangle, 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.
D
[['rotate', -90], ['scale', 0.5]]
easy
{"instance_id": 116, "shape_A": {"name": "hexagon", "facecolor": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.46649890873571, 54.96360034422247]}, "shape_B": {"name": "rectangle", "facecolor": [0.9984367810079988, 0.43255898543761095, 0.767455259870214], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.04667739523437, 20.34563245259622]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_116.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_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [30.046000000000003, 20.345999999999997], "center": [-1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.2698497153897096, 0.8506154747557466, 0.04289290810317403]}, {"name": "rectangle", "size": [40.184, 28.712000000000003], "center": [0.0, 4.440892098500626e-16], "color": [0.24819004614536366, 0.4136054076086292, 0.2215600510211484]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "hard": [{"name": "rectangle", "size": [23.006, 19.16], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [32.644000000000005, 36.194], "center": [-8.881784197001252e-16, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.964, 63.466], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}, {"name": "hexagon", "size": [27.482, 31.732], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_116.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the rectangle, 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": "D", "hard": "D"}
2steps_easy_all_w_ans_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']]
easy
{"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_easy_all_w_ans_86
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and significantly downward. <shapeB_step_0> - Shift the circle to the left by a significant amount and slightly 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.
A
[['translate', [10, -30]], ['translate', [-30, -10]]]
easy
{"instance_id": 86, "shape_A": {"name": "triangle", "facecolor": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.7763568394002505e-15], "size": [23.110022771055725, 57.89494049246858]}, "shape_B": {"name": "circle", "facecolor": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239], "edgecolor": "black", "center": [-1.2434497875801752e-15, 1.7763568394002506e-16], "size": [69.31820306124776, 69.31820306124776]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_86.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_86.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_86.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [1.2434497875801752e-15, 8.881784197001253e-17], "color": [0.6521310465039827, 0.5956464294000907, 0.4605791410599981]}, {"name": "circle", "size": [95.82, 83.206], "center": [-1.9539925233402757e-15, -4.440892098500626e-15], "color": [0.6595304637060485, 0.5009748399904048, 0.3584993605885254]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "medium": [{"name": "circle", "size": [45.683, 48.22], "center": [-0.0002999999999977465, -2.4999999997987742e-05], "color": [0.1760972106755182, 0.03427483895444505, 0.47916740886305564]}, {"name": "circle", "size": [35.556, 34.66], "center": [0.00015000000000036094, 0.00017499999999999184], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "hard": [{"name": "circle", "size": [41.648, 42.792], "center": [0.00020000000000015562, -0.00022499999999867626], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [-1.7763568394002506e-16, 4.4408920985006264e-17], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [23.11, 57.894999999999996], "center": [9.999666666666668, -30.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}, {"name": "triangle", "size": [23.11, 57.894999999999996], "center": [-20.000333333333334, -40.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [10.0, -29.999999999999993], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_86.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_86.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_86.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "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 significantly downward. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly 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": "A", "medium": "C", "hard": "B"}
2steps_easy_all_w_ans_11
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> - 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
[['translate', [10, 30]], ['scale', 0.5]]
easy
{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046], "edgecolor": "black", "center": [-4.440892098500626e-16, 2.7755575615628914e-17], "size": [34.59015534670558, 23.523169726100182]}, "shape_B": {"name": "triangle", "facecolor": [0.740944798920008, 0.7594932952262566, 0.8671889705502257], "edgecolor": "black", "center": [2.3684757858670005e-15, -5.921189464667501e-16], "size": [52.975039803812166, 46.93491895097725]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_11.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_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.2143185873114406, 0.22135107701554813, 0.2251120409197751]}, {"name": "triangle", "size": [15.331, 31.392000000000003], "center": [-0.07583333333333186, 3.575000000000001], "color": [0.04965104284068489, 0.8538213265855465, 0.7798301351436794]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "medium": [{"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.7127404881047043, 0.709368196448239, 0.2753785582170396]}, {"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "hard": [{"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.59, 23.524], "center": [10.000000000000002, 30.000000000000007], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}, {"name": "ellipse", "size": [17.294999999999998, 11.762], "center": [10.000024999999999, 30.00015], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [52.975, 46.935], "center": [10.000333333333334, 30.0], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_11.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "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 right and significantly upward. <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": "A", "medium": "D", "hard": "D"}
2steps_easy_all_w_ans_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.
D
[['translate', [-30, 10]], ['rotate', -60]]
easy
{"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_easy_all_w_ans_54
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0> - Shift the hexagon to the left 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.
B
[['rotate', -30], ['translate', [-30, 30]]]
easy
{"instance_id": 54, "shape_A": {"name": "triangle", "facecolor": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [19.810842699890337, 56.45566140335922]}, "shape_B": {"name": "hexagon", "facecolor": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571], "edgecolor": "black", "center": [0.0, 0.0], "size": [61.61899126996609, 53.363611795362175]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_54.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_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [61.617999999999995, 53.364000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [26.682000000000002, 30.810000000000002], "center": [0.0, -5.921189464667501e-16], "color": [0.9688390034529459, 0.41768404723282604, 0.9697124653116701]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.05587708478340869, 0.4058628049282732, 0.8847980973763346]}], "medium": [{"name": "hexagon", "size": [30.810000000000002, 26.682000000000002], "center": [-8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [61.618, 53.364], "center": [-5.921189464667501e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.7858304635505055, 0.6654645959842609, 0.9196351530309665]}], "hard": [{"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 47.70006154045896], "center": [1.1842378929335002e-15, 2.3684757858670005e-15], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [30.81, 26.682000000000002], "center": [0.0, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [42.733000000000004, 44.266], "center": [0.0, 0.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}, {"name": "triangle", "size": [42.733000000000004, 44.266000000000005], "center": [-30.0, 30.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_54.png", "instructions": [["rotate", -30], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left 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": "C", "hard": "A"}
2steps_easy_all_w_ans_117
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0> - Reduce the size of the hexagon, 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
[['translate', [30, -30]], ['scale', 0.5]]
easy
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [-2.220446049250313e-16, -1.3988810110276972e-15], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87508092385881, 53.58539194127964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_117.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_117.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.9952458958033793, 0.43834090334037057, 0.0007170637618100217]}, {"name": "hexagon", "size": [53.586, 61.876000000000005], "center": [0.0, -5.921189464667501e-16], "color": [0.03433766741658173, 0.5310529134625389, 0.5349079969643663]}], "medium": [{"name": "hexagon", "size": [10.894293268075252, 26.792000000000005], "center": [-2.220446049250313e-16, -5.181040781584064e-16], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "hard": [{"name": "hexagon", "size": [65.422, 82.538], "center": [3.7007434154171886e-16, -1.1842378929335002e-15], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.001999999999995, 22.218000000000004], "center": [30.00000000000001, -29.999999999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}, {"name": "ellipse", "size": [16.0, 11.109000000000002], "center": [30.00014999999999, -29.999774999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "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 right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, 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": "A", "medium": "D", "hard": "B"}
2steps_easy_all_w_ans_27
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the left by a significant amount. <shapeB_step_0> - Shift the pentagon to the left 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', [-30, 0]], ['translate', [-30, 30]]]
easy
{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.695084533859536, 34.695084533859536]}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [59.73683176822594, 62.81102199996603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_27.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_27.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_27.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [73.94800000000001, 69.25999999999999], "center": [-0.14180000000000065, 3.2359999999999984], "color": [0.18502802264390872, 0.86235217136227, 0.18885992146773622]}, {"name": "pentagon", "size": [35.992000000000004, 32.518], "center": [1.4848000000000003, 1.4091999999999998], "color": [0.4905183832597364, 0.729479992243697, 0.6475642717036921]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "medium": [{"name": "pentagon", "size": [75.02099999999999, 69.733], "center": [0.5855000000000004, 1.8445], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [30.652, 32.846000000000004], "center": [-1.4310000000000003, 0.5589999999999989], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.9576157713949134, 0.9209041007619821, 0.0595773898911619]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.696, 34.696], "center": [-30.0, 0.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}, {"name": "square", "size": [34.696, 34.696], "center": [-60.0, 30.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.737, 62.812], "center": [-30.0, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_27.png", "instructions": [["translate", [-30, 0]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the left 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": "D", "medium": "D"}
2steps_easy_all_w_ans_29
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> - 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.
B
[['rotate', -60], ['rotate', 90]]
easy
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.06667766630173, 59.81349741400862]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_29.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_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.9695415308611851, 0.5831588581279402, 0.4883073409886549]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [79.582, 82.294], "center": [-8.881784197001252e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.534000000000006, 29.906], "center": [1.7763568394002505e-15, 0.0], "color": [0.24751042926734867, 0.10938599739355226, 0.8189264388188036]}], "medium": [{"name": "hexagon", "size": [81.794, 84.926], "center": [0.0, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.533, 29.908], "center": [0.00033333333333285253, 0.0], "color": [0.049902046109985276, 0.1377187844382094, 0.8787220961098785]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "hard": [{"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [29.906000000000002, 34.534], "center": [1.1842378929335002e-15, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.81399999999999, 51.80138702111024], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.736, 37.646], "center": [-3.3306690738754696e-16, 0.0], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}, {"name": "rectangle", "size": [37.646, 34.736], "center": [0.0, -3.3306690738754696e-16], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "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- 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": "B", "medium": "C", "hard": "A"}
2steps_easy_all_w_ans_102
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 slightly 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.
A
[['translate', [30, 10]], ['translate', [0, -10]]]
easy
{"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.7118055904962444], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.62723258064484, 32.546004957385094]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_102.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_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_102.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_102.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [16.273000000000003, 30.313999999999997], "center": [-1.7348333333333332, 3.5060000000000016], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.7765232358157869, 0.43092578237318613, 0.26350739318181027]}, {"name": "triangle", "size": [48.529, 56.184], "center": [-5.280833333333333, -0.3200000000000001], "color": [0.22099686669935337, 0.9016378822168126, 0.9301292163785994]}], "medium": [{"name": "triangle", "size": [36.98594075805096, 32.54599999999999], "center": [-0.7585593751921778, 0.18780515753438684], "color": [0.622487038101449, 0.3362118742445869, 0.8307795328164884]}, {"name": "triangle", "size": [30.314, 16.273], "center": [-3.5060000000000002, -1.7348333333333354], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "hard": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [28.63949368641316, 32.546], "center": [0.1651683863674629, 0.6675229453784546], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [17.471746709332628, 32.546], "center": [-1.8626294219201884, 3.7642686636096685], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 10.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}, {"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 0.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 10.000333333333334], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_102.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_102.png", "instructions": [["translate", [30, 10]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "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 slightly 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": "A", "medium": "C", "hard": "D"}
2steps_easy_all_w_ans_71
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> 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]]]
easy
{"instance_id": 71, "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_2_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_71.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_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [78.186, 80.882], "center": [-8.881784197001253e-17, -5.329070518200751e-16], "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": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.01909331303423989, 0.9831039299064597, 0.40179533827613945]}, {"name": "circle", "size": [68.888, 74.749], "center": [1.2434497875801752e-15, -0.0001249999999992202], "color": [0.2560945549589283, 0.7385353415371732, 0.5663898001735471]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.267622688217965, 0.7454231087454316, 0.7296825037169442]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.396, 34.186], "center": [0.00017500000000101324, -7.499999999970308e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [77.942, 70.58], "center": [0.00017500000000101324, -8.881784197001253e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "hard": [{"name": "circle", "size": [40.824, 44.812], "center": [6.217248937900876e-16, -5.0000000000594016e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.552713678800501e-16, 1.7763568394002506e-16], "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": [-6.217248937900876e-16, -8.881784197001252e-16], "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]}], "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]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "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 downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly 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": "B", "medium": "B", "hard": "C"}
2steps_easy_all_w_ans_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]]
easy
{"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_easy_all_w_ans_83
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> - Reduce the size of the hexagon, 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.
D
[['rotate', 30], ['scale', 0.5]]
easy
{"instance_id": 83, "shape_A": {"name": "square", "facecolor": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.17672188229552, 34.17672188229552]}, "shape_B": {"name": "hexagon", "facecolor": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.59823408801311, 59.407813374971]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_83.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_83.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_83.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.598, 59.408], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.04773867957137401, 0.1230693381260829, 0.3330258924025967]}, {"name": "hexagon", "size": [86.79400000000001, 72.872], "center": [0.0, 0.0], "color": [0.25226113544660544, 0.45485415949529595, 0.2287161854393761]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "medium": [{"name": "hexagon", "size": [75.148, 70.57400000000001], "center": [-5.921189464667501e-16, 2.3684757858670005e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [68.59800000000001, 59.408], "center": [-4.144832625267251e-15, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.7497046666984698, 0.9401172130049587, 0.46001191863997726]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [46.686, 46.686], "center": [0.0, 2.220446049250313e-16], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}, {"name": "square", "size": [23.344, 23.344], "center": [0.0, 0.00025000000000030553], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_83.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_83.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "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- Reduce the size of the hexagon, 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": "D", "medium": "C"}
2steps_easy_all_w_ans_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.
B
[['translate', [30, -10]], ['translate', [10, 30]]]
easy
{"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_easy_all_w_ans_107
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left. <shapeB_step_0> - Rotate the circle by 30 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.
C
[['translate', [-10, 0]], ['rotate', 30]]
easy
{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [-1.7763568394002506e-16, -1.9984014443252818e-16], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789532, 0.739848035268453, 0.27790397963115987], "edgecolor": "black", "center": [2.4868995751603505e-15, -1.5321077739827161e-15], "size": [65.96650335272558, 65.96650335272558]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_107.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_107.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_107.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.832, 76.394], "center": [-1.3322676295501878e-15, -0.00015000000000160442], "color": [0.8432780839676276, 0.7868459657567801, 0.4661218588678179]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.960540391190263, 0.03953837598150145, 0.7093700706863554]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [45.537, 42.689], "center": [0.0001499999999991175, -0.0003999999999985349], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "medium": [{"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [100.0, 86.5940601859146], "center": [-2.1316282072803005e-15, 3.552713678800501e-16], "color": [0.6344073530297935, 0.47058207938789454, 0.4456150952095499]}, {"name": "circle", "size": [88.923, 81.892], "center": [0.0005250000000016186, 4.99999999980183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "hard": [{"name": "circle", "size": [69.40100000000001, 75.604], "center": [-2.4999999996211385e-05, 0.0001249999999988205], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [35.16, 33.398], "center": [7.993605777301127e-16, -3.9968028886505636e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.034, 22.144], "center": [-9.999999999999998, 3.7192471324942745e-16], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}, {"name": "ellipse", "size": [31.454, 25.594], "center": [-9.999999999999998, 1.3322676295501878e-15], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [65.966, 65.966], "center": [-10.0, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_107.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_107.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_107.png", "instructions": [["translate", [-10, 0]], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "B", "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 left. <shapeB_step_0>\n- Rotate the circle by 30 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": "C", "medium": "B", "hard": "D"}
2steps_easy_all_w_ans_113
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0> - Rotate the triangle by 30 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.
C
[['rotate', -90], ['rotate', -30]]
easy
{"instance_id": 113, "shape_A": {"name": "rectangle", "facecolor": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.868187468576263, 21.258376675122513]}, "shape_B": {"name": "triangle", "facecolor": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [14.163207897571025, 60.26182739498849]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_113.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_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.9174013412547419, 0.8976848217443251, 0.048716666844519474]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [58.44800000000001, 56.611999999999995], "center": [-7.453999999999998, 6.498999999999999], "color": [0.9578606371994135, 0.812767027978977, 0.5577051205301008]}], "medium": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.42071836245344063, 0.7434459968681485, 0.3892564707564702]}, {"name": "triangle", "size": [20.097, 32.805], "center": [0.27383333333333315, -5.337833333333333], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "hard": [{"name": "triangle", "size": [7.299366997444494, 31.058000000000007], "center": [0.4778457789873111, 4.215316152799443], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [21.258, 30.868], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}, {"name": "rectangle", "size": [33.844, 37.362], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.262, 14.163], "center": [0.0, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_113.png", "instructions": [["rotate", -90], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 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": "C", "medium": "D", "hard": "B"}
2steps_easy_all_w_ans_57
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0> - Shift the hexagon a little to the left 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.
B
[['translate', [-10, 30]], ['translate', [-10, 30]]]
easy
{"instance_id": 57, "shape_A": {"name": "square", "facecolor": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.647300805864646, 32.647300805864646]}, "shape_B": {"name": "hexagon", "facecolor": [0.396029667470992, 0.8729681752351013, 0.003848845673840251], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.17929849344874, 55.58090289239097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_57.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_57.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_57.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.0008204800870083018, 0.07438559226596286, 0.15505254018175607]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, -0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.43405344003550683, 0.3047027957821804, 0.776971482550056]}], "medium": [{"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.006273944935232811, 0.8988539571637837, 0.5382262656289836]}], "hard": [{"name": "hexagon", "size": [48.132383920224356, 55.58000000000001], "center": [2.3684757858670005e-15, -5.921189464667501e-16], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.790000000000003, 32.09], "center": [-1.1842378929335002e-15, 0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.648, 32.647999999999996], "center": [-10.0, 30.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}, {"name": "square", "size": [32.647999999999996, 32.647999999999996], "center": [-20.0, 60.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [64.18, 55.58], "center": [-10.000000000000002, 30.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_57.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_57.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_57.png", "instructions": [["translate", [-10, 30]], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "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 left and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left 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": "A", "hard": "D"}
2steps_easy_all_w_ans_105
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, making it smaller. <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.
A
[['scale', 0.5], ['translate', [-30, -30]]]
easy
{"instance_id": 105, "shape_A": {"name": "circle", "facecolor": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7097434579227411e-15], "size": [66.063639289599, 66.063639289599]}, "shape_B": {"name": "hexagon", "facecolor": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.71771346058608, 56.9132093354941]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_105.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_105.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_105.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_105.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_105.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_105.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_105.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 56.914], "center": [1.7763568394002505e-15, 0.0], "color": [0.9588480152231209, 0.10518122138953323, 0.3358515532821599]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.13413166029498458, 0.3856971748659048, 0.1294421693752802]}, {"name": "hexagon", "size": [56.912, 65.716], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "medium": [{"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [65.718, 58.91], "center": [5.921189464667501e-16, 5.921189464667501e-16], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, 1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.4511268333137989, 0.23875806759160678, 0.8633164017267867]}], "hard": [{"name": "hexagon", "size": [65.716, 56.912000000000006], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [56.914, 65.718], "center": [0.0, -1.1842378929335002e-15], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [33.032, 33.032], "center": [-8.881784197001253e-17, -9.43689570931383e-16], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}, {"name": "circle", "size": [33.032, 33.032], "center": [-29.99999999999999, -30.0], "color": [0.5379846683199422, 0.6480325037266158, 0.42537862917188485]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [32.858, 28.456], "center": [0.0, 0.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}, {"name": "hexagon", "size": [32.858000000000004, 28.456000000000003], "center": [-30.0, -30.0], "color": [0.06485487611056151, 0.5611130031653493, 0.5125327248926532]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_105.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_105.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_105.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_105.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_105.png", "instructions": [["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "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- 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": "A", "medium": "A", "hard": "B"}
2steps_easy_all_w_ans_115
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and slightly downward. <shapeB_step_0> - Rotate the rectangle by 60 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.
B
[['translate', [-10, -10]], ['rotate', 60]]
easy
{"instance_id": 115, "shape_A": {"name": "square", "facecolor": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.351615522514766, 30.351615522514766]}, "shape_B": {"name": "rectangle", "facecolor": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.654204961769885, 22.17193081035603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_115.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_115.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_115.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_115.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_115.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_115.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_115.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.8843106463953841, 0.3845919597765035, 0.992382997611231]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [18.818, 17.264], "center": [0.0, 0.0], "color": [0.9544484660995831, 0.06595671535255854, 0.08502888533807029]}], "medium": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.172, 30.653999999999996], "center": [0.0, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.7311612379427683, 0.6841534816362329, 0.06681407266419448]}], "hard": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [22.171999999999997, 30.656], "center": [0.0, 0.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [8.881784197001252e-16, -4.440892098500626e-16], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.351999999999997, 30.351999999999997], "center": [-10.0, -9.999999999999998], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}, {"name": "square", "size": [41.462, 41.462], "center": [-10.0, -10.0], "color": [0.08967624114817874, 0.5703500189967354, 0.08214814917255076]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [30.654000000000003, 22.171999999999997], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}, {"name": "rectangle", "size": [34.528, 37.634], "center": [-10.0, -10.0], "color": [0.12890282484046012, 0.14350216399767002, 0.5642318780705011]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_115.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_115.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_115.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_115.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_115.png", "instructions": [["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "B", "medium": "B", "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 slightly downward. <shapeB_step_0>\n- Rotate the rectangle by 60 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": "B", "medium": "B", "hard": "B"}
2steps_easy_all_w_ans_0
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Reduce the size of the circle, making it smaller. <shapeB_step_0> - Shift the circle to the right by a significant amount. <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
[['scale', 0.5], ['translate', [30, 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_2_steps/shape_B_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_0.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_0.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_0.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.28999999999999, 66.982], "center": [8.881784197001252e-16, -1.865174681370263e-15], "color": [0.38012622503916615, 0.4534103023684355, 0.8341104266407503]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [91.986, 82.59800000000001], "center": [1.5099033134902129e-15, 0.0], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.1626540971560848, 0.3552707002275215, 0.6701751743776934]}], "medium": [{"name": "circle", "size": [43.34, 41.682], "center": [-5.000000000072724e-05, -0.00015000000000080503], "color": [0.9538159275210801, 0.8758529403781941, 0.26338905075109076]}, {"name": "circle", "size": [78.344, 75.52600000000001], "center": [1.7763568394002505e-15, 1.9539925233402757e-15], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [0.00020000000000024442, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}, {"name": "pentagon", "size": [29.865000000000002, 31.402], "center": [30.0002, 0.0], "color": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [33.49, 33.49], "center": [3.552713678800501e-16, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}, {"name": "circle", "size": [33.489999999999995, 33.49], "center": [30.0, 3.9968028886505636e-16], "color": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_0.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_0.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_0.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["translate", [30, 0]]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the right by a significant amount. <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": "C"}
2steps_easy_all_w_ans_43
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 a little to the right and slightly 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', [10, -10]]]
easy
{"instance_id": 43, "shape_A": {"name": "square", "facecolor": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.672575199287046, 30.672575199287046]}, "shape_B": {"name": "hexagon", "facecolor": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.99593641122776, 54.55608126731234]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_43.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_43.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_43.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.22925712689524536, 0.8125995484455614, 0.26614010120702536]}, {"name": "hexagon", "size": [54.556, 62.996], "center": [0.0, 5.921189464667501e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [31.498, 30.772], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5202618667015605, 0.5549973315285789, 0.6771417448734178]}], "medium": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [47.24676385802273, 54.556], "center": [0.0, 8.881784197001252e-16], "color": [0.08263260638681347, 0.19042201698407435, 0.953088654617766]}, {"name": "hexagon", "size": [54.556, 62.995999999999995], "center": [0.0, 2.9605947323337506e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}], "hard": [{"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [54.556, 62.995999999999995], "center": [0.0, -8.881784197001252e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [27.278, 31.497999999999998], "center": [0.0, -2.9605947323337506e-16], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [41.9, 41.9], "center": [2.220446049250313e-16, 0.0], "color": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364]}, {"name": "square", "size": [41.9, 41.9], "center": [10.0, -10.0], "color": [0.34895881216715885, 0.3568996768692686, 0.45235580620383364]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [62.996, 54.556], "center": [-2.9605947323337506e-16, 0.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}, {"name": "hexagon", "size": [62.995999999999995, 54.556], "center": [9.999999999999998, -10.0], "color": [0.7324402271165815, 0.1958560558205653, 0.20907092241678138]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_43.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_43.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_43.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_43.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_43.png", "instructions": [["rotate", -60], ["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "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 a little to the right and slightly 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": "C", "medium": "B", "hard": "A"}
2steps_easy_all_w_ans_85
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0> - Shift the circle to the right by a significant amount and slightly 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.
A
[['rotate', -90], ['translate', [30, -10]]]
easy
{"instance_id": 85, "shape_A": {"name": "hexagon", "facecolor": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.94327130306716, 59.70662436845885]}, "shape_B": {"name": "circle", "facecolor": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732], "edgecolor": "black", "center": [0.0, -7.993605777301127e-16], "size": [69.7448625316478, 69.7448625316478]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_85.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_85.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_85.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_85.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [97.499, 92.148], "center": [2.5000000002783907e-05, -2.1316282072803005e-15], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.08452857820564808, 0.9574650918575381, 0.9229525687559261]}, {"name": "circle", "size": [34.872, 34.872], "center": [0.0, -5.329070518200751e-16], "color": [0.7818901210993182, 0.2309288833517681, 0.5954327714478571]}], "medium": [{"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.16358390568133163, 0.5752085636459588, 0.6373714599188945]}, {"name": "circle", "size": [74.674, 80.35], "center": [-1.4210854715202005e-15, -1.1102230246251565e-15], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 56.69812854181064], "center": [-2.6645352591003756e-16, -8.881784197001253e-17], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}], "hard": [{"name": "circle", "size": [34.872, 34.872], "center": [0.0, 4.999999999970584e-05], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 14.338679030335145], "center": [-6.306066779870889e-15, 7.771561172376095e-17], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [59.706, 68.944], "center": [0.0, 1.1842378929335002e-15], "color": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597]}, {"name": "hexagon", "size": [59.706, 68.944], "center": [30.0, -10.0], "color": [0.6296645766745638, 0.3426078547531958, 0.30430066304382597]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.744, 69.744], "center": [3.9968028886505636e-16, 0.0], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}, {"name": "circle", "size": [69.744, 69.744], "center": [29.99999999999999, -9.999999999999998], "color": [0.1778172351448175, 0.6531352965169009, 0.9524696691090732]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_85.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_85.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_85.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_85.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_85.png", "instructions": [["rotate", -90], ["translate", [30, -10]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly 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": "A", "medium": "A", "hard": "D"}
2steps_easy_all_w_ans_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.
C
[['rotate', 60], ['translate', [30, 10]]]
easy
{"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_easy_all_w_ans_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.
C
[['translate', [10, -30]], ['translate', [-10, 0]]]
easy
{"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_easy_all_w_ans_48
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the right by a significant amount. <shapeB_step_0> - Shift the square a little to the right and slightly 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
[['translate', [30, 0]], ['translate', [10, -10]]]
easy
{"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.5668746151748413, 0.614809201762814, 0.7409945757086595], "edgecolor": "black", "center": [-2.6645352591003756e-16, 3.108624468950438e-16], "size": [33.266598335046034, 23.512351250803153]}, "shape_B": {"name": "square", "facecolor": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.18136031751098, 31.18136031751098]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_48.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_48.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_48.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.2538962481737801, 0.810763463028352, 0.7749309576907558]}, {"name": "square", "size": [42.596000000000004, 42.596000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.9418983460930013, 0.5710437173591865, 0.2610379298436133]}, {"name": "square", "size": [21.296, 21.296], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "medium": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.594, 42.594], "center": [2.220446049250313e-16, 0.0], "color": [0.77922051345454, 0.7297668452697064, 0.5868795122897497]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [21.298, 21.298], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "hard": [{"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182], "center": [8.881784197001252e-16, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [42.593999999999994, 42.593999999999994], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [15.59, 15.590000000000003], "center": [0.0, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [30.0, -3.219646771412954e-16], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}, {"name": "ellipse", "size": [33.266000000000005, 23.512], "center": [40.0, -10.0], "color": [0.5668746151748413, 0.614809201762814, 0.7409945757086595]}], "tranformed_B_sequence_info": [{"name": "square", "size": [31.182000000000002, 31.182], "center": [30.000000000000004, 0.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}, {"name": "square", "size": [31.182000000000002, 31.182000000000002], "center": [40.0, -10.0], "color": [0.7283034564351284, 0.9257949781751993, 0.6553960858475746]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_48.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_48.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_48.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_48.png", "instructions": [["translate", [30, 0]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "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. <shapeB_step_0>\n- Shift the square a little to the right and slightly 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": "A", "hard": "A"}
2steps_easy_all_w_ans_12
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 horizontal line y = 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.
D
[['translate', [-30, -10]], ['flip', 'horizontal']]
easy
{"instance_id": 12, "shape_A": {"name": "ellipse", "facecolor": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799], "edgecolor": "black", "center": [-3.108624468950438e-16, -2.220446049250313e-16], "size": [32.147048615045605, 22.14512724300205]}, "shape_B": {"name": "square", "facecolor": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.926054528488564, 33.926054528488564]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_12.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_12.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_12.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_12.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.019124733123319415, 0.22432136332369457, 0.9848795244932604]}, {"name": "square", "size": [46.343999999999994, 46.343999999999994], "center": [0.0, -1.3322676295501878e-15], "color": [0.1648835088914956, 0.9068942361936375, 0.8120083168401692]}, {"name": "square", "size": [23.172, 23.172], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}], "medium": [{"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [46.343999999999994, 46.343999999999994], "center": [0.0, 1.7763568394002505e-15], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [23.171999999999997, 23.171999999999997], "center": [0.0, -8.881784197001252e-16], "color": [0.9068800442697921, 0.8352321652632412, 0.66902193050164]}], "hard": [{"name": "square", "size": [23.172, 23.172], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [46.343999999999994, 46.344], "center": [-1.3322676295501878e-15, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [0.0, 0.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.147999999999996, 22.146], "center": [-30.0, -10.0], "color": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799]}, {"name": "ellipse", "size": [32.147999999999996, 22.146], "center": [-30.0, 10.0], "color": [0.08081146692917374, 0.3326294469165263, 0.9866403726996799]}], "tranformed_B_sequence_info": [{"name": "square", "size": [33.926, 33.926], "center": [-30.0, -10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}, {"name": "square", "size": [33.926, 33.926], "center": [-30.0, 10.0], "color": [0.15077845109526256, 0.9923478528879328, 0.3426698849290001]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_12.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_12.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_12.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_12.png", "instructions": [["translate", [-30, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "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 horizontal line y = 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": "D", "medium": "C", "hard": "C"}
2steps_easy_all_w_ans_45
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the right by a significant amount. <shapeB_step_0> - Shift the hexagon a little to the left and slightly 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
[['translate', [30, 0]], ['translate', [-10, -10]]]
easy
{"instance_id": 45, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [-6.217248937900876e-16, 5.10702591327572e-16], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.47431715468095, 59.30049816274628]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_45.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_45.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_45.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [59.3, 68.47399999999999], "center": [0.0, -5.921189464667501e-16], "color": [0.6911077774611649, 0.018054176909342745, 0.8222568634710554]}, {"name": "hexagon", "size": [34.236, 29.650000000000002], "center": [-1.1842378929335002e-15, -1.1842378929335002e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.12413712630719198, 0.10247473915685523, 0.3705628249908528]}], "medium": [{"name": "hexagon", "size": [86.81, 73.448], "center": [-5.921189464667501e-16, 0.0], "color": [0.5653398715178964, 0.29440750197524845, 0.7722995020481823]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [59.3, 68.474], "center": [0.0, -1.1842378929335002e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}], "hard": [{"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [34.236, 29.65], "center": [0.00033333333333403675, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [51.35511288956393, 59.3], "center": [2.3684757858670005e-15, 1.7763568394002505e-15], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [1.1842378929335002e-15, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.86, 22.426], "center": [30.0, -1.2212453270876723e-16], "color": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219]}, {"name": "ellipse", "size": [32.86, 22.426000000000002], "center": [20.000000000000004, -9.999999999999998], "color": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [68.47399999999999, 59.3], "center": [30.0, 0.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}, {"name": "hexagon", "size": [68.474, 59.3], "center": [20.0, -10.0], "color": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_45.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_45.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_45.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_45.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_45.png", "instructions": [["translate", [30, 0]], ["translate", [-10, -10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Shift the hexagon a little to the left and slightly 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": "C", "medium": "B", "hard": "A"}
2steps_easy_all_w_ans_33
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0> - Reduce the size of the circle, 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.
B
[['rotate', -90], ['scale', 0.5]]
easy
{"instance_id": 33, "shape_A": {"name": "triangle", "facecolor": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879], "edgecolor": "black", "center": [0.0, -5.921189464667501e-16], "size": [66.09472983207253, 32.343887638489065]}, "shape_B": {"name": "circle", "facecolor": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713], "edgecolor": "black", "center": [-8.881784197001252e-16, 3.9968028886505636e-16], "size": [69.2744055119709, 69.2744055119709]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_33.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_33.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_33.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_33.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_33.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_33.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_33.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [83.559, 86.345], "center": [2.4999999998609468e-05, 0.0003500000000006942], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.06372245856662295, 0.2878313118827638, 0.7120336041548561]}, {"name": "circle", "size": [94.436, 83.06], "center": [-3.552713678800501e-16, 2.6645352591003757e-15], "color": [0.8269749765146087, 0.5879141645190475, 0.6347726627828982]}], "medium": [{"name": "circle", "size": [91.646, 89.792], "center": [-8.881784197001252e-16, 1.4210854715202005e-15], "color": [0.10362301130580698, 0.8470703830011121, 0.7579404251667007]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [143.6716905036659, 158.0], "center": [-1.2434497875801752e-15, -2.842170943040401e-15], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "hard": [{"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [75.968, 78.788], "center": [1.7763568394002506e-16, 4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 20.740533203903695], "center": [-2.531308496145357e-15, -8.881784197001253e-17], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.344, 66.095], "center": [0.0003333333333337407, 0.0], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}, {"name": "triangle", "size": [16.172, 33.047], "center": [0.0006666666666662971, 0.0003333333333331486], "color": [0.7326877774334374, 0.5235587475379427, 0.4584195691394879]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.274, 69.274], "center": [-8.215650382226159e-16, -1.7763568394002506e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}, {"name": "circle", "size": [34.636, 34.636], "center": [-0.00010000000000031095, -4.440892098500626e-16], "color": [0.7267874043035828, 0.6329200230050853, 0.43110054651436713]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_33.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_33.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_33.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_33.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_33.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, 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": "B", "hard": "A"}
2steps_easy_all_w_ans_5
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the right by a significant amount. <shapeB_step_0> - Reduce the size of the hexagon, 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
[['translate', [30, 0]], ['scale', 0.5]]
easy
{"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653], "edgecolor": "black", "center": [-3.552713678800501e-16, 6.661338147750939e-17], "size": [32.57752866073627, 21.63982923818263]}, "shape_B": {"name": "hexagon", "facecolor": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.13068121064678, 57.270849897990374]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_5.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_5.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_5.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [-5.921189464667501e-16, 0.0], "color": [0.6290252411453636, 0.6197358055010894, 0.8411671249582643]}, {"name": "hexagon", "size": [66.13, 57.27], "center": [0.0, 0.0], "color": [0.14777570830033182, 0.6807268950506788, 0.03157051334209937]}, {"name": "hexagon", "size": [57.27, 66.13], "center": [0.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}], "medium": [{"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [-5.921189464667501e-16, 0.0], "color": [0.1005449047773479, 0.7707660580982791, 0.00518144640713003]}, {"name": "hexagon", "size": [45.12, 83.858], "center": [5.921189464667501e-16, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [66.13, 57.27], "center": [0.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.578, 21.64], "center": [30.0, 4.4408920985006264e-17], "color": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653]}, {"name": "ellipse", "size": [16.287999999999997, 10.82], "center": [30.00005000000001, 1.8596235662471373e-16], "color": [0.39390371272860714, 0.7948972283809458, 0.3390852999525653]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [66.13, 57.27], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}, {"name": "hexagon", "size": [33.06399999999999, 28.636], "center": [30.0, 0.0], "color": [0.9389485669553754, 0.7549651722927939, 0.19905788155244997]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_5.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_5.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_5.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_5.png", "instructions": [["translate", [30, 0]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Reduce the size of the hexagon, 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": "A", "medium": "C"}
2steps_easy_all_w_ans_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.
B
[['rotate', 30], ['scale', 0.5]]
easy
{"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_easy_all_w_ans_15
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon a little to the right and slightly upward. <shapeB_step_0> - Reduce the size of the pentagon, 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.
D
[['translate', [10, 10]], ['scale', 0.5]]
easy
{"instance_id": 15, "shape_A": {"name": "square", "facecolor": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.56643343555589, 32.56643343555589]}, "shape_B": {"name": "pentagon", "facecolor": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [58.64498333119238, 61.66298461383164]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_15.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_15.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_15.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [58.644999999999996, 61.662000000000006], "center": [-3.0954999999999995, 0.0], "color": [0.09300943016209173, 0.6736979167818138, 0.8210746894925302]}, {"name": "pentagon", "size": [36.303, 90.241], "center": [-0.6734999999999989, 1.6595], "color": [0.009723191714424928, 0.8321770449232286, 0.24825760936207752]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [-1.5476999999999996, -0.00019999999999988915], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [9.999800000000002, 9.999799999999999], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.566, 32.566], "center": [10.0, 10.0], "color": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359]}, {"name": "square", "size": [16.284, 16.284], "center": [9.999999999999998, 10.0], "color": [0.7036219244347302, 0.9191774211091239, 0.5495926535464359]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [58.644999999999996, 61.662000000000006], "center": [10.0, 9.999999999999996], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}, {"name": "pentagon", "size": [29.323, 30.832], "center": [9.999800000000002, 9.999799999999999], "color": [0.5586307128696588, 0.5031691662538932, 0.3399658944235404]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_15.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_15.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_15.png", "instructions": [["translate", [10, 10]], ["scale", 0.5]], "correct_answer": {"easy": "D"}, "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 slightly upward. <shapeB_step_0>\n- Reduce the size of the pentagon, 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": "D"}
2steps_easy_all_w_ans_46
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 a little to the right 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', [10, -30]]]
easy
{"instance_id": 46, "shape_A": {"name": "rectangle", "facecolor": [0.8957184739058375, 0.4406495499811689, 0.598835708808161], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.37069677274037, 21.922365908439833]}, "shape_B": {"name": "circle", "facecolor": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426], "edgecolor": "black", "center": [-1.0658141036401502e-15, 2.6645352591003756e-16], "size": [64.9209410492322, 64.9209410492322]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_46.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_46.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_46.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.07859458478485915, 0.16338281333792537, 0.37982954913839717]}, {"name": "circle", "size": [75.24, 72.574], "center": [-5.329070518200751e-16, -1.5099033134902129e-15], "color": [0.21887107007457074, 0.4218995588866843, 0.8251673691965223]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [45.668, 40.374], "center": [-0.00017500000000199024, 2.4999999999808507e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "medium": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.8766430624945868, 0.8480760717041813, 0.17721660840147546]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [32.786, 34.498], "center": [-2.6645352591003756e-16, -7.993605777301127e-16], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [74.028, 84.037], "center": [-0.00024999999999835153, 0.00022499999999858744], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "hard": [{"name": "circle", "size": [80.13499999999999, 78.74], "center": [-0.000549999999998807, 5.0000000000594016e-05], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [35.312, 36.268], "center": [-2.5000000001274003e-05, -0.0001749999999993701], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [35.17, 38.996], "center": [3.3306690738754696e-16, 0.0], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}, {"name": "rectangle", "size": [35.17, 38.995999999999995], "center": [10.0, -29.999999999999996], "color": [0.8957184739058375, 0.4406495499811689, 0.598835708808161]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [64.832, 64.832], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}, {"name": "circle", "size": [64.832, 64.832], "center": [9.999999999999996, -30.000000000000007], "color": [0.6420732171173018, 0.6269776757333287, 0.050299173071804426]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_46.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_46.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_46.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_46.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_46.png", "instructions": [["rotate", -60], ["translate", [10, -30]]], "correct_answer": {"easy": "C", "medium": "B", "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 clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the right 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": "C", "medium": "B", "hard": "D"}
2steps_easy_all_w_ans_72
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the left and slightly downward. <shapeB_step_0> - Shift the ellipse a little to the right and slightly 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
[['translate', [-10, -10]], ['translate', [10, -10]]]
easy
{"instance_id": 72, "shape_A": {"name": "square", "facecolor": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.987408871750798, 30.987408871750798]}, "shape_B": {"name": "ellipse", "facecolor": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202], "edgecolor": "black", "center": [-2.6645352591003756e-16, -9.93649607039515e-16], "size": [33.35649907947214, 22.428317324717842]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_72.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_72.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_72.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_72.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_72.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_72.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_72.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.9963587756109145, 0.30345511366585054, 0.4639304479137577]}, {"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [4.440892098500626e-16, 5.329070518200751e-16], "color": [0.6818451680946132, 0.9262228298753192, 0.816913366438626]}, {"name": "ellipse", "size": [25.528, 30.938], "center": [4.4408920985006264e-17, 7.549516567451064e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "medium": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.08240117073119624, 0.33551543368246395, 0.33149624654203025]}, {"name": "ellipse", "size": [18.506108475014543, 22.427999999999997], "center": [-4.440892098500626e-16, 2.842170943040401e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [15.47, 12.764], "center": [-3.108624468950438e-16, 3.3306690738754696e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "hard": [{"name": "ellipse", "size": [16.677999999999997, 11.213999999999999], "center": [1.3322676295501878e-16, -1.021405182655144e-15], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [1.7763568394002506e-16, 0.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [18.504912217194565, 22.427999999999997], "center": [-6.661338147750939e-16, 4.440892098500626e-16], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.988, 30.988], "center": [-10.0, -10.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}, {"name": "square", "size": [30.988, 30.988], "center": [0.0, -20.0], "color": [0.41699375901989344, 0.11906993690280865, 0.9159786294720413]}], "tranformed_B_sequence_info": [{"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-10.0, -10.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}, {"name": "ellipse", "size": [33.356, 22.427999999999997], "center": [-5.329070518200751e-16, -20.0], "color": [0.12199389900843127, 0.8456321118005239, 0.2005721871392202]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_72.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_72.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_72.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_72.png", "instructions": [["translate", [-10, -10]], ["translate", [10, -10]]], "correct_answer": {"easy": "D", "medium": "C", "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 left and slightly downward. <shapeB_step_0>\n- Shift the ellipse a little to the right and slightly 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": "C", "hard": "D"}
2steps_easy_all_last_81
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0> - Shift the square a little to the left and significantly upward. 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, 30]]]
easy
{"instance_id": 81, "shape_A": {"name": "rectangle", "facecolor": [0.7122100375578423, 0.8937033343870389, 0.6166389062987], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.709912373637906, 20.918810315342093]}, "shape_B": {"name": "square", "facecolor": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.91542727345086, 33.91542727345086]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_81.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_81.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_81.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_81.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_81.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.017269358477543406, 0.8951715436112537, 0.8881882715240285]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.9822023558670021, 0.3805353841932245, 0.6158594794070977]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [0.0, 6.661338147750939e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "medium": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.164, 23.164], "center": [1.1102230246251565e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.5512682171709632, 0.4558650631394707, 0.703459189841425]}], "hard": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [33.916, 33.916], "center": [0.0, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [23.165999999999997, 23.165999999999997], "center": [-8.881784197001252e-16, 0.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [39.654, 34.972], "center": [0.0, -5.551115123125783e-17], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}, {"name": "rectangle", "size": [39.654, 34.971999999999994], "center": [-10.0, 30.0], "color": [0.7122100375578423, 0.8937033343870389, 0.6166389062987]}], "tranformed_B_sequence_info": [{"name": "square", "size": [46.33, 46.33], "center": [0.0, -2.220446049250313e-16], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}, {"name": "square", "size": [46.33, 46.33], "center": [-10.0, 30.0], "color": [0.010262738539131289, 0.4409510756494397, 0.08795089775114229]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_81.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_81.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_81.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_81.png", "instructions": [["rotate", 30], ["translate", [-10, 30]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the square a little to the left and significantly upward. \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"}
2steps_easy_all_last_14
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0> - Shift the pentagon to the left by a significant amount and slightly downward. 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', [-30, -10]]]
easy
{"instance_id": 14, "shape_A": {"name": "hexagon", "facecolor": [0.8671389723518831, 0.6479406086588688, 0.95739164910812], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.25937346695748, 58.24832606501022]}, "shape_B": {"name": "pentagon", "facecolor": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084], "edgecolor": "black", "center": [1.0658141036401502e-15, 0.0], "size": [56.18568847166277, 59.077128970772904]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_14.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_14.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_14.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [68.395, 77.165], "center": [3.1387000000000014, 0.9262999999999991], "color": [0.09820240138037195, 0.7255892573341403, 0.48719041013374853]}, {"name": "pentagon", "size": [29.538, 28.093], "center": [-3.552713678800501e-16, 1.4827], "color": [0.3308509316827234, 0.12821514659595157, 0.6554729806969527]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "medium": [{"name": "pentagon", "size": [32.506, 35.007999999999996], "center": [0.7238, 0.33600000000000063], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18600000000001, 59.078], "center": [-2.965799999999998, 0.0], "color": [0.4146136850951062, 0.3302247652430509, 0.11333869756398085]}, {"name": "pentagon", "size": [68.628, 73.974], "center": [-3.0588000000000006, 1.9782000000000004], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [67.26, 58.248000000000005], "center": [-30.0, -30.0], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}, {"name": "hexagon", "size": [67.25999999999999, 58.248], "center": [-60.0, -39.99999999999999], "color": [0.8671389723518831, 0.6479406086588688, 0.95739164910812]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [56.186, 59.078], "center": [-29.999800000000004, -30.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}, {"name": "pentagon", "size": [56.18599999999999, 59.078], "center": [-59.99979999999999, -40.0], "color": [0.011150207769305864, 0.8747669276227783, 0.14137386622455084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_14.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_14.png", "instructions": [["translate", [-30, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount and significantly downward. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and slightly downward. \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"}
2steps_easy_all_last_116
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0> - Reduce the size of the rectangle, making it smaller. 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', -90], ['scale', 0.5]]
easy
{"instance_id": 116, "shape_A": {"name": "hexagon", "facecolor": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.46649890873571, 54.96360034422247]}, "shape_B": {"name": "rectangle", "facecolor": [0.9984367810079988, 0.43255898543761095, 0.767455259870214], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.04667739523437, 20.34563245259622]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_116.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_116.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_116.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_116.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_116.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_116.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [30.046000000000003, 20.345999999999997], "center": [-1.7763568394002505e-15, 8.881784197001252e-16], "color": [0.2698497153897096, 0.8506154747557466, 0.04289290810317403]}, {"name": "rectangle", "size": [40.184, 28.712000000000003], "center": [0.0, 4.440892098500626e-16], "color": [0.24819004614536366, 0.4136054076086292, 0.2215600510211484]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "hard": [{"name": "rectangle", "size": [23.006, 19.16], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [32.644000000000005, 36.194], "center": [-8.881784197001252e-16, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.964, 63.466], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}, {"name": "hexagon", "size": [27.482, 31.732], "center": [0.0, 0.0], "color": [0.8730223935560212, 0.9782932242456543, 0.8788571421341166]}], "tranformed_B_sequence_info": [{"name": "rectangle", "size": [20.346, 30.046], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}, {"name": "rectangle", "size": [10.172, 15.024], "center": [0.0, 0.0], "color": [0.9984367810079988, 0.43255898543761095, 0.767455259870214]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_116.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_116.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_116.png", "instructions": [["rotate", -90], ["scale", 0.5]], "correct_answer": {"easy": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the rectangle, making it smaller. \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", "hard": "D"}
2steps_easy_all_last_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. 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']]
easy
{"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. \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_easy_all_last_86
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right and significantly downward. <shapeB_step_0> - Shift the circle to the left by a significant amount and slightly downward. 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]]]
easy
{"instance_id": 86, "shape_A": {"name": "triangle", "facecolor": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781], "edgecolor": "black", "center": [-1.1842378929335002e-15, -1.7763568394002505e-15], "size": [23.110022771055725, 57.89494049246858]}, "shape_B": {"name": "circle", "facecolor": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239], "edgecolor": "black", "center": [-1.2434497875801752e-15, 1.7763568394002506e-16], "size": [69.31820306124776, 69.31820306124776]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_86.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_86.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_86.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [1.2434497875801752e-15, 8.881784197001253e-17], "color": [0.6521310465039827, 0.5956464294000907, 0.4605791410599981]}, {"name": "circle", "size": [95.82, 83.206], "center": [-1.9539925233402757e-15, -4.440892098500626e-15], "color": [0.6595304637060485, 0.5009748399904048, 0.3584993605885254]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "medium": [{"name": "circle", "size": [45.683, 48.22], "center": [-0.0002999999999977465, -2.4999999997987742e-05], "color": [0.1760972106755182, 0.03427483895444505, 0.47916740886305564]}, {"name": "circle", "size": [35.556, 34.66], "center": [0.00015000000000036094, 0.00017499999999999184], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "hard": [{"name": "circle", "size": [41.648, 42.792], "center": [0.00020000000000015562, -0.00022499999999867626], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [34.66, 34.66], "center": [-1.7763568394002506e-16, 4.4408920985006264e-17], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-5.329070518200751e-16, 6.572520305780927e-15], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [23.11, 57.894999999999996], "center": [9.999666666666668, -30.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}, {"name": "triangle", "size": [23.11, 57.894999999999996], "center": [-20.000333333333334, -40.0], "color": [0.3100603789928582, 0.9609980006063608, 0.9316005987084781]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [69.318, 69.31800000000001], "center": [10.0, -29.999999999999993], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}, {"name": "circle", "size": [69.318, 69.31800000000001], "center": [-20.0, -40.0], "color": [0.5863825462097906, 0.8444805089344546, 0.8222955389116239]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_86.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_86.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_86.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_86.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_86.png", "instructions": [["translate", [10, -30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "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 significantly downward. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and slightly downward. \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"}
2steps_easy_all_last_11
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> - Reduce the size of the triangle, making it smaller. 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]], ['scale', 0.5]]
easy
{"instance_id": 11, "shape_A": {"name": "ellipse", "facecolor": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046], "edgecolor": "black", "center": [-4.440892098500626e-16, 2.7755575615628914e-17], "size": [34.59015534670558, 23.523169726100182]}, "shape_B": {"name": "triangle", "facecolor": [0.740944798920008, 0.7594932952262566, 0.8671889705502257], "edgecolor": "black", "center": [2.3684757858670005e-15, -5.921189464667501e-16], "size": [52.975039803812166, 46.93491895097725]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_11.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_11.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_11.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.2143185873114406, 0.22135107701554813, 0.2251120409197751]}, {"name": "triangle", "size": [15.331, 31.392000000000003], "center": [-0.07583333333333186, 3.575000000000001], "color": [0.04965104284068489, 0.8538213265855465, 0.7798301351436794]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "medium": [{"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.7127404881047043, 0.709368196448239, 0.2753785582170396]}, {"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "hard": [{"name": "triangle", "size": [61.81, 18.643], "center": [-10.063, 3.0628333333333337], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [52.975, 46.935], "center": [5.928833333333333, 2.3215000000000003], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [2.9643333333333337, 1.1608333333333338], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.59, 23.524], "center": [10.000000000000002, 30.000000000000007], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}, {"name": "ellipse", "size": [17.294999999999998, 11.762], "center": [10.000024999999999, 30.00015], "color": [0.8210173923984603, 0.5152697026095568, 0.15897244263900046]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [52.975, 46.935], "center": [10.000333333333334, 30.0], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}, {"name": "triangle", "size": [26.488, 23.467], "center": [10.000333333333334, 30.000333333333334], "color": [0.740944798920008, 0.7594932952262566, 0.8671889705502257]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_11.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_11.png", "instructions": [["translate", [10, 30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "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 right and significantly upward. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. \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": "D"}
2steps_easy_all_last_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. 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]]
easy
{"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. \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_easy_all_last_54
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0> - Shift the hexagon to the left by a significant amount and significantly upward. 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', [-30, 30]]]
easy
{"instance_id": 54, "shape_A": {"name": "triangle", "facecolor": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [19.810842699890337, 56.45566140335922]}, "shape_B": {"name": "hexagon", "facecolor": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571], "edgecolor": "black", "center": [0.0, 0.0], "size": [61.61899126996609, 53.363611795362175]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_54.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_54.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_54.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_54.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_54.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_54.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_54.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [61.617999999999995, 53.364000000000004], "center": [8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [26.682000000000002, 30.810000000000002], "center": [0.0, -5.921189464667501e-16], "color": [0.9688390034529459, 0.41768404723282604, 0.9697124653116701]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.05587708478340869, 0.4058628049282732, 0.8847980973763346]}], "medium": [{"name": "hexagon", "size": [30.810000000000002, 26.682000000000002], "center": [-8.881784197001252e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [61.618, 53.364], "center": [-5.921189464667501e-16, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.7858304635505055, 0.6654645959842609, 0.9196351530309665]}], "hard": [{"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 47.70006154045896], "center": [1.1842378929335002e-15, 2.3684757858670005e-15], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [30.81, 26.682000000000002], "center": [0.0, 0.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [42.733000000000004, 44.266], "center": [0.0, 0.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}, {"name": "triangle", "size": [42.733000000000004, 44.266000000000005], "center": [-30.0, 30.0], "color": [0.09353705061919004, 0.33546514724445253, 0.04703483288852861]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [53.364, 61.618], "center": [0.0, -5.921189464667501e-16], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}, {"name": "hexagon", "size": [53.364000000000004, 61.617999999999995], "center": [-30.0, 30.0], "color": [0.8248784546363437, 0.34443434860741584, 0.7930471941446571]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_54.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_54.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_54.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_54.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_54.png", "instructions": [["rotate", -30], ["translate", [-30, 30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the hexagon to the left by a significant amount and significantly upward. \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"}
2steps_easy_all_last_117
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_0> - Reduce the size of the hexagon, making it smaller. 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]], ['scale', 0.5]]
easy
{"instance_id": 117, "shape_A": {"name": "ellipse", "facecolor": [0.7218298009143069, 0.237713172425009, 0.5423320422772745], "edgecolor": "black", "center": [-2.220446049250313e-16, -1.3988810110276972e-15], "size": [32.0013952532714, 22.21799979044379]}, "shape_B": {"name": "hexagon", "facecolor": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.87508092385881, 53.58539194127964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_117.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_117.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_117.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_117.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_117.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_117.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_117.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.9952458958033793, 0.43834090334037057, 0.0007170637618100217]}, {"name": "hexagon", "size": [53.586, 61.876000000000005], "center": [0.0, -5.921189464667501e-16], "color": [0.03433766741658173, 0.5310529134625389, 0.5349079969643663]}], "medium": [{"name": "hexagon", "size": [10.894293268075252, 26.792000000000005], "center": [-2.220446049250313e-16, -5.181040781584064e-16], "color": [0.4286103694029272, 0.21983952405210871, 0.16389177698089252]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "hard": [{"name": "hexagon", "size": [65.422, 82.538], "center": [3.7007434154171886e-16, -1.1842378929335002e-15], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [2.9605947323337506e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [8.881784197001252e-16, 0.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [32.001999999999995, 22.218000000000004], "center": [30.00000000000001, -29.999999999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}, {"name": "ellipse", "size": [16.0, 11.109000000000002], "center": [30.00014999999999, -29.999774999999993], "color": [0.7218298009143069, 0.237713172425009, 0.5423320422772745]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [61.876000000000005, 53.586], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}, {"name": "hexagon", "size": [30.938000000000002, 26.792], "center": [30.0, -30.0], "color": [0.8442409443626506, 0.34326127637426507, 0.3399364055429084]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_117.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_117.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_117.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_117.png", "instructions": [["translate", [30, -30]], ["scale", 0.5]], "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 right by a significant amount and significantly downward. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. \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"}
2steps_easy_all_last_27
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon to the left by a significant amount. <shapeB_step_0> - Shift the pentagon to the left by a significant amount and significantly upward. 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, 0]], ['translate', [-30, 30]]]
easy
{"instance_id": 27, "shape_A": {"name": "square", "facecolor": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.695084533859536, 34.695084533859536]}, "shape_B": {"name": "pentagon", "facecolor": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006], "edgecolor": "black", "center": [0.0, 7.105427357601002e-16], "size": [59.73683176822594, 62.81102199996603]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_27.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_27.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_27.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [73.94800000000001, 69.25999999999999], "center": [-0.14180000000000065, 3.2359999999999984], "color": [0.18502802264390872, 0.86235217136227, 0.18885992146773622]}, {"name": "pentagon", "size": [35.992000000000004, 32.518], "center": [1.4848000000000003, 1.4091999999999998], "color": [0.4905183832597364, 0.729479992243697, 0.6475642717036921]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "medium": [{"name": "pentagon", "size": [75.02099999999999, 69.733], "center": [0.5855000000000004, 1.8445], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [30.652, 32.846000000000004], "center": [-1.4310000000000003, 0.5589999999999989], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-3.153499999999999, 7.105427357601002e-16], "color": [0.9576157713949134, 0.9209041007619821, 0.0595773898911619]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.696, 34.696], "center": [-30.0, 0.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}, {"name": "square", "size": [34.696, 34.696], "center": [-60.0, 30.0], "color": [0.6326828793075645, 0.9722186279975634, 0.3245618722084622]}], "tranformed_B_sequence_info": [{"name": "pentagon", "size": [59.737, 62.812], "center": [-30.0, 7.105427357601002e-16], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}, {"name": "pentagon", "size": [59.737, 62.812], "center": [-60.0, 30.0], "color": [0.2559872118503206, 0.015638489554738122, 0.6573175935355006]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_27.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_27.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_27.png", "instructions": [["translate", [-30, 0]], ["translate", [-30, 30]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the left by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the left by a significant amount and significantly upward. \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"}
2steps_easy_all_last_29
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> - Rotate the hexagon by 90 degrees counter-clockwise around its center. 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], ['rotate', 90]]
easy
{"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.47121283356394, 22.516200762531998]}, "shape_B": {"name": "hexagon", "facecolor": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.06667766630173, 59.81349741400862]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_29.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_29.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_29.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.9695415308611851, 0.5831588581279402, 0.4883073409886549]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [79.582, 82.294], "center": [-8.881784197001252e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.534000000000006, 29.906], "center": [1.7763568394002505e-15, 0.0], "color": [0.24751042926734867, 0.10938599739355226, 0.8189264388188036]}], "medium": [{"name": "hexagon", "size": [81.794, 84.926], "center": [0.0, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [34.533, 29.908], "center": [0.00033333333333285253, 0.0], "color": [0.049902046109985276, 0.1377187844382094, 0.8787220961098785]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "hard": [{"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [29.906000000000002, 34.534], "center": [1.1842378929335002e-15, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.81399999999999, 51.80138702111024], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.736, 37.646], "center": [-3.3306690738754696e-16, 0.0], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}, {"name": "rectangle", "size": [37.646, 34.736], "center": [0.0, -3.3306690738754696e-16], "color": [0.26617824464117834, 0.06584738591411499, 0.1010319909115096]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [69.066, 59.814], "center": [-5.921189464667501e-16, 0.0], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}, {"name": "hexagon", "size": [59.814, 69.066], "center": [0.0, -5.921189464667501e-16], "color": [0.8795276708281322, 0.2682669497666631, 0.20570537575355996]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_29.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_29.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_29.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_29.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_29.png", "instructions": [["rotate", -60], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "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- Rotate the hexagon by 90 degrees counter-clockwise around its center. \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"}
2steps_easy_all_last_102
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 slightly downward. 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]], ['translate', [0, -10]]]
easy
{"instance_id": 102, "shape_A": {"name": "square", "facecolor": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.84968651398539, 31.84968651398539]}, "shape_B": {"name": "triangle", "facecolor": [0.858802885279082, 0.5077896100031754, 0.7118055904962444], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [60.62723258064484, 32.546004957385094]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_102.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_102.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_102.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_102.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_102.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_102.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_102.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [16.273000000000003, 30.313999999999997], "center": [-1.7348333333333332, 3.5060000000000016], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.7765232358157869, 0.43092578237318613, 0.26350739318181027]}, {"name": "triangle", "size": [48.529, 56.184], "center": [-5.280833333333333, -0.3200000000000001], "color": [0.22099686669935337, 0.9016378822168126, 0.9301292163785994]}], "medium": [{"name": "triangle", "size": [36.98594075805096, 32.54599999999999], "center": [-0.7585593751921778, 0.18780515753438684], "color": [0.622487038101449, 0.3362118742445869, 0.8307795328164884]}, {"name": "triangle", "size": [30.314, 16.273], "center": [-3.5060000000000002, -1.7348333333333354], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "hard": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [-7.012000000000003, -3.4696666666666665], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [28.63949368641316, 32.546], "center": [0.1651683863674629, 0.6675229453784546], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [17.471746709332628, 32.546], "center": [-1.8626294219201884, 3.7642686636096685], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 10.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}, {"name": "square", "size": [31.849999999999998, 31.85], "center": [30.0, 0.0], "color": [0.6013343833220683, 0.7999233512102812, 0.9341556147510564]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 10.000333333333334], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}, {"name": "triangle", "size": [60.62799999999999, 32.546], "center": [30.0, 0.0003333333333325565], "color": [0.858802885279082, 0.5077896100031754, 0.7118055904962444]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_102.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_102.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_102.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_102.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_102.png", "instructions": [["translate", [30, 10]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "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 slightly downward. \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"}
2steps_easy_all_last_71
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. 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]]]
easy
{"instance_id": 71, "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_2_steps/shape_B_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_71.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_71.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_71.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_71.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_71.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_71.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_71.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [78.186, 80.882], "center": [-8.881784197001253e-17, -5.329070518200751e-16], "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": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.01909331303423989, 0.9831039299064597, 0.40179533827613945]}, {"name": "circle", "size": [68.888, 74.749], "center": [1.2434497875801752e-15, -0.0001249999999992202], "color": [0.2560945549589283, 0.7385353415371732, 0.5663898001735471]}], "medium": [{"name": "circle", "size": [64.042, 64.042], "center": [-6.217248937900876e-16, -8.881784197001252e-16], "color": [0.267622688217965, 0.7454231087454316, 0.7296825037169442]}, {"name": "circle", "size": [64.042, 64.042], "center": [-39.99999999999999, -39.99999999999999], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.396, 34.186], "center": [0.00017500000000101324, -7.499999999970308e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [77.942, 70.58], "center": [0.00017500000000101324, -8.881784197001253e-17], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}], "hard": [{"name": "circle", "size": [40.824, 44.812], "center": [6.217248937900876e-16, -5.0000000000594016e-05], "color": [0.09731780771417398, 0.6151394596054255, 0.40538914971695694]}, {"name": "circle", "size": [32.022, 32.022000000000006], "center": [-3.552713678800501e-16, 1.7763568394002506e-16], "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": [-6.217248937900876e-16, -8.881784197001252e-16], "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]}], "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]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_71.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_71.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_71.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_71.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_71.png", "instructions": [["translate", [-30, -30]], ["translate", [-10, -10]]], "correct_answer": {"easy": "B", "medium": "B", "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 downward. <shapeB_step_0>\n- Shift the circle a little to the left and slightly downward. \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"}
2steps_easy_all_last_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. 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]]
easy
{"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. \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_easy_all_last_83
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> - Reduce the size of the hexagon, making it smaller. 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], ['scale', 0.5]]
easy
{"instance_id": 83, "shape_A": {"name": "square", "facecolor": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.17672188229552, 34.17672188229552]}, "shape_B": {"name": "hexagon", "facecolor": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.59823408801311, 59.407813374971]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_83.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_83.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_83.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.598, 59.408], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.04773867957137401, 0.1230693381260829, 0.3330258924025967]}, {"name": "hexagon", "size": [86.79400000000001, 72.872], "center": [0.0, 0.0], "color": [0.25226113544660544, 0.45485415949529595, 0.2287161854393761]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "medium": [{"name": "hexagon", "size": [75.148, 70.57400000000001], "center": [-5.921189464667501e-16, 2.3684757858670005e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [68.59800000000001, 59.408], "center": [-4.144832625267251e-15, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.7497046666984698, 0.9401172130049587, 0.46001191863997726]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [46.686, 46.686], "center": [0.0, 2.220446049250313e-16], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}, {"name": "square", "size": [23.344, 23.344], "center": [0.0, 0.00025000000000030553], "color": [0.5414976639884934, 0.5200134721348841, 0.6729638558622744]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [59.408, 68.598], "center": [0.0, -1.1842378929335002e-15], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}, {"name": "hexagon", "size": [29.704, 34.3], "center": [0.0, 0.0], "color": [0.03670040876722924, 0.018742049944734163, 0.32614363955700676]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_83.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_83.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_83.png", "instructions": [["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "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- Reduce the size of the hexagon, making it smaller. \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"}
2steps_easy_all_last_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. 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]], ['translate', [10, 30]]]
easy
{"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. \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_easy_all_last_107
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left. <shapeB_step_0> - Rotate the circle by 30 degrees counter-clockwise around its center. 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, 0]], ['rotate', 30]]
easy
{"instance_id": 107, "shape_A": {"name": "ellipse", "facecolor": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949], "edgecolor": "black", "center": [-1.7763568394002506e-16, -1.9984014443252818e-16], "size": [34.033434761006156, 22.14444038381347]}, "shape_B": {"name": "circle", "facecolor": [0.5524449592789532, 0.739848035268453, 0.27790397963115987], "edgecolor": "black", "center": [2.4868995751603505e-15, -1.5321077739827161e-15], "size": [65.96650335272558, 65.96650335272558]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_107.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_107.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_107.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_107.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_107.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_107.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_107.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.832, 76.394], "center": [-1.3322676295501878e-15, -0.00015000000000160442], "color": [0.8432780839676276, 0.7868459657567801, 0.4661218588678179]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.960540391190263, 0.03953837598150145, 0.7093700706863554]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [45.537, 42.689], "center": [0.0001499999999991175, -0.0003999999999985349], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "medium": [{"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [100.0, 86.5940601859146], "center": [-2.1316282072803005e-15, 3.552713678800501e-16], "color": [0.6344073530297935, 0.47058207938789454, 0.4456150952095499]}, {"name": "circle", "size": [88.923, 81.892], "center": [0.0005250000000016186, 4.99999999980183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "hard": [{"name": "circle", "size": [69.40100000000001, 75.604], "center": [-2.4999999996211385e-05, 0.0001249999999988205], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [35.16, 33.398], "center": [7.993605777301127e-16, -3.9968028886505636e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.966, 65.966], "center": [5.329070518200751e-16, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [34.034, 22.144], "center": [-9.999999999999998, 3.7192471324942745e-16], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}, {"name": "ellipse", "size": [31.454, 25.594], "center": [-9.999999999999998, 1.3322676295501878e-15], "color": [0.0673208933399525, 0.2941452644487278, 0.5818350345899949]}], "tranformed_B_sequence_info": [{"name": "circle", "size": [65.966, 65.966], "center": [-10.0, 7.105427357601002e-16], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}, {"name": "circle", "size": [65.876, 65.876], "center": [-9.999975000000003, 2.499999999843183e-05], "color": [0.5524449592789532, 0.739848035268453, 0.27790397963115987]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_107.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_107.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_107.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_107.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_107.png", "instructions": [["translate", [-10, 0]], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "B", "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 left. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. \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": "D"}
2steps_easy_all_last_113
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0> - Rotate the triangle by 30 degrees clockwise around its center. 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], ['rotate', -30]]
easy
{"instance_id": 113, "shape_A": {"name": "rectangle", "facecolor": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.868187468576263, 21.258376675122513]}, "shape_B": {"name": "triangle", "facecolor": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826], "edgecolor": "black", "center": [1.7763568394002505e-15, 0.0], "size": [14.163207897571025, 60.26182739498849]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_113.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_113.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_113.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_113.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_113.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_113.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_113.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.9174013412547419, 0.8976848217443251, 0.048716666844519474]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [58.44800000000001, 56.611999999999995], "center": [-7.453999999999998, 6.498999999999999], "color": [0.9578606371994135, 0.812767027978977, 0.5577051205301008]}], "medium": [{"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.42071836245344063, 0.7434459968681485, 0.3892564707564702]}, {"name": "triangle", "size": [20.097, 32.805], "center": [0.27383333333333315, -5.337833333333333], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "hard": [{"name": "triangle", "size": [7.299366997444494, 31.058000000000007], "center": [0.4778457789873111, 4.215316152799443], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [-5.544666666666667, 2.0199999999999996], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [60.262, 14.163], "center": [-8.179, 0.9275000000000002], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [21.258, 30.868], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}, {"name": "rectangle", "size": [33.844, 37.362], "center": [0.0, 0.0], "color": [0.2888189045093995, 0.7653092430006802, 0.08105328404736856]}], "tranformed_B_sequence_info": [{"name": "triangle", "size": [60.262, 14.163], "center": [0.0, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}, {"name": "triangle", "size": [57.12, 31.058], "center": [0.00033333333333196435, 0.0], "color": [0.5542135278245702, 0.7185928620344595, 0.1796318281910826]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_113.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_113.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_113.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_113.png", "instructions": [["rotate", -90], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 30 degrees clockwise around its center. \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"}
2steps_easy_all_last_57
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0> - Shift the hexagon a little to the left and significantly upward. 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]]]
easy
{"instance_id": 57, "shape_A": {"name": "square", "facecolor": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.647300805864646, 32.647300805864646]}, "shape_B": {"name": "hexagon", "facecolor": [0.396029667470992, 0.8729681752351013, 0.003848845673840251], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.17929849344874, 55.58090289239097]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step0_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_step1_57.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_57.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_2_steps/answer_choices_hard_57.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.0008204800870083018, 0.07438559226596286, 0.15505254018175607]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, -0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.43405344003550683, 0.3047027957821804, 0.776971482550056]}], "medium": [{"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.79, 32.09], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [55.58, 64.18], "center": [0.0, 0.0], "color": [0.006273944935232811, 0.8988539571637837, 0.5382262656289836]}], "hard": [{"name": "hexagon", "size": [48.132383920224356, 55.58000000000001], "center": [2.3684757858670005e-15, -5.921189464667501e-16], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.58], "center": [0.0, 0.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [27.790000000000003, 32.09], "center": [-1.1842378929335002e-15, 0.0003333333333337407], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.648, 32.647999999999996], "center": [-10.0, 30.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}, {"name": "square", "size": [32.647999999999996, 32.647999999999996], "center": [-20.0, 60.0], "color": [0.057013058806509975, 0.8751833843588157, 0.4222483367459575]}], "tranformed_B_sequence_info": [{"name": "hexagon", "size": [64.18, 55.58], "center": [-10.000000000000002, 30.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}, {"name": "hexagon", "size": [64.18, 55.580000000000005], "center": [-20.0, 60.0], "color": [0.396029667470992, 0.8729681752351013, 0.003848845673840251]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_easy_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_easy_57.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_medium_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_medium_57.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_C_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_B_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/distractor_D_hard_57.png", "output_dir/2d_transformation/2d_visual_analogy_2_steps/shape_B_prime_57.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_2_steps/composed_transformation_A_57.png", "instructions": [["translate", [-10, 30]], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "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 left and significantly upward. <shapeB_step_0>\n- Shift the hexagon a little to the left and significantly upward. \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": "D"}