Datasets:
VisSim
/
2d_text_instruct_train

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330
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1steps_easy_no_1
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 30 degrees counter-clockwise around its center. <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
[['rotate', 30]]
easy
{"instance_id": 1, "shape_A": {"name": "triangle", "facecolor": [0.8978113473991952, 0.4882294775502505, 0.2729353117632566], "edgecolor": "black", "center": [2.9605947323337506e-16, -1.1842378929335002e-15], "size": [40.176251787959174, 53.6941897097028]}, "shape_B": {"name": "rectangle", "facecolor": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.31499878418081, 20.41973731081]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_1.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_1.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_1.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [33.31399999999999, 20.42], "center": [1.7763568394002505e-15, 0.0], "color": [0.8392288462845982, 0.6213356565861579, 0.23854494188890585]}, {"name": "rectangle", "size": [20.42, 33.314], "center": [0.0, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [39.062, 34.342], "center": [0.0, -4.163336342344337e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [16.656, 10.21], "center": [0.0, 0.0], "color": [0.04025813754076657, 0.031029998880712117, 0.247283303732877]}], "medium": [{"name": "rectangle", "size": [39.062, 23.943268295611457], "center": [0.0, 0.0], "color": [0.212119850179739, 0.7978323568280965, 0.34033884316428364]}, {"name": "rectangle", "size": [20.42, 33.314], "center": [0.0, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [17.17, 19.53], "center": [8.326672684688674e-17, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [39.062, 34.342], "center": [0.0, -4.163336342344337e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}], "hard": [{"name": "rectangle", "size": [39.062, 23.94326829561146], "center": [0.0, -8.881784197001252e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [46.416, 43.05], "center": [0.0, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [20.42, 33.314], "center": [0.0, 0.0], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}, {"name": "rectangle", "size": [39.062, 34.342], "center": [0.0, -4.163336342344337e-16], "color": [0.5382205676102315, 0.7346340607563577, 0.7998681709412677]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [59.525000000000006, 31.971999999999998], "center": [5.921189464667501e-16, 0.0], "color": [0.8978113473991952, 0.4882294775502505, 0.2729353117632566]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_1.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_1.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_1.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_1.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_1.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees counter-clockwise around its center. <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": "D"}
1steps_easy_no_2
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> 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]]]
easy
{"instance_id": 2, "shape_A": {"name": "pentagon", "facecolor": [0.6311610168546405, 0.9209290987802967, 0.9974259229562153], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [54.68650205087265, 57.50079108222111]}, "shape_B": {"name": "circle", "facecolor": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885], "edgecolor": "black", "center": [-5.329070518200751e-16, -2.2204460492503132e-17], "size": [67.46766366737927, 67.46766366737927]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_2.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_2.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_2.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_2.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_2.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_2.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_2.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [39.579, 37.695], "center": [0.00014999999999885106, 0.00017499999999963655], "color": [0.459570499176731, 0.6668407172664808, 0.898908531700321]}, {"name": "circle", "size": [67.468, 67.468], "center": [10.000000000000002, -30.0], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}, {"name": "circle", "size": [58.752, 95.604], "center": [1.7763568394002506e-16, 2.6645352591003757e-15], "color": [0.4652532555253015, 0.2876316657484388, 0.5465981376020284]}, {"name": "circle", "size": [67.468, 67.468], "center": [0.0, -3.552713678800501e-16], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}], "medium": [{"name": "circle", "size": [67.468, 57.286103920222864], "center": [-1.9539925233402757e-15, -2.4646951146678474e-15], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}, {"name": "circle", "size": [33.734, 33.733999999999995], "center": [0.0002000000000006885, -0.00019999999999971153], "color": [0.9034037040729679, 0.6463406088905228, 0.3089328839526361]}, {"name": "circle", "size": [67.468, 67.468], "center": [0.0, -3.552713678800501e-16], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}, {"name": "circle", "size": [67.468, 67.468], "center": [10.000000000000002, -30.0], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}], "hard": [{"name": "circle", "size": [67.468, 67.468], "center": [0.0, -3.552713678800501e-16], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}, {"name": "circle", "size": [67.468, 67.468], "center": [10.000000000000002, -30.0], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}, {"name": "circle", "size": [82.536, 86.35], "center": [-1.4210854715202005e-15, -1.2434497875801752e-15], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}, {"name": "circle", "size": [40.04014560746436, 67.468], "center": [-7.105427357601002e-16, 0.0], "color": [0.4099786197463644, 0.6547813264277338, 0.15436121877154885]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [54.687, 57.5], "center": [9.999999999999998, -30.0], "color": [0.6311610168546405, 0.9209290987802967, 0.9974259229562153]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_2.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_2.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_2.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_2.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_2.png", "instructions": [["translate", [10, -30]]], "correct_answer": {"easy": "B", "medium": "D", "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "B"}
1steps_easy_no_6
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
easy
{"instance_id": 6, "shape_A": {"name": "pentagon", "facecolor": [0.7397451709207191, 0.7904980852341499, 0.6893105411839751], "edgecolor": "black", "center": [-3.552713678800501e-16, 0.0], "size": [59.65784078942355, 62.72796596969971]}, "shape_B": {"name": "rectangle", "facecolor": [0.20715811540958362, 0.1441915612835769, 0.8206907414846971], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.72929749092819, 20.488428936790235]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_6.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_6.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_6.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_6.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_6.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_6.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_6.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [31.73, 20.488], "center": [0.0, 0.0], "color": [0.7980551738027466, 0.7131085326783857, 0.08203800967314856]}, {"name": "rectangle", "size": [20.488, 31.73], "center": [0.0, 0.0], "color": [0.20715811540958362, 0.1441915612835769, 0.8206907414846971]}, {"name": "rectangle", "size": [33.608000000000004, 37.721999999999994], "center": [8.881784197001252e-16, 1.7763568394002505e-15], "color": [0.15422096386551842, 0.7116771547786167, 0.6339008819630509]}, {"name": "rectangle", "size": [16.804, 18.861], "center": [-0.00025000000000016676, -1.7763568394002505e-15], "color": [0.20715811540958362, 0.1441915612835769, 0.8206907414846971]}], "medium": [{"name": "rectangle", "size": [15.864, 10.244], "center": [0.0, 0.0], "color": [0.4578616329056946, 0.13548952568067607, 0.006767369425471514]}, {"name": "rectangle", "size": [37.722, 33.608000000000004], "center": [0.0, 0.0], "color": [0.20715811540958362, 0.1441915612835769, 0.8206907414846971]}, {"name": "rectangle", "size": [31.729999999999997, 20.488], "center": [8.881784197001252e-16, 0.0], "color": [0.20715811540958362, 0.1441915612835769, 0.8206907414846971]}, {"name": "rectangle", "size": [20.488, 31.73], "center": [0.0, 0.0], "color": [0.20715811540958362, 0.1441915612835769, 0.8206907414846971]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [62.728, 59.658], "center": [-7.105427357601002e-16, 1.0658141036401502e-15], "color": [0.7397451709207191, 0.7904980852341499, 0.6893105411839751]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_6.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_6.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_6.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_6.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_6.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_6.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_6.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_6.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_6.png", "instructions": [["rotate", 90]], "correct_answer": {"easy": "B", "medium": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D"}
1steps_easy_no_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]]]
easy
{"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]}], "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"}
1steps_easy_no_18
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse 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.
A
[['translate', [10, 10]]]
easy
{"instance_id": 18, "shape_A": {"name": "triangle", "facecolor": [0.5905572323320124, 0.10172215656513084, 0.9252903155418308], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.550443746458015, 67.12028415410325]}, "shape_B": {"name": "ellipse", "facecolor": [0.9778533292466641, 0.06471041115902354, 0.975207494192469], "edgecolor": "black", "center": [-6.217248937900876e-16, 2.2204460492503132e-17], "size": [33.21915589061473, 22.001177644584228]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_18.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_18.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_18.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_18.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_18.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_18.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_18.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [9.999999999999996, 9.999999999999996], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [12.608, 15.38], "center": [-8.326672684688674e-16, 2.6645352591003756e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [2.6645352591003756e-16, 1.9984014443252818e-16], "color": [0.679204362086623, 0.15273665117288082, 0.6219667615237282]}, {"name": "ellipse", "size": [22.002000000000002, 33.22], "center": [-2.220446049250313e-16, -1.7763568394002506e-16], "color": [0.09633362859615269, 0.07651725903958528, 0.7516097465153702]}], "medium": [{"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [2.6645352591003756e-16, 1.9984014443252818e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [18.03792054616385, 22.002000000000002], "center": [-5.995204332975846e-16, -4.884981308350689e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [9.999999999999996, 9.999999999999996], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [22.002, 33.22], "center": [1.9984014443252818e-16, -8.881784197001253e-17], "color": [0.41192960255793676, 0.056449246862828706, 0.24422888642261864]}], "hard": [{"name": "ellipse", "size": [16.61, 11.001000000000001], "center": [-0.00020000000000015562, 0.0002750000000003583], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [9.999999999999996, 9.999999999999996], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [33.22, 22.002000000000002], "center": [2.6645352591003756e-16, 1.9984014443252818e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}, {"name": "ellipse", "size": [18.012484113584037, 22.002], "center": [-1.9984014443252818e-16, -2.220446049250313e-16], "color": [0.9778533292466641, 0.06471041115902354, 0.975207494192469]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.55, 67.12], "center": [10.0, 9.999666666666668], "color": [0.5905572323320124, 0.10172215656513084, 0.9252903155418308]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_18.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_18.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_18.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_18.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_18.png", "instructions": [["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the 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_easy_no_21
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, 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.
C
[['scale', 0.5]]
easy
{"instance_id": 21, "shape_A": {"name": "ellipse", "facecolor": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152], "edgecolor": "black", "center": [6.661338147750939e-16, -4.4408920985006264e-17], "size": [30.959257738577843, 23.389893584814573]}, "shape_B": {"name": "rectangle", "facecolor": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.139825876094516, 22.615399797592268]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_21.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_21.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_21.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.4665867276160025, 0.3614718431029983, 0.7590217146535565]}, {"name": "rectangle", "size": [51.846000000000004, 48.586], "center": [-4.440892098500626e-16, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [35.156, 38.275999999999996], "center": [2.220446049250313e-16, 0.0], "color": [0.8838024416656812, 0.22454820608321313, 0.27793303071254105]}], "medium": [{"name": "rectangle", "size": [35.156, 38.276], "center": [0.0, 0.0], "color": [0.6775644574745741, 0.559258051605546, 0.2949167702341773]}, {"name": "rectangle", "size": [45.964, 37.494], "center": [0.0, 8.881784197001252e-16], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}], "hard": [{"name": "rectangle", "size": [15.57, 11.308], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [31.14, 22.616], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [3.4622966962699824, 11.308], "center": [2.7755575615628914e-17, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}, {"name": "rectangle", "size": [38.276, 35.156], "center": [0.0, 0.0], "color": [0.20908632134747052, 0.19608679402070883, 0.8211234706523723]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.48, 11.694], "center": [-1.9984014443252818e-16, 2.2204460492503132e-17], "color": [0.4940113214438937, 0.5517851873768139, 0.6598384211869152]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_21.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_21.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_21.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_21.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_21.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\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": "A"}
1steps_easy_no_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.
D
[['scale', 0.5]]
easy
{"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]}], "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_easy_no_30
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the left by a significant amount. <shapeB_step_0> 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]]]
easy
{"instance_id": 30, "shape_A": {"name": "rectangle", "facecolor": [0.1861607264879731, 0.02174996911740823, 0.8092213318989598], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.53480378940162, 22.104929924975863]}, "shape_B": {"name": "ellipse", "facecolor": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904], "edgecolor": "black", "center": [-5.329070518200751e-16, -1.1657341758564144e-16], "size": [34.76990970140278, 22.003750636915715]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_30.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_30.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_30.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_30.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_30.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_30.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_30.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [16.018, 12.884], "center": [-1.3322676295501878e-16, 5.773159728050814e-16], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}, {"name": "ellipse", "size": [34.769999999999996, 22.004], "center": [-7.105427357601002e-16, -4.551914400963141e-16], "color": [0.2361835826766654, 0.20332198170236404, 0.09016689452629079]}, {"name": "ellipse", "size": [34.769999999999996, 22.004], "center": [-30.0, -4.551914400963141e-16], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}, {"name": "ellipse", "size": [25.768, 32.038], "center": [-3.552713678800501e-16, 1.7763568394002506e-16], "color": [0.8829547403161856, 0.30128233363871837, 0.08037527043069637]}], "medium": [{"name": "ellipse", "size": [34.769999999999996, 22.004], "center": [-7.105427357601002e-16, -4.551914400963141e-16], "color": [0.31109207411718, 0.6752729328071699, 0.4806520568939049]}, {"name": "ellipse", "size": [13.92590934192361, 22.004000000000005], "center": [0.0002531523239767353, -6.328808099418382e-05], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}, {"name": "ellipse", "size": [34.769999999999996, 22.004], "center": [-30.0, -4.551914400963141e-16], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}, {"name": "ellipse", "size": [25.768, 32.038], "center": [4.2188474935755947e-16, 1.7763568394002506e-16], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}], "hard": [{"name": "ellipse", "size": [17.697704975341786, 22.004], "center": [1.3322676295501878e-16, -3.552713678800501e-16], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}, {"name": "ellipse", "size": [34.769999999999996, 22.004], "center": [-30.0, -4.551914400963141e-16], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}, {"name": "ellipse", "size": [22.004, 34.77], "center": [-4.551914400963141e-16, 3.552713678800501e-16], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}, {"name": "ellipse", "size": [34.769999999999996, 22.004], "center": [-7.105427357601002e-16, -4.551914400963141e-16], "color": [0.3993334805486505, 0.8340964111953133, 0.25257476958164904]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [32.534000000000006, 22.104], "center": [-30.0, 0.0], "color": [0.1861607264879731, 0.02174996911740823, 0.8092213318989598]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_30.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_30.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_30.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_30.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_30.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the left by a significant amount. <shapeB_step_0>\n\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": "B"}
1steps_easy_no_32
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, 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.
C
[['scale', 0.5]]
easy
{"instance_id": 32, "shape_A": {"name": "circle", "facecolor": [0.7394586117581168, 0.9485036911994007, 0.8893969805649186], "edgecolor": "black", "center": [3.552713678800501e-16, 7.771561172376096e-16], "size": [61.88847376204968, 61.88847376204968]}, "shape_B": {"name": "rectangle", "facecolor": [0.3899474964951847, 0.008537905106171473, 0.3223843084808412], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.542408324092133, 20.504482463979144]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_32.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_32.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_32.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_32.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_32.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_32.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [37.568, 33.528], "center": [0.0, 0.0], "color": [0.3899474964951847, 0.008537905106171473, 0.3223843084808412]}, {"name": "rectangle", "size": [20.504, 31.542], "center": [-1.7763568394002505e-15, 0.0], "color": [0.4439524625802992, 0.7439423788650937, 0.7399127647920276]}, {"name": "rectangle", "size": [15.772, 10.252], "center": [0.0, 0.0], "color": [0.3899474964951847, 0.008537905106171473, 0.3223843084808412]}, {"name": "rectangle", "size": [31.542, 20.503999999999998], "center": [0.0, 8.881784197001252e-16], "color": [0.38041656501005805, 0.446812387097976, 0.39917820095000955]}], "medium": [{"name": "rectangle", "size": [31.542, 20.503999999999998], "center": [0.0, -8.881784197001252e-16], "color": [0.8474148083403567, 0.17735838565661943, 0.009273947238536917]}, {"name": "rectangle", "size": [43.942, 43.616], "center": [0.0, 2.220446049250313e-16], "color": [0.3899474964951847, 0.008537905106171473, 0.3223843084808412]}, {"name": "rectangle", "size": [15.772, 10.252], "center": [0.0, 0.0], "color": [0.3899474964951847, 0.008537905106171473, 0.3223843084808412]}, {"name": "rectangle", "size": [37.568, 33.528], "center": [0.0, 3.608224830031759e-16], "color": [0.3899474964951847, 0.008537905106171473, 0.3223843084808412]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [30.944, 30.944], "center": [-3.552713678800501e-16, 8.881784197001253e-17], "color": [0.7394586117581168, 0.9485036911994007, 0.8893969805649186]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_32.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_32.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_32.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_32.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_32.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_32.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_32.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_32.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_32.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\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"}
1steps_easy_no_34
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> 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]]
easy
{"instance_id": 34, "shape_A": {"name": "square", "facecolor": [0.03803125644545802, 0.3880638493931169, 0.08360802950368373], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.254010830888145, 31.254010830888145]}, "shape_B": {"name": "hexagon", "facecolor": [0.9745076014769779, 0.768549212891097, 0.7249101573073962], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.46821289448482, 60.16123712212956]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_34.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_34.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_34.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [34.734, 30.08], "center": [5.921189464667501e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [69.468, 60.162000000000006], "center": [-1.1842378929335002e-15, 1.1842378929335002e-15], "color": [0.038430021282184645, 0.901519612251167, 0.6843166070704308]}, {"name": "hexagon", "size": [79.014, 52.524], "center": [-2.9605947323337506e-16, 0.0], "color": [0.005901607731084391, 0.003420953174767316, 0.0584175423808847]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "medium": [{"name": "hexagon", "size": [30.08, 34.734], "center": [0.0, 0.00033333333333344467], "color": [0.33150863537640063, 0.08994697267781104, 0.9315626464918535]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [69.468, 60.162000000000006], "center": [-1.1842378929335002e-15, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162000000000006, 52.102640697875295], "center": [-8.881784197001252e-16, 2.3684757858670005e-15], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}], "hard": [{"name": "hexagon", "size": [69.468, 60.162], "center": [1.1842378929335002e-15, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [72.942, 74.628], "center": [-8.881784197001252e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162, 69.468], "center": [0.0, -5.921189464667501e-16], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}, {"name": "hexagon", "size": [60.162000000000006, 52.10264069787529], "center": [-8.881784197001252e-16, 0.0], "color": [0.9745076014769779, 0.768549212891097, 0.7249101573073962]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [42.694, 42.694], "center": [0.0, 2.220446049250313e-16], "color": [0.03803125644545802, 0.3880638493931169, 0.08360802950368373]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_34.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_34.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_34.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_34.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 30 degrees counter-clockwise around its center. <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": "C"}
1steps_easy_no_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.
A
[['translate', [-30, 10]]]
easy
{"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]}], "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_easy_no_40
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Shift the triangle 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', [0, -30]]]
easy
{"instance_id": 40, "shape_A": {"name": "square", "facecolor": [0.6142088067402122, 0.4600236536420218, 0.35507707138749367], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.308039114832074, 31.308039114832074]}, "shape_B": {"name": "triangle", "facecolor": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223], "edgecolor": "black", "center": [-5.921189464667501e-16, 0.0], "size": [32.581609711413556, 63.26216107421129]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_40.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_40.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_40.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_40.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_40.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [32.581, 63.262], "center": [0.0, -30.000333333333334], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [16.291, 31.631], "center": [-0.49716666666666676, -4.2781666666666665], "color": [0.7222494760545234, 0.8450396025800783, 0.4308890418251925]}, {"name": "triangle", "size": [32.581, 63.262], "center": [-0.9944999999999998, -8.556333333333333], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [32.957, 7.470000000000001], "center": [5.2444999999999995, -1.172666666666667], "color": [0.1040928908406572, 0.9607736526302608, 0.2518499276203533]}], "medium": [{"name": "triangle", "size": [14.939, 65.91399999999999], "center": [-2.345166666666667, -10.488999999999997], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [63.262, 32.581], "center": [-8.556333333333333, 0.9945000000000004], "color": [0.7920937708004387, 0.8630841843083558, 0.5129801450350091]}, {"name": "triangle", "size": [32.581, 63.262], "center": [0.0, -30.000333333333334], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [32.581, 63.262], "center": [-0.9944999999999998, -8.556333333333333], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}], "hard": [{"name": "triangle", "size": [56.866, 45.150000000000006], "center": [-6.63, -3.586], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [22.575, 28.433999999999997], "center": [1.7928333333333335, -3.315], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [32.581, 63.262], "center": [0.0, -30.000333333333334], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}, {"name": "triangle", "size": [32.581, 63.262], "center": [-0.9944999999999998, -8.556333333333333], "color": [0.9531054417684451, 0.8561563486206707, 0.5258218063769223]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.308, 31.308000000000003], "center": [0.0, -30.000000000000004], "color": [0.6142088067402122, 0.4600236536420218, 0.35507707138749367]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_40.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_40.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_40.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_40.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_40.png", "instructions": [["translate", [0, -30]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle 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": "C", "hard": "C"}
1steps_easy_no_49
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon 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.
C
[['translate', [0, -30]]]
easy
{"instance_id": 49, "shape_A": {"name": "circle", "facecolor": [0.18093254558030603, 0.4314490832419994, 0.9574352142829335], "edgecolor": "black", "center": [-4.440892098500626e-16, -4.440892098500626e-16], "size": [60.81553032475188, 60.81553032475188]}, "shape_B": {"name": "hexagon", "facecolor": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.94196374578176, 52.77728876035727]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_49.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_49.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_49.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_49.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_49.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_49.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_49.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [30.47, 26.388], "center": [2.9605947323337506e-16, 0.0], "color": [0.2761109719552013, 0.9614449283634714, 0.3109917407202172]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -30.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [52.778000000000006, 60.942], "center": [1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.05342044426021375, 0.09597448256186336, 0.5139136324681498]}], "medium": [{"name": "hexagon", "size": [30.470999999999997, 26.389000000000003], "center": [0.00033333333333344467, -0.00016666666666746247], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -30.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [45.70767752945426, 52.778000000000006], "center": [-2.3684757858670005e-15, -1.7763568394002505e-15], "color": [0.2534656554153031, 0.1970414519525009, 0.68218193191559]}], "hard": [{"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -30.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [60.942, 52.778000000000006], "center": [5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [45.707677529454244, 52.778000000000006], "center": [0.0, 0.0], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}, {"name": "hexagon", "size": [31.608, 36.948], "center": [0.0001666666666665743, 4.440892098500626e-16], "color": [0.43373484988820554, 0.7728025549058956, 0.5031328904370254]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [60.816, 60.816], "center": [1.7763568394002506e-16, -30.000000000000007], "color": [0.18093254558030603, 0.4314490832419994, 0.9574352142829335]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_49.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_49.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_49.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_49.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_49.png", "instructions": [["translate", [0, -30]]], "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 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": "C", "medium": "B", "hard": "A"}
1steps_easy_no_50
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 30 degrees clockwise around its center. <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
[['rotate', -30]]
easy
{"instance_id": 50, "shape_A": {"name": "square", "facecolor": [0.3697949339715175, 0.46690448208422963, 0.7277642070532165], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.36094068702788, 32.36094068702788]}, "shape_B": {"name": "rectangle", "facecolor": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.286231743948704, 21.96513732473028]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_50.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_50.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_50.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_50.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_50.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_50.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_50.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.965999999999998, 34.286], "center": [1.7763568394002505e-15, 0.0], "color": [0.3991009562905471, 0.14259537550133838, 0.7865273798998548]}, {"name": "rectangle", "size": [34.286, 21.965999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [17.144, 10.982], "center": [0.0, 0.0], "color": [0.5080455697144445, 0.8147659476227349, 0.18536477357460424]}, {"name": "rectangle", "size": [40.676, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}], "medium": [{"name": "rectangle", "size": [40.676, 26.059879134340548], "center": [0.0, 0.0], "color": [0.22001071764368918, 0.7703198899172079, 0.22600547301955387]}, {"name": "rectangle", "size": [10.983, 17.144], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [40.676, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [23.170458962841977, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}], "hard": [{"name": "rectangle", "size": [17.144000000000002, 10.983999999999998], "center": [-1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [34.286, 21.966], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [40.676, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}, {"name": "rectangle", "size": [23.170458962841977, 36.166], "center": [0.0, 0.0], "color": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [44.206, 44.206], "center": [2.220446049250313e-16, 0.0], "color": [0.3697949339715175, 0.46690448208422963, 0.7277642070532165]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_50.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_50.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_50.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_50.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_50.png", "instructions": [["rotate", -30]], "correct_answer": {"easy": "D", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees clockwise around its center. <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": "C", "hard": "C"}
1steps_easy_no_51
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the left by a significant amount 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.
C
[['translate', [-30, -30]]]
easy
{"instance_id": 51, "shape_A": {"name": "triangle", "facecolor": [0.12079316947230123, 0.5056663886228634, 0.15839492402795619], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.54358360134741, 61.698629912770784]}, "shape_B": {"name": "hexagon", "facecolor": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.66220641089646, 57.731164224158206]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_51.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_51.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_51.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.5660735231212004, 0.717354907212308, 0.6650040521533221]}, {"name": "hexagon", "size": [85.666, 62.816], "center": [0.0, -1.1842378929335002e-15], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [28.866, 33.332], "center": [0.0, 5.921189464667501e-16], "color": [0.3461061161772392, 0.990389530884869, 0.8580643366319441]}], "medium": [{"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.00631291035985071, 0.6690023862962075, 0.22911517960408212]}, {"name": "hexagon", "size": [57.732, 66.662], "center": [0.0, 5.921189464667501e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [41.424, 41.094], "center": [0.0, -8.881784197001252e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}], "hard": [{"name": "hexagon", "size": [49.99825723800666, 57.732], "center": [-1.1842378929335002e-15, 2.9605947323337506e-16], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [5.921189464667501e-16, 0.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [57.732, 66.664], "center": [-5.921189464667501e-16, 0.00016666666666627825], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}, {"name": "hexagon", "size": [66.662, 57.732], "center": [-30.0, -30.0], "color": [0.4913921961537099, 0.15597091910560223, 0.09977668042645416]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [32.543, 61.698], "center": [-30.0, -30.000000000000004], "color": [0.12079316947230123, 0.5056663886228634, 0.15839492402795619]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_51.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_51.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_51.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_51.png", "instructions": [["translate", [-30, -30]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the left by a significant amount and 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": "C", "medium": "D", "hard": "D"}
1steps_easy_no_52
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right 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]]]
easy
{"instance_id": 52, "shape_A": {"name": "rectangle", "facecolor": [0.2723996085304491, 0.4266246528659664, 0.18647147687439658], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.64508098964029, 22.313362710681762]}, "shape_B": {"name": "ellipse", "facecolor": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799], "edgecolor": "black", "center": [-8.881784197001253e-17, -5.273559366969494e-16], "size": [32.1328322701048, 21.173853687474434]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_52.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_52.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_52.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_52.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_52.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_52.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_52.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [24.328, 29.736000000000004], "center": [-8.437694987151189e-16, 5.329070518200751e-16], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}, {"name": "ellipse", "size": [32.132000000000005, 21.174], "center": [-1.0658141036401502e-15, -6.661338147750939e-17], "color": [0.8966878526311555, 0.6119867125251313, 0.3955219281419029]}, {"name": "ellipse", "size": [32.132000000000005, 21.174], "center": [29.999999999999993, 10.0], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}, {"name": "ellipse", "size": [16.066000000000003, 10.585999999999999], "center": [2.2204460492503132e-17, 1.3322676295501878e-16], "color": [0.3073915519493571, 0.25739786614153226, 0.07299393260260756]}], "medium": [{"name": "ellipse", "size": [32.132000000000005, 21.174], "center": [-1.0658141036401502e-15, -6.661338147750939e-17], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}, {"name": "ellipse", "size": [32.132000000000005, 21.174], "center": [29.999999999999993, 10.0], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}, {"name": "ellipse", "size": [7.33, 19.312], "center": [-6.661338147750939e-17, -5.773159728050814e-16], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}, {"name": "ellipse", "size": [21.174, 32.132], "center": [7.216449660063518e-17, -1.3322676295501878e-16], "color": [0.6302972563337934, 0.7843690098285566, 0.3705440263202646]}], "hard": [{"name": "ellipse", "size": [24.328000000000003, 29.738], "center": [2.2204460492503132e-17, 2.499999999940883e-05], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}, {"name": "ellipse", "size": [32.132000000000005, 21.174], "center": [-1.0658141036401502e-15, -6.661338147750939e-17], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}, {"name": "ellipse", "size": [10.586, 16.066], "center": [-6.938893903907228e-17, -4.4408920985006264e-17], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}, {"name": "ellipse", "size": [32.132000000000005, 21.174], "center": [29.999999999999993, 10.0], "color": [0.5654326502239246, 0.3580934043031423, 0.5693097613449799]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [32.646, 22.314], "center": [30.0, 10.0], "color": [0.2723996085304491, 0.4266246528659664, 0.18647147687439658]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_52.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_52.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_52.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_52.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_52.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount 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": "C", "medium": "B", "hard": "D"}
1steps_easy_no_59
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon a little to the left. <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', [-10, 0]]]
easy
{"instance_id": 59, "shape_A": {"name": "triangle", "facecolor": [0.47100320235522863, 0.791458464321971, 0.9047635430115667], "edgecolor": "black", "center": [1.1842378929335002e-15, 1.1842378929335002e-15], "size": [23.96726426245082, 60.65410412979675]}, "shape_B": {"name": "pentagon", "facecolor": [0.5746360692558666, 0.2812092883594447, 0.08128226261070637], "edgecolor": "black", "center": [0.0, 0.0], "size": [61.74583491268232, 64.92341291473781]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_59.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_59.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_59.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_59.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_59.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_59.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [61.745999999999995, 64.924], "center": [-3.2594000000000007, 0.0], "color": [0.18681902318400068, 0.06119224997264594, 0.06972813905938813]}, {"name": "pentagon", "size": [81.513, 73.639], "center": [0.2825000000000017, 2.687500000000002], "color": [0.7232884946672761, 0.029739546828977392, 0.3907541573489661]}, {"name": "pentagon", "size": [32.462, 30.872999999999998], "center": [0.0, -1.6294999999999995], "color": [0.5746360692558666, 0.2812092883594447, 0.08128226261070637]}, {"name": "pentagon", "size": [61.745999999999995, 64.924], "center": [-10.000399999999999, 0.0], "color": [0.5746360692558666, 0.2812092883594447, 0.08128226261070637]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [23.967, 60.655], "center": [-9.999666666666668, 0.0], "color": [0.47100320235522863, 0.791458464321971, 0.9047635430115667]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_59.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_59.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_59.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_59.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_59.png", "instructions": [["translate", [-10, 0]]], "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 left. <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"}
1steps_easy_no_60
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Rotate the ellipse by 60 degrees counter-clockwise around its center. <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
[['rotate', 60]]
easy
{"instance_id": 60, "shape_A": {"name": "pentagon", "facecolor": [0.49019198489090854, 0.19644929202171846, 0.1695582648610665], "edgecolor": "black", "center": [7.105427357601002e-16, 1.4210854715202005e-15], "size": [60.55693246382455, 63.67332690145949]}, "shape_B": {"name": "ellipse", "facecolor": [0.6566484584970114, 0.4821618695592593, 0.618672805396829], "edgecolor": "black", "center": [1.7763568394002506e-16, -3.608224830031759e-16], "size": [33.80897576597485, 20.896693206056884]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_60.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_60.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_60.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_60.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_60.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_60.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_60.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [16.904, 10.448], "center": [-0.00010000000000038866, 5.0000000000172126e-05], "color": [0.49338230066934163, 0.025672692387785356, 0.7497924116162136]}, {"name": "ellipse", "size": [15.51, 47.494], "center": [2.2204460492503132e-17, 5.329070518200751e-16], "color": [0.5345451043246895, 0.8660013685276418, 0.7744668664447416]}, {"name": "ellipse", "size": [33.80800000000001, 20.896], "center": [0.0, -1.0658141036401502e-15], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}, {"name": "ellipse", "size": [24.75, 31.076], "center": [0.0, 2.220446049250313e-16], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}], "medium": [{"name": "ellipse", "size": [42.296, 44.762], "center": [9.769962616701378e-16, -8.881784197001253e-17], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}, {"name": "ellipse", "size": [24.75, 19.71175505213026], "center": [2.6645352591003756e-16, -6.439293542825908e-16], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}, {"name": "ellipse", "size": [24.75, 31.076], "center": [0.0, 2.220446049250313e-16], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}, {"name": "ellipse", "size": [16.904, 10.448], "center": [-2.6645352591003756e-16, 0.0001500000000001722], "color": [0.04152995643188517, 0.395809741606608, 0.4339727150591838]}], "hard": [{"name": "ellipse", "size": [10.448, 16.904], "center": [-3.774758283725532e-16, -8.881784197001253e-17], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}, {"name": "ellipse", "size": [24.75, 31.076], "center": [0.0, 2.220446049250313e-16], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}, {"name": "ellipse", "size": [38.372, 33.932], "center": [-7.105427357601002e-16, -3.9968028886505636e-16], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}, {"name": "ellipse", "size": [24.75, 15.297444391859916], "center": [0.0, 9.992007221626409e-17], "color": [0.6566484584970114, 0.4821618695592593, 0.618672805396829]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [63.325, 62.282], "center": [0.00019999999999953388, -0.00020000000000077733], "color": [0.49019198489090854, 0.19644929202171846, 0.1695582648610665]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_60.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_60.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_60.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_60.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_60.png", "instructions": [["rotate", 60]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 60 degrees counter-clockwise around its center. <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": "C", "hard": "B"}
1steps_easy_no_61
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon 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.
C
[['translate', [0, -30]]]
easy
{"instance_id": 61, "shape_A": {"name": "rectangle", "facecolor": [0.33814774939198466, 0.14069135521899234, 0.13666068195028946], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.954948191541106, 20.746753993982747]}, "shape_B": {"name": "pentagon", "facecolor": [0.2789002976815036, 0.13830010751201072, 0.9615273572275224], "edgecolor": "black", "center": [-1.0658141036401502e-15, -1.4210854715202005e-15], "size": [62.0675331004953, 65.26166640682905]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_61.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_61.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_61.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_61.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_61.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_61.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_61.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [62.06700000000001, 65.262], "center": [-3.2765000000000013, 0.0], "color": [0.0037801766143813476, 0.8323382764559064, 0.7886024213161021]}, {"name": "pentagon", "size": [31.917, 32.452], "center": [1.1023000000000003, -0.5541999999999998], "color": [0.2789002976815036, 0.13830010751201072, 0.9615273572275224]}, {"name": "pentagon", "size": [62.06700000000001, 65.262], "center": [7.105427357601002e-16, -30.0], "color": [0.2789002976815036, 0.13830010751201072, 0.9615273572275224]}, {"name": "pentagon", "size": [82.627, 78.625], "center": [3.3525000000000005, 0.4564999999999998], "color": [0.20173950903947746, 0.9593983011032434, 0.12431710235368054]}], "medium": [{"name": "pentagon", "size": [62.06700000000001, 65.262], "center": [-3.2765000000000013, 0.0], "color": [0.9089934301763102, 0.1287678644435818, 0.4502512255747585]}, {"name": "pentagon", "size": [74.41, 82.097], "center": [-2.894800000000001, 0.31949999999999934], "color": [0.2789002976815036, 0.13830010751201072, 0.9615273572275224]}, {"name": "pentagon", "size": [31.917, 32.452], "center": [1.1023000000000003, -0.5541999999999998], "color": [0.2789002976815036, 0.13830010751201072, 0.9615273572275224]}, {"name": "pentagon", "size": [62.06700000000001, 65.262], "center": [7.105427357601002e-16, -30.0], "color": [0.2789002976815036, 0.13830010751201072, 0.9615273572275224]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [32.954, 20.746], "center": [0.0, -29.999999999999996], "color": [0.33814774939198466, 0.14069135521899234, 0.13666068195028946]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_61.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_61.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_61.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_61.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_61.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_61.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_61.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_61.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_61.png", "instructions": [["translate", [0, -30]]], "correct_answer": {"easy": "C", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon 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": "C", "medium": "D"}
1steps_easy_no_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.
C
[['translate', [30, 30]]]
easy
{"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]}], "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_easy_no_63
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> 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]]
easy
{"instance_id": 63, "shape_A": {"name": "triangle", "facecolor": [0.5592105863115844, 0.9217666589112636, 0.6618887953780574], "edgecolor": "black", "center": [1.1842378929335002e-15, 1.1842378929335002e-15], "size": [56.55706047343236, 26.84787624230637]}, "shape_B": {"name": "hexagon", "facecolor": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.916369571887635, 54.48717436314496]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_63.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_63.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_63.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_63.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_63.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_63.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [78.082, 76.526], "center": [0.0, 1.1842378929335002e-15], "color": [0.8975598451911272, 0.07692256952539289, 0.6644043705913673]}, {"name": "hexagon", "size": [31.458, 27.244], "center": [-1.4802973661668753e-16, 0.0], "color": [0.40448949161577263, 0.5518113976106441, 0.6455304312268583]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}], "medium": [{"name": "hexagon", "size": [31.458, 27.244], "center": [-1.1842378929335002e-15, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 47.188984423676004], "center": [0.0, 1.1842378929335002e-15], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, 0.0], "color": [0.7350641034885935, 0.642845857004763, 0.8936279014672379]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}], "hard": [{"name": "hexagon", "size": [31.458, 27.244], "center": [-2.9605947323337506e-16, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 62.916], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [62.916, 54.488], "center": [0.0, -5.921189464667501e-16], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}, {"name": "hexagon", "size": [54.488, 47.188984423676004], "center": [0.0, 0.0], "color": [0.17505034282867538, 0.09047023487027928, 0.8545364364435167]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [57.327, 30.89], "center": [0.0003333333333337407, -0.0003333333333332226], "color": [0.5592105863115844, 0.9217666589112636, 0.6618887953780574]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_63.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_63.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_63.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_63.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "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\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_easy_no_65
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Reduce the size of the ellipse, 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.
B
[['scale', 0.5]]
easy
{"instance_id": 65, "shape_A": {"name": "circle", "facecolor": [0.03194978089100731, 0.2729195363243627, 0.03901372646011325], "edgecolor": "black", "center": [-1.2434497875801752e-15, 7.993605777301127e-16], "size": [65.92048675799757, 65.92048675799757]}, "shape_B": {"name": "ellipse", "facecolor": [0.02970125396581491, 0.8529939423925632, 0.7743033268631887], "edgecolor": "black", "center": [-3.552713678800501e-16, -3.8302694349567903e-16], "size": [33.19778299704972, 24.680041174028247]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_65.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_65.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_65.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_65.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_65.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_65.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [24.68, 33.198], "center": [2.1649348980190552e-16, 8.881784197001253e-17], "color": [0.02970125396581491, 0.8529939423925632, 0.7743033268631887]}, {"name": "ellipse", "size": [16.598, 12.34], "center": [0.0, 1.0824674490095276e-16], "color": [0.02970125396581491, 0.8529939423925632, 0.7743033268631887]}, {"name": "ellipse", "size": [33.19799999999999, 24.680000000000007], "center": [-5.329070518200751e-16, 1.5987211554602255e-15], "color": [0.9432222495185462, 0.24258480445505892, 0.07720129648793062]}, {"name": "ellipse", "size": [37.694, 38.63], "center": [-5.329070518200751e-16, 8.881784197001252e-16], "color": [0.10232666598304863, 0.287698439583432, 0.8667219185255097]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [32.96, 32.96], "center": [0.0, 6.328271240363392e-16], "color": [0.03194978089100731, 0.2729195363243627, 0.03901372646011325]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_65.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_65.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_65.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_65.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_65.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n\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"}
1steps_easy_no_66
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle 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.
D
[['translate', [0, -10]]]
easy
{"instance_id": 66, "shape_A": {"name": "triangle", "facecolor": [0.16366746798403065, 0.42797028566091755, 0.2928371145128392], "edgecolor": "black", "center": [-2.9605947323337506e-16, 0.0], "size": [24.481988049798385, 65.9713514522407]}, "shape_B": {"name": "rectangle", "facecolor": [0.8707981931443054, 0.8145251153993252, 0.8038284581385494], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.54793595704835, 22.445044739178652]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_66.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_66.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_66.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_66.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_66.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_66.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_66.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [34.548, 22.445999999999998], "center": [0.0, 8.881784197001252e-16], "color": [0.3830775062280287, 0.9288092951014849, 0.8587482728798472]}, {"name": "rectangle", "size": [17.274, 11.221999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.8707981931443054, 0.8145251153993252, 0.8038284581385494]}, {"name": "rectangle", "size": [20.288, 21.552], "center": [0.0, 0.0], "color": [0.5785944620491107, 0.9706946653685169, 0.4188066447302031]}, {"name": "rectangle", "size": [34.548, 22.445999999999998], "center": [0.0, -10.0], "color": [0.8707981931443054, 0.8145251153993252, 0.8038284581385494]}], "medium": [{"name": "rectangle", "size": [11.224, 17.274], "center": [0.0, 0.0], "color": [0.8707981931443054, 0.8145251153993252, 0.8038284581385494]}, {"name": "rectangle", "size": [34.548, 22.445999999999998], "center": [0.0, 8.881784197001252e-16], "color": [0.8707981931443054, 0.8145251153993252, 0.8038284581385494]}, {"name": "rectangle", "size": [24.484, 19.996000000000002], "center": [0.0, -4.440892098500626e-16], "color": [0.9884395162635914, 0.8832808494104097, 0.8254413168992749]}, {"name": "rectangle", "size": [34.548, 22.445999999999998], "center": [0.0, -10.0], "color": [0.8707981931443054, 0.8145251153993252, 0.8038284581385494]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [24.482, 65.971], "center": [-0.0003333333333330006, -10.0], "color": [0.16366746798403065, 0.42797028566091755, 0.2928371145128392]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_66.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_66.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_66.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_66.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_66.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_66.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_66.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_66.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_66.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle 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": "D", "medium": "D"}
1steps_easy_no_68
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, 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.
C
[['scale', 0.5]]
easy
{"instance_id": 68, "shape_A": {"name": "pentagon", "facecolor": [0.05111255886832311, 0.3634773753278716, 0.22344445085920173], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [61.49017300075138, 64.65459407216589]}, "shape_B": {"name": "hexagon", "facecolor": [0.1831786469081368, 0.6678379278178961, 0.111009498625254], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.76799138195648, 60.42085290778809]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_68.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_68.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_68.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_68.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_68.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_68.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [90.464, 88.554], "center": [0.0, 0.0], "color": [0.473906302351333, 0.5438162672907193, 0.10765355390111453]}, {"name": "hexagon", "size": [69.768, 60.42], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}, {"name": "hexagon", "size": [34.884, 30.21], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}, {"name": "hexagon", "size": [60.42, 69.768], "center": [0.0, 0.0], "color": [0.45562750995007406, 0.24745073498980585, 0.25017979283087877]}], "medium": [{"name": "hexagon", "size": [33.758, 108.854], "center": [0.0, 5.921189464667501e-16], "color": [0.8418529065501743, 0.14125458661696566, 0.6143836981310041]}, {"name": "hexagon", "size": [34.884, 30.21], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}, {"name": "hexagon", "size": [60.42, 69.768], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}, {"name": "hexagon", "size": [69.768, 60.42], "center": [0.0, 0.0], "color": [0.1831786469081368, 0.6678379278178961, 0.111009498625254]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [30.745, 32.328], "center": [-0.0002000000000000668, 0.0], "color": [0.05111255886832311, 0.3634773753278716, 0.22344445085920173]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_68.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_68.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_68.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_68.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "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\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"}
1steps_easy_no_70
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right. <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', [10, 0]]]
easy
{"instance_id": 70, "shape_A": {"name": "triangle", "facecolor": [0.2326291509341567, 0.537216961919809, 0.6742652353868184], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [55.56877475636617, 51.048363148211536]}, "shape_B": {"name": "ellipse", "facecolor": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757], "edgecolor": "black", "center": [6.661338147750939e-16, -2.2204460492503132e-17], "size": [32.14003820616973, 23.37601022472517]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_70.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_70.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_70.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_70.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_70.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_70.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [32.14, 23.376], "center": [4.440892098500626e-16, 4.9960036108132046e-17], "color": [0.45969579955347983, 0.2537499135596871, 0.8258272474200495]}, {"name": "ellipse", "size": [23.375999999999998, 32.14], "center": [6.661338147750939e-17, 5.329070518200751e-16], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}, {"name": "ellipse", "size": [16.07, 11.688], "center": [-1.1102230246251565e-16, 1.9428902930940238e-17], "color": [0.027496367412083278, 0.7532374246717107, 0.24002613482026902]}, {"name": "ellipse", "size": [32.14, 23.376], "center": [10.0, 4.9960036108132046e-17], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}], "hard": [{"name": "ellipse", "size": [32.14, 23.376], "center": [10.0, 4.9960036108132046e-17], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}, {"name": "ellipse", "size": [32.14, 23.376], "center": [4.440892098500626e-16, 4.9960036108132046e-17], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}, {"name": "ellipse", "size": [40.974, 38.254], "center": [1.7763568394002506e-16, 0.0], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}, {"name": "ellipse", "size": [16.07, 11.688000000000002], "center": [8.881784197001253e-17, -2.6645352591003756e-16], "color": [0.1505392133904715, 0.22235031702208352, 0.43974442541321757]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [55.569, 51.04900000000001], "center": [10.0, 0.0], "color": [0.2326291509341567, 0.537216961919809, 0.6742652353868184]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_70.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_70.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_70.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_70.png", "instructions": [["translate", [10, 0]]], "correct_answer": {"easy": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the right. <shapeB_step_0>\n\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": "A"}
1steps_easy_no_76
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the right 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.
A
[['translate', [10, 30]]]
easy
{"instance_id": 76, "shape_A": {"name": "square", "facecolor": [0.9239165497842027, 0.38943014282667665, 0.053595960193037806], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.57135007835554, 32.57135007835554]}, "shape_B": {"name": "ellipse", "facecolor": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.27675647831893e-16], "size": [30.234393912277593, 23.699334694297654]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_76.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_76.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_76.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [12.746, 14.354], "center": [-4.4408920985006264e-17, 0.0], "color": [0.8889679979081118, 0.9790224169656921, 0.9486874984808045]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [41.712, 23.244], "center": [-6.217248937900876e-16, 6.217248937900876e-16], "color": [0.6653105263590766, 0.529225305653132, 0.49379022923312355]}], "medium": [{"name": "ellipse", "size": [30.202, 36.014], "center": [1.1546319456101628e-15, -1.7763568394002506e-16], "color": [0.30128478023256455, 0.5202361515046738, 0.760120615075782]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [15.116, 11.850000000000001], "center": [0.00025000000000030553, 0.0001500000000006718], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}], "hard": [{"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [-8.881784197001252e-16, 1.5987211554602255e-15], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [12.744, 14.355], "center": [4.4408920985006264e-17, 0.0003249999999999975], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [30.234, 23.700000000000003], "center": [10.000000000000004, 30.0], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}, {"name": "ellipse", "size": [18.576862018785558, 23.700000000000006], "center": [2.831068712794149e-16, 1.7763568394002506e-16], "color": [0.08316419137996622, 0.3267029480944007, 0.0737995834296804]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.572, 32.572], "center": [10.0, 30.0], "color": [0.9239165497842027, 0.38943014282667665, 0.053595960193037806]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_76.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_76.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_76.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_76.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_76.png", "instructions": [["translate", [10, 30]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "C"}, "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 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": "B", "hard": "C"}
1steps_easy_no_80
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.
D
[['scale', 0.5]]
easy
{"instance_id": 80, "shape_A": {"name": "rectangle", "facecolor": [0.9005095986777847, 0.7671224841269358, 0.0047984930685360805], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.577540280607046, 21.05719443246732]}, "shape_B": {"name": "triangle", "facecolor": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808], "edgecolor": "black", "center": [-1.7763568394002505e-15, 1.1842378929335002e-15], "size": [30.12207044932655, 47.606559811316714]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_80.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_80.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_80.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_80.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_80.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_80.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_80.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [30.122, 47.606], "center": [-0.10699999999999991, 6.511000000000003], "color": [0.9627979402002226, 0.9110440515066276, 0.5180781809385478]}, {"name": "triangle", "size": [47.606, 30.122], "center": [-6.510999999999999, 0.10699999999999932], "color": [0.8006808362378293, 0.861602254739555, 0.962159861134232]}, {"name": "triangle", "size": [57.363, 19.601999999999997], "center": [4.009833333333333, 1.6296666666666664], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [15.061, 23.803], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}], "medium": [{"name": "triangle", "size": [15.061, 2.9929887899944934], "center": [1.4944876530050273, -0.2952140441886228], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [30.122, 47.606], "center": [-0.10699999999999991, 6.510999999999999], "color": [0.9683855627792903, 0.8538651671908509, 0.804365413501231]}, {"name": "triangle", "size": [15.061, 23.803], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [47.606, 30.122], "center": [6.510999999999999, -0.10699999999999991], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}], "hard": [{"name": "triangle", "size": [15.061, 23.803], "center": [-2.9605947323337506e-16, 0.0], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [47.606, 30.122], "center": [6.510999999999999, 0.10699999999999991], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [15.061, 2.992935619115296], "center": [1.4943273227926805, -0.2951196127198436], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}, {"name": "triangle", "size": [14.063, 41.663], "center": [-2.3035, 6.532166666666666], "color": [0.5301945158856409, 0.34350504350963607, 0.7668217725187808]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [16.288, 10.528], "center": [0.0, 0.0], "color": [0.9005095986777847, 0.7671224841269358, 0.0047984930685360805]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_80.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_80.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_80.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_80.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_80.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - 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": "C", "hard": "A"}
1steps_easy_no_82
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> 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]]
easy
{"instance_id": 82, "shape_A": {"name": "hexagon", "facecolor": [0.608152936633627, 0.6600502477660397, 0.3680908863446112], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.24210143808655, 54.76926643409533]}, "shape_B": {"name": "triangle", "facecolor": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448], "edgecolor": "black", "center": [-1.1842378929335002e-15, -5.921189464667501e-16], "size": [35.52957755019723, 54.61907480863481]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_82.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_82.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_82.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [56.938, 63.007], "center": [-5.25, 9.6705], "color": [0.9424042139435632, 0.8942200740332531, 0.7736401224851124]}, {"name": "triangle", "size": [35.53, 54.619], "center": [3.786, -6.471166666666666], "color": [0.6452377287783989, 0.5006236669721122, 0.7748420369573492]}], "medium": [{"name": "triangle", "size": [9.497, 14.599398902336052], "center": [-1.0119797917253024, 1.7297120696125354], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [27.064999999999998, 16.37], "center": [4.2441666666666675, 1.0546666666666666], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.1723028698824005, 0.9371921203401827, 0.7857739043871413]}], "hard": [{"name": "triangle", "size": [9.497, 14.599398902336054], "center": [1.0119797917253024, -1.729712069612533], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [54.131, 32.741], "center": [-8.4885, -2.1095], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [0.0, 0.0], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}, {"name": "triangle", "size": [9.497, 61.862], "center": [-0.8864999999999998, 9.099], "color": [0.4498517847880882, 0.16570077472548006, 0.7669465948701448]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [54.77, 63.242], "center": [0.0, 5.921189464667501e-16], "color": [0.608152936633627, 0.6600502477660397, 0.3680908863446112]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_82.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_82.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_82.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_82.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_82.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees counter-clockwise around its center. <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": "C"}
1steps_easy_no_84
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees clockwise around its center. <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
[['rotate', -30]]
easy
{"instance_id": 84, "shape_A": {"name": "rectangle", "facecolor": [0.8531873322160516, 0.1737302215808132, 0.7056139401422957], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.02691706487666, 22.45971350274154]}, "shape_B": {"name": "triangle", "facecolor": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884], "edgecolor": "black", "center": [5.921189464667501e-16, 0.0], "size": [28.4250963474395, 68.49539441983214]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_84.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_84.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_84.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_84.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_84.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_84.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_84.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [37.168, 57.693], "center": [-6.160333333333334, 7.1065], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [37.168, 57.693], "center": [-0.0003333333333331486, -2.3684757858670005e-15], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [28.846999999999998, 18.584], "center": [-3.553166666666666, -3.0803333333333334], "color": [0.002029064950654247, 0.7277213452522288, 0.12082122352714486]}, {"name": "triangle", "size": [68.495, 28.425], "center": [3.0484999999999993, -3.653166666666667], "color": [0.5945175534307601, 0.07298432240158292, 0.7215328882337264]}], "medium": [{"name": "triangle", "size": [37.168, 57.693], "center": [-6.160333333333334, 7.1065], "color": [0.2411754242855435, 0.9999888593078554, 0.6691053694699161]}, {"name": "triangle", "size": [12.77382346735822, 57.69299999999999], "center": [-1.2860043130446248, -3.734389157500305], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [28.424999999999997, 68.495], "center": [3.653166666666667, -3.0484999999999993], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [37.168, 57.693], "center": [-0.0003333333333331486, -2.3684757858670005e-15], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}], "hard": [{"name": "triangle", "size": [37.168, 57.693], "center": [-6.160333333333334, 7.1065], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [23.942237024600328, 57.692999999999984], "center": [3.0770442295058, -2.567736484414919], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [37.168, 57.693], "center": [-0.0003333333333331486, -2.3684757858670005e-15], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}, {"name": "triangle", "size": [57.693, 37.168], "center": [-7.1065, -6.160333333333334], "color": [0.6370998088107106, 0.8895473241836985, 0.24522342766358884]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [38.966, 35.464], "center": [0.0, 0.0], "color": [0.8531873322160516, 0.1737302215808132, 0.7056139401422957]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_84.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_84.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_84.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_84.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_84.png", "instructions": [["rotate", -30]], "correct_answer": {"easy": "B", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees clockwise around its center. <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": "D", "hard": "C"}
1steps_easy_no_90
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
easy
{"instance_id": 90, "shape_A": {"name": "pentagon", "facecolor": [0.1127346158602558, 0.007703631291235524, 0.9601643782574435], "edgecolor": "black", "center": [-1.4210854715202005e-15, 1.4210854715202005e-15], "size": [62.92604567865397, 66.1643599517963]}, "shape_B": {"name": "circle", "facecolor": [0.40170618211066655, 0.904328177972303, 0.9680217978045556], "edgecolor": "black", "center": [1.7763568394002506e-16, -1.7763568394002506e-16], "size": [69.03420424076366, 69.03420424076366]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_90.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_90.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_90.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_90.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_90.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_90.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_90.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.002, 88.432], "center": [-8.881784197001252e-16, -5.329070518200751e-16], "color": [0.7602406866569945, 0.9190433638643208, 0.016698007506458667]}, {"name": "circle", "size": [54.698, 34.862], "center": [1.3322676295501878e-15, 2.220446049250313e-16], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}, {"name": "circle", "size": [37.096, 35.438], "center": [2.4868995751603505e-15, -4.940492459581947e-16], "color": [0.8650389713836865, 0.2726433465609338, 0.28187609265801294]}, {"name": "circle", "size": [68.94, 68.94], "center": [3.552713678800501e-15, -1.9984014443252818e-15], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}], "medium": [{"name": "circle", "size": [34.516, 34.516], "center": [0.0, 5.0000000001548806e-05], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}, {"name": "circle", "size": [81.744, 91.298], "center": [2.1316282072803005e-15, -3.552713678800501e-16], "color": [0.41066991557232546, 0.7600869322469115, 0.9781931559169441]}, {"name": "circle", "size": [68.94, 68.94], "center": [3.552713678800501e-15, -1.9984014443252818e-15], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}, {"name": "circle", "size": [49.63, 50.536], "center": [4.999999999943938e-05, -0.0003250000000011077], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}], "hard": [{"name": "circle", "size": [35.382, 37.134], "center": [-5.329070518200751e-16, -6.661338147750939e-17], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}, {"name": "circle", "size": [68.94, 68.94], "center": [3.552713678800501e-15, -1.9984014443252818e-15], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}, {"name": "circle", "size": [88.92, 95.452], "center": [2.1316282072803005e-15, 1.1546319456101628e-15], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}, {"name": "circle", "size": [76.43, 79.244], "center": [0.0, 9.769962616701378e-16], "color": [0.40170618211066655, 0.904328177972303, 0.9680217978045556]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [64.718, 65.80199999999999], "center": [0.0, 0.00020000000000095497], "color": [0.1127346158602558, 0.007703631291235524, 0.9601643782574435]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_90.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_90.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_90.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_90.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_90.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "D", "medium": "C", "hard": "B"}
1steps_easy_no_92
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> 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]]
easy
{"instance_id": 92, "shape_A": {"name": "pentagon", "facecolor": [0.1607369038590769, 0.2777349986633574, 0.47655150461811324], "edgecolor": "black", "center": [-7.105427357601002e-16, 7.105427357601002e-16], "size": [60.10640260630789, 63.19961177538927]}, "shape_B": {"name": "triangle", "facecolor": [0.464719285490228, 0.07645657009476925, 0.7898339421531791], "edgecolor": "black", "center": [1.1842378929335002e-15, 5.921189464667501e-16], "size": [19.872398895765386, 62.92499887193014]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_92.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_92.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_92.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_92.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_92.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_92.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_92.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [24.796999999999997, 20.192], "center": [4.0915, -0.4349999999999987], "color": [0.9071726617867343, 0.10604306882047188, 0.984459404195346]}, {"name": "triangle", "size": [40.383, 49.595], "center": [0.8704999999999999, 8.1825], "color": [0.6375600645340186, 0.2384259750073766, 0.3912976214311471]}, {"name": "triangle", "size": [19.872999999999998, 62.925], "center": [0.12149999999999987, -6.7591666666666645], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [40.383, 49.595], "center": [1.4802973661668753e-16, 0.0], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}], "medium": [{"name": "triangle", "size": [62.925, 19.873], "center": [-6.759166666666668, 0.1214999999999975], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [9.936, 31.462000000000003], "center": [0.06066666666666679, 3.3796666666666666], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [40.383, 49.595], "center": [0.8704999999999999, 8.1825], "color": [0.9635339128590187, 0.07470343088901232, 0.355115482190399]}, {"name": "triangle", "size": [40.383, 49.595], "center": [1.4802973661668753e-16, 0.0], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}], "hard": [{"name": "triangle", "size": [40.383, 49.595], "center": [1.4802973661668753e-16, 0.0], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [40.383, 49.595], "center": [0.8704999999999999, 8.1825], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [59.645, 34.159], "center": [3.3998333333333335, -1.8204999999999991], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}, {"name": "triangle", "size": [24.796999999999997, 20.191000000000003], "center": [4.0915, -0.43516666666666676], "color": [0.464719285490228, 0.07645657009476925, 0.7898339421531791]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [61.818999999999996, 62.853], "center": [0.00020000000000024442, -7.105427357601002e-16], "color": [0.1607369038590769, 0.2777349986633574, 0.47655150461811324]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_92.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_92.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_92.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_92.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_92.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "D", "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\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": "A"}
1steps_easy_no_95
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 60 degrees counter-clockwise around its center. <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
[['rotate', 60]]
easy
{"instance_id": 95, "shape_A": {"name": "rectangle", "facecolor": [0.9386413572529496, 0.09931316101227206, 0.2779964714287181], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.18464859671613, 24.237999092907607]}, "shape_B": {"name": "triangle", "facecolor": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [21.517925654349185, 63.72478719226696]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_95.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_95.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_95.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_95.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_95.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_95.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_95.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [10.759, 31.862000000000002], "center": [1.5934999999999988, 3.763333333333334], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-8.6445, -2.2755000000000005], "color": [0.47012594471216906, 0.4182648748698823, 0.7088020388650815]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [63.724000000000004, 21.517999999999997], "center": [-7.527000000000002, 3.1869999999999976], "color": [0.108827059908159, 0.7340131596055779, 0.5031131990296385]}], "medium": [{"name": "triangle", "size": [57.309, 32.899], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [55.786, 44.82000000000001], "center": [-3.0320000000000005, -2.805000000000001], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [18.886112146434243, 32.899], "center": [-1.3062812908967192, 4.962491153222007], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-8.6445, -2.2755000000000005], "color": [0.6499035112241656, 0.3798705145015402, 0.007066326563811898]}], "hard": [{"name": "triangle", "size": [63.724000000000004, 21.518], "center": [7.527000000000001, -3.187], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [18.885208549991276, 32.899], "center": [-1.3063541732100272, 4.962691589600419], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-1.1842378929335002e-15, 5.921189464667501e-16], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}, {"name": "triangle", "size": [57.309, 32.899], "center": [-8.6445, -2.2755000000000005], "color": [0.2396133858525794, 0.8718795138980427, 0.03138681495834739]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [37.584, 40.858], "center": [0.0, 0.0], "color": [0.9386413572529496, 0.09931316101227206, 0.2779964714287181]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_95.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_95.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_95.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_95.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_95.png", "instructions": [["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 60 degrees counter-clockwise around its center. <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": "A", "hard": "C"}
1steps_easy_no_96
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square 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]]]
easy
{"instance_id": 96, "shape_A": {"name": "hexagon", "facecolor": [0.3436028068871776, 0.276480109936426, 0.41206814802149516], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.56276586000764, 55.9129953733533]}, "shape_B": {"name": "square", "facecolor": [0.8688554280125367, 0.26284511885482, 0.021452236179140716], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.05560464104195, 31.05560464104195]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_96.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_96.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_96.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_96.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_96.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_96.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_96.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [42.422, 42.422], "center": [-8.881784197001252e-16, -2.220446049250313e-16], "color": [0.6533263290962922, 0.9234236563806717, 0.32702075648718143]}, {"name": "square", "size": [31.056, 31.055999999999997], "center": [0.0, 0.0], "color": [0.6825167267551608, 0.9039578739248979, 0.6925005996425962]}, {"name": "square", "size": [15.528, 15.528], "center": [0.0, 0.0], "color": [0.8688554280125367, 0.26284511885482, 0.021452236179140716]}, {"name": "square", "size": [31.056, 31.055999999999997], "center": [0.0, 10.0], "color": [0.8688554280125367, 0.26284511885482, 0.021452236179140716]}], "medium": [{"name": "square", "size": [31.056, 31.055999999999997], "center": [0.0, 0.0], "color": [0.8688554280125367, 0.26284511885482, 0.021452236179140716]}, {"name": "square", "size": [42.42400000000001, 42.42400000000001], "center": [0.0, 0.0], "color": [0.1588454403047207, 0.9151069680497503, 0.12420002949122744]}, {"name": "square", "size": [21.212000000000003, 21.212], "center": [0.0, 0.0], "color": [0.8688554280125367, 0.26284511885482, 0.021452236179140716]}, {"name": "square", "size": [31.056, 31.055999999999997], "center": [0.0, 10.0], "color": [0.8688554280125367, 0.26284511885482, 0.021452236179140716]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [64.562, 55.912000000000006], "center": [0.0, 10.0], "color": [0.3436028068871776, 0.276480109936426, 0.41206814802149516]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_96.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_96.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_96.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_96.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_96.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_96.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_96.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_96.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_96.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square 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": "D", "medium": "D"}
1steps_easy_no_97
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, 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.
C
[['scale', 0.5]]
easy
{"instance_id": 97, "shape_A": {"name": "square", "facecolor": [0.0875341292391344, 0.2878234073671787, 0.1807597211321874], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.961479904765103, 31.961479904765103]}, "shape_B": {"name": "hexagon", "facecolor": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.18403078528043, 55.58500117733533]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_97.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_97.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_97.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_97.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_97.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_97.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_97.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [64.184, 55.586], "center": [0.0, 0.0], "color": [0.446037358952617, 0.5453670942754123, 0.6686542591631693]}, {"name": "hexagon", "size": [55.586, 64.184], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [32.092, 27.792], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [70.41, 82.008], "center": [0.0, -5.921189464667501e-16], "color": [0.8471785010933867, 0.507270931470835, 0.8825016537314981]}], "medium": [{"name": "hexagon", "size": [32.092, 27.792], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [55.586, 64.184], "center": [0.0, 0.0], "color": [0.22067923687454472, 0.4866897847894993, 0.17893784933043622]}, {"name": "hexagon", "size": [60.492, 34.288], "center": [-5.921189464667501e-16, -2.9605947323337506e-16], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [64.184, 55.586], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}], "hard": [{"name": "hexagon", "size": [64.184, 55.586], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [55.586, 64.184], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [32.092, 27.792], "center": [0.0, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}, {"name": "hexagon", "size": [32.092, 17.061134369064433], "center": [-1.4802973661668753e-16, 0.0], "color": [0.3252025663706659, 0.08884256367279697, 0.0038552784706757937]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [15.98, 15.98], "center": [0.0, 0.0], "color": [0.0875341292391344, 0.2878234073671787, 0.1807597211321874]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_97.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_97.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_97.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_97.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_97.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "A", "hard": "C"}
1steps_easy_no_98
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Reduce the size of the ellipse, 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.
B
[['scale', 0.5]]
easy
{"instance_id": 98, "shape_A": {"name": "rectangle", "facecolor": [0.6224251415407939, 0.6043951959771502, 0.8975657660377747], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.3145677661977, 24.34409731413251]}, "shape_B": {"name": "ellipse", "facecolor": [0.4859578507811123, 0.3202001184139621, 0.9040487078971796], "edgecolor": "black", "center": [-5.329070518200751e-16, -5.551115123125783e-18], "size": [34.41787400143465, 24.104143632864968]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_98.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_98.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_98.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_98.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_98.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_98.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [34.418, 24.104], "center": [8.881784197001253e-17, -2.6645352591003756e-16], "color": [0.4353631780952696, 0.11526892418836476, 0.46519611013210327]}, {"name": "ellipse", "size": [17.208, 12.052], "center": [4.884981308350689e-16, 4.718447854656915e-17], "color": [0.4859578507811123, 0.3202001184139621, 0.9040487078971796]}, {"name": "ellipse", "size": [38.532, 40.196], "center": [-7.993605777301127e-16, -1.5099033134902129e-15], "color": [0.4859578507811123, 0.3202001184139621, 0.9040487078971796]}, {"name": "ellipse", "size": [27.003999999999998, 32.072], "center": [-6.661338147750939e-16, -1.1546319456101628e-15], "color": [0.6263561178638217, 0.8979092666173832, 0.6899503436122056]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [16.158, 12.172], "center": [0.0, 0.0], "color": [0.6224251415407939, 0.6043951959771502, 0.8975657660377747]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_98.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_98.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_98.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_98.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n\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"}
1steps_easy_no_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.
B
[['translate', [0, 10]]]
easy
{"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]}], "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_easy_no_108
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> 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]]]
easy
{"instance_id": 108, "shape_A": {"name": "triangle", "facecolor": [0.8937570484449084, 0.9616667378039948, 0.0992994006184097], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [47.74080165466784, 47.10369983131548]}, "shape_B": {"name": "hexagon", "facecolor": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.37170257898652, 52.28342810312084]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_108.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_108.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_108.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_108.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_108.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_108.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_108.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [30.186, 26.142000000000003], "center": [-0.00033333333333344467, -5.921189464667501e-16], "color": [0.6859036235039079, 0.4533768674936671, 0.923529798392754]}, {"name": "hexagon", "size": [52.284000000000006, 60.372], "center": [-2.9605947323337506e-16, -1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.7544279709285733, 0.5785639287374191, 0.19501090511024666]}], "medium": [{"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [45.27954442456768, 52.284000000000006], "center": [-1.7763568394002505e-15, 4.736951571734001e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [26.142, 30.186], "center": [0.0, 0.0], "color": [0.7535211475827056, 0.21668512672024398, 0.41109096249185484]}], "hard": [{"name": "hexagon", "size": [45.27954442456769, 52.284000000000006], "center": [0.0, 5.921189464667501e-16], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [52.284, 60.372], "center": [0.0, 1.7763568394002505e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-10.0, 30.0], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}, {"name": "hexagon", "size": [60.372, 52.284000000000006], "center": [-5.921189464667501e-16, 1.1842378929335002e-15], "color": [0.41581110749671313, 0.06505979642529403, 0.5293661750040247]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [47.741, 47.103], "center": [-9.999666666666668, 30.0], "color": [0.8937570484449084, 0.9616667378039948, 0.0992994006184097]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_108.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_108.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_108.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_108.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_108.png", "instructions": [["translate", [-10, 30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left 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": "A", "medium": "A", "hard": "C"}
1steps_easy_no_109
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]]
easy
{"instance_id": 109, "shape_A": {"name": "pentagon", "facecolor": [0.25004868243784584, 0.3344490882933867, 0.11013419630917398], "edgecolor": "black", "center": [-1.4210854715202005e-15, 1.4210854715202005e-15], "size": [57.279941843517925, 60.22769505502394]}, "shape_B": {"name": "triangle", "facecolor": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.887896907284613, 67.20612121141576]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_109.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_109.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_109.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_109.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_109.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_109.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_109.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [15.944, 33.603], "center": [-0.0003333333333337407, 0.0], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [67.20599999999999, 31.888], "center": [-8.716999999999997, 3.148999999999999], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [33.846000000000004, 13.988], "center": [4.600666666666667, 1.9543333333333333], "color": [0.18571979408179173, 0.9284550620067288, 0.527256144459418]}, {"name": "triangle", "size": [27.976, 67.693], "center": [-3.9089999999999994, 9.201500000000001], "color": [0.23980809489011867, 0.9452327715466228, 0.1500723712483537]}], "medium": [{"name": "triangle", "size": [67.206, 31.887999999999998], "center": [-8.717, 3.1489999999999996], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [54.954, 57.492999999999995], "center": [2.776, 3.4944999999999986], "color": [0.994000668557442, 0.8868362255793332, 0.9661530212794897]}, {"name": "triangle", "size": [31.887999999999998, 67.206], "center": [3.1489999999999996, 8.717], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [15.944, 33.603], "center": [-0.0003333333333337407, 0.0], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}], "hard": [{"name": "triangle", "size": [15.943999999999999, 15.239882698763328], "center": [-0.9690972466213266, 0.7698423112378897], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [15.944, 33.603], "center": [-0.0003333333333337407, 0.0], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [67.206, 31.887999999999998], "center": [8.717, -3.1489999999999996], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}, {"name": "triangle", "size": [27.976, 67.693], "center": [-3.9089999999999994, 9.201500000000001], "color": [0.15616353743002864, 0.10540378099532133, 0.06380659695981983]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [28.64, 30.114], "center": [1.7763568394002506e-16, 0.0], "color": [0.25004868243784584, 0.3344490882933867, 0.11013419630917398]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_109.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_109.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_109.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_109.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_109.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n\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"}
1steps_easy_no_112
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.
C
[['translate', [-30, 0]]]
easy
{"instance_id": 112, "shape_A": {"name": "triangle", "facecolor": [0.22407676938372756, 0.25749488073658366, 0.6276709443214408], "edgecolor": "black", "center": [-1.1842378929335002e-15, 2.9605947323337506e-16], "size": [54.26027011255265, 63.194135590950864]}, "shape_B": {"name": "rectangle", "facecolor": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.54664611515206, 21.286914386062225]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_112.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_112.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_112.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_112.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_112.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_112.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_112.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [15.774, 10.644], "center": [0.0, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}, {"name": "rectangle", "size": [34.208, 37.962], "center": [0.0, 0.0], "color": [0.443483132288246, 0.060518816733028946, 0.966189274135352]}, {"name": "rectangle", "size": [31.546000000000003, 21.286], "center": [-30.0, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}, {"name": "rectangle", "size": [31.546000000000003, 21.286], "center": [-1.7763568394002505e-15, 0.0], "color": [0.5303442853653633, 0.6966803704985427, 0.6024381394043686]}], "medium": [{"name": "rectangle", "size": [21.286, 31.546], "center": [0.0, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}, {"name": "rectangle", "size": [15.774000000000001, 10.644], "center": [0.0, 0.0], "color": [0.12163971799566142, 0.4585665941387457, 0.47180992408030287]}, {"name": "rectangle", "size": [31.546000000000003, 21.286], "center": [-1.7763568394002505e-15, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}, {"name": "rectangle", "size": [31.546000000000003, 21.286], "center": [-30.0, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}], "hard": [{"name": "rectangle", "size": [15.771999999999998, 10.644], "center": [0.0, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}, {"name": "rectangle", "size": [31.546000000000003, 21.286], "center": [-1.7763568394002505e-15, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}, {"name": "rectangle", "size": [31.546000000000003, 21.286], "center": [-30.0, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}, {"name": "rectangle", "size": [14.362955556964437, 21.286], "center": [0.0, 0.0], "color": [0.24273440268214808, 0.9247555731309032, 0.02403669112588691]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [54.260000000000005, 63.194], "center": [-30.0, -0.0003333333333337407], "color": [0.22407676938372756, 0.25749488073658366, 0.6276709443214408]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_112.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_112.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_112.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_112.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_112.png", "instructions": [["translate", [-30, 0]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "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": "C", "medium": "D", "hard": "C"}
1steps_easy_no_114
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square 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', [0, -10]]]
easy
{"instance_id": 114, "shape_A": {"name": "circle", "facecolor": [0.7338018157348072, 0.8796868671924539, 0.526499216030505], "edgecolor": "black", "center": [-5.329070518200751e-16, -2.4646951146678474e-15], "size": [68.66200079176045, 68.66200079176045]}, "shape_B": {"name": "square", "facecolor": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.785988621204254, 34.785988621204254]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_114.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_114.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_114.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_114.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_114.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_114.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_114.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [23.759999999999998, 23.759999999999998], "center": [0.0, 0.0], "color": [0.595141796585856, 0.8044737747298943, 0.24935216297740692]}, {"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.688476363185747, 0.4563908804672143, 0.988378524228168]}], "medium": [{"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [23.759999999999998, 23.759999999999998], "center": [0.0, 0.0], "color": [0.3693785175358285, 0.4429203558217317, 0.22524806823128363]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}], "hard": [{"name": "square", "size": [34.786, 34.786], "center": [0.0, -10.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [34.786, 34.786], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [47.518, 47.518], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}, {"name": "square", "size": [17.392, 17.392], "center": [0.0, 0.0], "color": [0.8321143036216572, 0.8606145724245399, 0.07925816477340974]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [68.662, 68.662], "center": [-1.7763568394002506e-16, -9.999999999999996], "color": [0.7338018157348072, 0.8796868671924539, 0.526499216030505]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_114.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_114.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_114.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_114.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_114.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square 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": "C", "hard": "A"}
1steps_easy_no_118
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 90 degrees counter-clockwise around its center. <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
[['rotate', 90]]
easy
{"instance_id": 118, "shape_A": {"name": "hexagon", "facecolor": [0.8363604831348399, 0.7905201465837112, 0.32197765412807433], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.62410361577225, 52.502013812918804]}, "shape_B": {"name": "triangle", "facecolor": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978], "edgecolor": "black", "center": [0.0, 2.9605947323337506e-16], "size": [60.504583429653096, 47.66150081505481]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_118.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_118.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_118.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_118.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_118.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_118.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_118.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [47.661, 60.504], "center": [-2.0545000000000004, 9.039], "color": [0.5752558408584753, 0.28509467402404953, 0.44316437864511815]}, {"name": "triangle", "size": [60.504, 47.661], "center": [9.039, 2.0545000000000004], "color": [0.5677145714319202, 0.6219280465486826, 0.6730996597460689]}, {"name": "triangle", "size": [30.251, 23.83], "center": [4.5195, 1.0269999999999992], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}, {"name": "triangle", "size": [47.661, 60.504], "center": [5.921189464667501e-16, 0.0], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}], "medium": [{"name": "triangle", "size": [47.661, 60.504], "center": [5.921189464667501e-16, 0.0], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}, {"name": "triangle", "size": [47.661, 60.504], "center": [-2.0545000000000004, 9.039], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}, {"name": "triangle", "size": [30.253, 23.831], "center": [4.519500000000001, 1.0271666666666666], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}, {"name": "triangle", "size": [60.504, 47.661], "center": [9.039, 2.0545000000000004], "color": [0.8520258125744509, 0.8018619190239309, 0.21608084726813692]}], "hard": [{"name": "triangle", "size": [47.661, 60.504], "center": [5.921189464667501e-16, 0.0], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}, {"name": "triangle", "size": [47.661, 60.504], "center": [-2.0545000000000004, 9.039], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}, {"name": "triangle", "size": [30.253, 23.831], "center": [-4.519500000000001, 1.0271666666666666], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}, {"name": "triangle", "size": [69.236, 71.145], "center": [9.774, -2.8275000000000006], "color": [0.09767763940762841, 0.3752073194889193, 0.8330945919037978]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [52.502, 60.624], "center": [0.0, 5.921189464667501e-16], "color": [0.8363604831348399, 0.7905201465837112, 0.32197765412807433]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_118.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_118.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_118.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_118.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_118.png", "instructions": [["rotate", 90]], "correct_answer": {"easy": "D", "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 90 degrees counter-clockwise around its center. <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": "A", "hard": "A"}
1steps_easy_no_122
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> 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]]
easy
{"instance_id": 122, "shape_A": {"name": "square", "facecolor": [0.4500664518392782, 0.36501161107914915, 0.9048993012101603], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.96786792112898, 34.96786792112898]}, "shape_B": {"name": "circle", "facecolor": [0.480560817661274, 0.1621271552234842, 0.18861029419929187], "edgecolor": "black", "center": [1.0658141036401502e-15, 2.2204460492503132e-17], "size": [67.67579292412964, 67.67579292412964]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_122.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_122.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_122.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_122.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_122.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_122.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_122.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [45.268, 41.54], "center": [-2.49999999997641e-05, 1.2434497875801752e-15], "color": [0.3016406391047942, 0.7231953962938071, 0.9948099787099575]}, {"name": "circle", "size": [67.584, 67.584], "center": [-3.197442310920451e-15, 2.6645352591003757e-15], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}, {"name": "circle", "size": [33.838, 33.838], "center": [1.7763568394002506e-16, 8.326672684688674e-16], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}, {"name": "circle", "size": [83.912, 77.685], "center": [0.00020000000000042206, 2.5000000002961543e-05], "color": [0.011539516439163622, 0.22496523412589875, 0.47146119962072175]}], "medium": [{"name": "circle", "size": [33.838, 33.838], "center": [-0.00015000000000036094, 0.00019999999999993358], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}, {"name": "circle", "size": [48.21037239060384, 67.584], "center": [-3.945266893907728e-05, 0.00011835800681900822], "color": [0.3946622842344444, 0.1721597460060984, 0.4777260592626458]}, {"name": "circle", "size": [67.584, 67.584], "center": [-3.197442310920451e-15, 2.6645352591003757e-15], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}, {"name": "circle", "size": [83.818, 88.98], "center": [-1.2434497875801752e-15, 1.2434497875801752e-15], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}], "hard": [{"name": "circle", "size": [67.584, 67.584], "center": [-3.197442310920451e-15, 2.6645352591003757e-15], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}, {"name": "circle", "size": [67.584, 14.155491042238788], "center": [4.440892098500626e-16, 2.609024107869118e-16], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}, {"name": "circle", "size": [33.838, 33.838], "center": [1.7763568394002506e-16, 8.326672684688674e-16], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}, {"name": "circle", "size": [90.812, 81.076], "center": [1.7763568394002506e-16, -7.105427357601002e-16], "color": [0.480560817661274, 0.1621271552234842, 0.18861029419929187]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [47.766, 47.766], "center": [8.881784197001252e-16, 4.440892098500626e-16], "color": [0.4500664518392782, 0.36501161107914915, 0.9048993012101603]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_122.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_122.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_122.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_122.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_122.png", "instructions": [["rotate", 60]], "correct_answer": {"easy": "B", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 60 degrees counter-clockwise around its center. <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": "A"}
1steps_easy_no_124
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the right 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.
C
[['translate', [10, -10]]]
easy
{"instance_id": 124, "shape_A": {"name": "rectangle", "facecolor": [0.7874239139354604, 0.021136000591641557, 0.39468359495505256], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.52632864530404, 24.254236037983013]}, "shape_B": {"name": "square", "facecolor": [0.561157720379441, 0.9462486628357988, 0.7019869988200035], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.815370148188162, 31.815370148188162]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_124.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_124.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_124.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_124.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_124.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_124.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_124.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [21.73, 21.73], "center": [0.0, -2.220446049250313e-16], "color": [0.6415644210536101, 0.801656548555938, 0.8113975035293048]}, {"name": "square", "size": [43.462, 43.462], "center": [0.0, 0.0], "color": [0.2785987371983355, 0.16057235662028269, 0.9399168221470815]}, {"name": "square", "size": [31.816000000000003, 31.816000000000003], "center": [10.0, -10.0], "color": [0.561157720379441, 0.9462486628357988, 0.7019869988200035]}, {"name": "square", "size": [31.816000000000003, 31.816000000000003], "center": [0.0, 0.0], "color": [0.561157720379441, 0.9462486628357988, 0.7019869988200035]}], "medium": [{"name": "square", "size": [21.73, 21.73], "center": [8.881784197001252e-16, -8.881784197001252e-16], "color": [0.561157720379441, 0.9462486628357988, 0.7019869988200035]}, {"name": "square", "size": [43.462, 43.462], "center": [0.0, 0.0], "color": [0.5796994929820517, 0.7120429947592205, 0.5661033795254925]}, {"name": "square", "size": [31.816000000000003, 31.816000000000003], "center": [10.0, -10.0], "color": [0.561157720379441, 0.9462486628357988, 0.7019869988200035]}, {"name": "square", "size": [31.816000000000003, 31.816000000000003], "center": [0.0, 0.0], "color": [0.561157720379441, 0.9462486628357988, 0.7019869988200035]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [34.526, 24.253999999999998], "center": [10.000000000000002, -9.999999999999998], "color": [0.7874239139354604, 0.021136000591641557, 0.39468359495505256]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_124.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_124.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_124.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_124.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_124.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_124.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_124.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_124.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_124.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right and 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": "C", "medium": "C"}
1steps_easy_no_125
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon 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.
C
[['translate', [0, -30]]]
easy
{"instance_id": 125, "shape_A": {"name": "circle", "facecolor": [0.2149021746828116, 0.8921538272411232, 0.8858087112880584], "edgecolor": "black", "center": [-4.440892098500626e-16, -8.881784197001252e-16], "size": [60.69731498303044, 60.69731498303044]}, "shape_B": {"name": "hexagon", "facecolor": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [63.70436686613959, 55.169600038080546]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_125.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_125.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_125.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_125.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_125.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_125.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_125.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [55.17, 63.704], "center": [0.0, 5.921189464667501e-16], "color": [0.2584903723444085, 0.15177071239917928, 0.7847969918114115]}, {"name": "hexagon", "size": [63.704, 55.17], "center": [-5.921189464667501e-16, 0.0], "color": [0.07337002608822918, 0.15693208114892643, 0.825376516523013]}, {"name": "hexagon", "size": [63.704, 55.17], "center": [-5.921189464667501e-16, -30.0], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}, {"name": "hexagon", "size": [31.852, 27.585], "center": [-2.9605947323337506e-16, -0.00016666666666627825], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}], "medium": [{"name": "hexagon", "size": [63.704, 55.17], "center": [-5.921189464667501e-16, -30.0], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}, {"name": "hexagon", "size": [47.77924306166017, 55.17], "center": [0.0, 3.552713678800501e-15], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}, {"name": "hexagon", "size": [63.704, 55.17], "center": [-5.921189464667501e-16, 0.0], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}, {"name": "hexagon", "size": [27.584, 31.852], "center": [0.0, -2.9605947323337506e-16], "color": [0.07576904001292228, 0.5139396222636695, 0.8204052031875139]}], "hard": [{"name": "hexagon", "size": [63.704, 55.17], "center": [-5.921189464667501e-16, 0.0], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}, {"name": "hexagon", "size": [63.704, 55.17], "center": [-5.921189464667501e-16, -30.0], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}, {"name": "hexagon", "size": [55.17, 63.70399999999999], "center": [0.0, -5.921189464667501e-16], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}, {"name": "hexagon", "size": [47.779243061660196, 55.17], "center": [1.1842378929335002e-15, -1.4802973661668755e-15], "color": [0.9488321311615273, 0.18358490469147604, 0.26640188750883553]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [60.698, 60.69799999999999], "center": [1.7763568394002506e-16, -30.0], "color": [0.2149021746828116, 0.8921538272411232, 0.8858087112880584]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_125.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_125.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_125.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_125.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_125.png", "instructions": [["translate", [0, -30]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon 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": "C", "medium": "A", "hard": "B"}
1steps_easy_no_126
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon to the right by a significant amount 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', [30, -10]]]
easy
{"instance_id": 126, "shape_A": {"name": "square", "facecolor": [0.7442888272464583, 0.3827429170636977, 0.1493287408819417], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.654955358956677, 31.654955358956677]}, "shape_B": {"name": "hexagon", "facecolor": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.45997037363281, 58.42204808211163]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_126.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_126.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_126.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_126.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_126.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_126.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_126.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [67.46, 58.422], "center": [30.0, -10.0], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}, {"name": "hexagon", "size": [58.422, 67.46], "center": [0.0, 5.921189464667501e-16], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}, {"name": "hexagon", "size": [29.212, 33.73], "center": [0.0, 5.921189464667501e-16], "color": [0.7984853485727648, 0.5689212142656604, 0.08704339418294393]}, {"name": "hexagon", "size": [67.46, 58.422], "center": [0.0, 0.0], "color": [0.6315017201062135, 0.29726971120889256, 0.24757926370415928]}], "medium": [{"name": "hexagon", "size": [67.46, 58.422], "center": [30.0, -10.0], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}, {"name": "hexagon", "size": [33.730000000000004, 29.211000000000002], "center": [-0.00033333333333433285, -0.00016666666666687036], "color": [0.56660515202107, 0.714414677264944, 0.07572601244696475]}, {"name": "hexagon", "size": [67.46, 58.422], "center": [0.0, 0.0], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}, {"name": "hexagon", "size": [52.91538328981723, 58.422], "center": [7.401486830834377e-16, -1.6283271027835629e-15], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}], "hard": [{"name": "hexagon", "size": [33.730000000000004, 29.212], "center": [0.0003333333333337407, 0.0], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}, {"name": "hexagon", "size": [67.46, 58.422], "center": [30.0, -10.0], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}, {"name": "hexagon", "size": [58.422, 67.46], "center": [0.0, -5.921189464667501e-16], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}, {"name": "hexagon", "size": [67.46, 58.422], "center": [0.0, 0.0], "color": [0.28445948330987636, 0.8627459794700283, 0.06149556195966088]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [31.653999999999996, 31.654000000000003], "center": [30.0, -10.000000000000002], "color": [0.7442888272464583, 0.3827429170636977, 0.1493287408819417]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_126.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_126.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_126.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_126.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_126.png", "instructions": [["translate", [30, -10]]], "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 - Shift the hexagon to the right by a significant amount 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": "A", "hard": "B"}
1steps_easy_no_128
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, 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]]
easy
{"instance_id": 128, "shape_A": {"name": "pentagon", "facecolor": [0.5930054006438037, 0.9419136300152345, 0.8040628646611337], "edgecolor": "black", "center": [-1.0658141036401502e-15, 0.0], "size": [61.1231687059986, 64.26870292010014]}, "shape_B": {"name": "rectangle", "facecolor": [0.9647164539190701, 0.6279154357822818, 0.952016349820027], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.058240587309633, 22.124154793277015]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_128.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_128.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_128.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_128.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_128.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_128.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_128.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [37.96, 34.69], "center": [0.0, -3.3306690738754696e-16], "color": [0.7809379435062089, 0.19551907842738991, 0.48007575984852424]}, {"name": "rectangle", "size": [20.536, 21.44], "center": [0.0, 0.0], "color": [0.0326953839258054, 0.9022137488593465, 0.8270034992924131]}, {"name": "rectangle", "size": [31.058, 22.124000000000002], "center": [0.0, -8.881784197001252e-16], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}, {"name": "rectangle", "size": [15.53, 11.062], "center": [0.0, 0.0], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}], "medium": [{"name": "rectangle", "size": [37.96, 34.69], "center": [2.220446049250313e-16, 0.0], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}, {"name": "rectangle", "size": [31.058000000000003, 22.124], "center": [1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}, {"name": "rectangle", "size": [22.124, 31.060000000000002], "center": [0.0, 0.0], "color": [0.241011682133063, 0.6097618889369004, 0.9158178090963507]}, {"name": "rectangle", "size": [15.53, 11.062], "center": [0.0, 0.0], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}], "hard": [{"name": "rectangle", "size": [15.53, 11.062], "center": [0.0, 0.0], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}, {"name": "rectangle", "size": [31.058000000000003, 22.124], "center": [1.7763568394002505e-15, 0.0], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}, {"name": "rectangle", "size": [22.272, 36.254], "center": [0.0, 0.0], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}, {"name": "rectangle", "size": [37.96, 34.69], "center": [-3.552713678800501e-15, 0.0], "color": [0.9647164539190701, 0.6279154357822818, 0.952016349820027]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [30.561999999999998, 32.134], "center": [0.0, 0.0], "color": [0.5930054006438037, 0.9419136300152345, 0.8040628646611337]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_128.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_128.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_128.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_128.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_128.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\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": "A"}
1steps_easy_no_132
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right 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]]]
easy
{"instance_id": 132, "shape_A": {"name": "circle", "facecolor": [0.021231708991590548, 0.07463740305972888, 0.5007420612750013], "edgecolor": "black", "center": [9.769962616701378e-16, 1.7763568394002506e-16], "size": [60.03760994426216, 60.03760994426216]}, "shape_B": {"name": "hexagon", "facecolor": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [62.155505336388934, 53.82824660637206]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_132.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_132.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_132.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_132.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_132.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_132.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_132.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [62.156000000000006, 53.828], "center": [10.0, -10.0], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}, {"name": "hexagon", "size": [26.914, 31.078], "center": [0.0, -0.0003333333333331486], "color": [0.6542290501936274, 0.11837002383969775, 0.04678521711546535]}, {"name": "hexagon", "size": [62.156000000000006, 53.828], "center": [-2.9605947323337506e-16, 0.0], "color": [0.009901262672529554, 0.9841322099145199, 0.8994978989263288]}, {"name": "hexagon", "size": [53.828, 62.156], "center": [0.0, 5.921189464667501e-16], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}], "medium": [{"name": "hexagon", "size": [62.156000000000006, 53.828], "center": [10.0, -10.0], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}, {"name": "hexagon", "size": [62.156000000000006, 53.828], "center": [-2.9605947323337506e-16, 0.0], "color": [0.05074471728625951, 0.8714397601295296, 0.3067171154705335]}, {"name": "hexagon", "size": [46.61583087714783, 53.828], "center": [-1.1842378929335002e-15, 0.0], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}, {"name": "hexagon", "size": [26.914, 31.078], "center": [0.0, 0.0], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}], "hard": [{"name": "hexagon", "size": [62.156000000000006, 53.828], "center": [-2.9605947323337506e-16, 0.0], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}, {"name": "hexagon", "size": [31.078000000000003, 26.914], "center": [2.9605947323337506e-16, 0.0], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}, {"name": "hexagon", "size": [46.61583087714783, 53.828], "center": [0.0, 0.0], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}, {"name": "hexagon", "size": [62.156000000000006, 53.828], "center": [10.0, -10.0], "color": [0.36051728065352096, 0.6961876029467551, 0.9660906056008651]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [60.038, 60.038], "center": [10.000000000000004, -9.999999999999998], "color": [0.021231708991590548, 0.07463740305972888, 0.5007420612750013]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_132.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_132.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_132.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_132.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_132.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "A", "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 right 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": "A", "hard": "D"}
1steps_easy_no_137
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the right. <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', [10, 0]]]
easy
{"instance_id": 137, "shape_A": {"name": "pentagon", "facecolor": [0.8691124131062343, 0.42398420748582444, 0.5106225944967279], "edgecolor": "black", "center": [1.0658141036401502e-15, 7.105427357601002e-16], "size": [58.152738452332166, 61.14540771863538]}, "shape_B": {"name": "rectangle", "facecolor": [0.25671404156907385, 0.5059884255448216, 0.19116951967925566], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.73298196427528, 24.252468379971944]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_137.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_137.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_137.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_137.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_137.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_137.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.732, 24.252], "center": [0.0, 0.0], "color": [0.029765763994809458, 0.498217084884759, 0.7735832469091118]}, {"name": "rectangle", "size": [15.368, 12.126], "center": [0.0, 0.0], "color": [0.7503260854031112, 0.374161048180666, 0.9334877827813917]}, {"name": "rectangle", "size": [30.732, 24.252], "center": [10.0, 0.0], "color": [0.25671404156907385, 0.5059884255448216, 0.19116951967925566]}, {"name": "rectangle", "size": [36.37, 38.742], "center": [0.0, -2.220446049250313e-16], "color": [0.25671404156907385, 0.5059884255448216, 0.19116951967925566]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [58.153000000000006, 61.146], "center": [9.999999999999998, 7.105427357601002e-16], "color": [0.8691124131062343, 0.42398420748582444, 0.5106225944967279]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_137.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_137.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_137.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_137.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_137.png", "instructions": [["translate", [10, 0]]], "correct_answer": {"easy": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right. <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"}
1steps_easy_no_138
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the left 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]]]
easy
{"instance_id": 138, "shape_A": {"name": "circle", "facecolor": [0.9884508802489688, 0.8481320162463555, 0.5454669523496051], "edgecolor": "black", "center": [-1.7763568394002506e-16, 1.5765166949677222e-15], "size": [67.86076612604278, 67.86076612604278]}, "shape_B": {"name": "square", "facecolor": [0.5196136809538052, 0.02140117376854711, 0.9483309462309797], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.29150010261767, 32.29150010261767]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_138.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_138.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_138.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_138.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_138.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_138.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_138.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [44.112, 44.112], "center": [0.0, 0.0], "color": [0.042327620223693074, 0.9483364827543942, 0.268538421690082]}, {"name": "square", "size": [32.292, 32.292], "center": [-10.0, 10.0], "color": [0.5196136809538052, 0.02140117376854711, 0.9483309462309797]}, {"name": "square", "size": [32.292, 32.292], "center": [0.0, 0.0], "color": [0.5196136809538052, 0.02140117376854711, 0.9483309462309797]}, {"name": "square", "size": [22.055999999999997, 22.055999999999997], "center": [-4.440892098500626e-16, 0.0], "color": [0.1279047123506657, 0.3314984274189695, 0.08248710165527096]}], "medium": [{"name": "square", "size": [44.112, 44.111999999999995], "center": [0.0, -1.7763568394002505e-15], "color": [0.5196136809538052, 0.02140117376854711, 0.9483309462309797]}, {"name": "square", "size": [22.055999999999997, 22.055999999999997], "center": [0.0, 0.0], "color": [0.4774090470900949, 0.12261624370235324, 0.300310742795996]}, {"name": "square", "size": [32.292, 32.292], "center": [0.0, 0.0], "color": [0.5196136809538052, 0.02140117376854711, 0.9483309462309797]}, {"name": "square", "size": [32.292, 32.292], "center": [-10.0, 10.0], "color": [0.5196136809538052, 0.02140117376854711, 0.9483309462309797]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [67.86, 67.86], "center": [-9.999999999999998, 10.000000000000002], "color": [0.9884508802489688, 0.8481320162463555, 0.5454669523496051]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_138.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_138.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_138.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_138.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_138.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_138.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_138.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_138.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_138.png", "instructions": [["translate", [-10, 10]]], "correct_answer": {"easy": "B", "medium": "D"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the left 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": "B", "medium": "D"}
1steps_easy_no_140
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse 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.
D
[['translate', [0, -10]]]
easy
{"instance_id": 140, "shape_A": {"name": "square", "facecolor": [0.0037910469920241496, 0.9329726217669146, 0.8735761745531113], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.640040903548474, 34.640040903548474]}, "shape_B": {"name": "ellipse", "facecolor": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144], "edgecolor": "black", "center": [-3.552713678800501e-16, -5.662137425588298e-16], "size": [33.359618992726794, 22.844779423469042]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_140.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_140.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_140.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_140.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_140.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_140.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_140.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [11.422, 16.68], "center": [0.00025000000000031665, 1.7763568394002506e-16], "color": [0.8907482227996774, 0.7250080521615102, 0.10153854389207684]}, {"name": "ellipse", "size": [33.36, 22.844], "center": [-2.6645352591003756e-16, 4.440892098500626e-16], "color": [0.6926426128172773, 0.15123141171722165, 0.004619388790417678]}, {"name": "ellipse", "size": [25.810000000000002, 31.006], "center": [-2.220446049250313e-16, 0.0], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}, {"name": "ellipse", "size": [33.36, 22.844], "center": [-2.6645352591003756e-16, -9.999999999999998], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}], "medium": [{"name": "ellipse", "size": [33.36, 22.844], "center": [-2.6645352591003756e-16, 4.440892098500626e-16], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}, {"name": "ellipse", "size": [16.68, 11.422], "center": [-2.6645352591003756e-16, 0.00010000000000041088], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}, {"name": "ellipse", "size": [22.992475394614672, 22.844], "center": [-4.4408920985006264e-17, -2.220446049250313e-16], "color": [0.8780600351022301, 0.6612260911311894, 0.28816449360987106]}, {"name": "ellipse", "size": [33.36, 22.844], "center": [-2.6645352591003756e-16, -9.999999999999998], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}], "hard": [{"name": "ellipse", "size": [33.36, 22.844], "center": [-2.6645352591003756e-16, -9.999999999999998], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}, {"name": "ellipse", "size": [33.36, 22.844], "center": [-2.6645352591003756e-16, 4.440892098500626e-16], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}, {"name": "ellipse", "size": [25.81, 31.006], "center": [3.774758283725532e-16, 2.6645352591003756e-16], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}, {"name": "ellipse", "size": [16.68, 11.422], "center": [-1.7763568394002506e-16, 2.7755575615628914e-16], "color": [0.4829488155327263, 0.13736162229153315, 0.6869013228270144]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.64, 34.64], "center": [0.0, -10.0], "color": [0.0037910469920241496, 0.9329726217669146, 0.8735761745531113]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_140.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_140.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_140.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_140.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_140.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse 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": "D", "medium": "D", "hard": "A"}
1steps_easy_no_141
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount 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.
B
[['translate', [30, -30]]]
easy
{"instance_id": 141, "shape_A": {"name": "rectangle", "facecolor": [0.5324009791641828, 0.7093532426792666, 0.8852615687393909], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.835080348039284, 20.36986947837065]}, "shape_B": {"name": "circle", "facecolor": [0.5925680810882817, 0.19655943795547437, 0.560315029974039], "edgecolor": "black", "center": [-5.329070518200751e-16, 5.551115123125783e-16], "size": [65.23047219564711, 65.23047219564711]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_141.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_141.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_141.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_141.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_141.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_141.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_141.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [65.23, 65.23], "center": [5.329070518200751e-16, -5.329070518200751e-16], "color": [0.23994499448840356, 0.9382852721057046, 0.4586484263140318]}, {"name": "circle", "size": [65.23, 65.23], "center": [30.0, -29.999999999999993], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}, {"name": "circle", "size": [32.616, 32.614999999999995], "center": [5.0000000000238744e-05, 0.00037499999999828225], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}, {"name": "circle", "size": [78.322, 85.469], "center": [9.999999999825704e-05, -0.0002999999999958369], "color": [0.016573533957133235, 0.01305804950382139, 0.5020191010284092]}], "medium": [{"name": "circle", "size": [37.912, 40.688], "center": [2.5000000000785506e-05, -7.499999999942553e-05], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}, {"name": "circle", "size": [65.23, 65.23], "center": [5.329070518200751e-16, -5.329070518200751e-16], "color": [0.8305226527058176, 0.6570753708432575, 0.44021461957077623]}, {"name": "circle", "size": [65.23, 65.23], "center": [30.0, -29.999999999999993], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}, {"name": "circle", "size": [80.8, 95.604], "center": [2.3980817331903383e-15, -8.881784197001253e-17], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}], "hard": [{"name": "circle", "size": [115.514, 48.62], "center": [-5.5067062021407766e-15, 2.176037128265307e-15], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}, {"name": "circle", "size": [65.23, 65.23], "center": [5.329070518200751e-16, -5.329070518200751e-16], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}, {"name": "circle", "size": [65.23, 65.23], "center": [30.0, -29.999999999999993], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}, {"name": "circle", "size": [90.08699999999999, 82.692], "center": [0.0003749999999964615, -8.881784197001252e-16], "color": [0.5925680810882817, 0.19655943795547437, 0.560315029974039]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.836, 20.37], "center": [30.0, -30.0], "color": [0.5324009791641828, 0.7093532426792666, 0.8852615687393909]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_141.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_141.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_141.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_141.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_141.png", "instructions": [["translate", [30, -30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount 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": "B", "medium": "C", "hard": "C"}
1steps_easy_no_142
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon 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]]]
easy
{"instance_id": 142, "shape_A": {"name": "rectangle", "facecolor": [0.3810853202919626, 0.7187618030768167, 0.3585682319294434], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.232636862258435, 20.605373491907184]}, "shape_B": {"name": "pentagon", "facecolor": [0.7869514382788994, 0.6197866797725976, 0.817867017517123], "edgecolor": "black", "center": [-3.552713678800501e-16, 7.105427357601002e-16], "size": [59.51047380613467, 62.57301515367149]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_142.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_142.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_142.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_142.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_142.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_142.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_142.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [59.510999999999996, 62.574], "center": [-3.1412999999999984, 0.0], "color": [0.7187255030458007, 0.9578840037169695, 0.9157773445285431]}, {"name": "pentagon", "size": [72.96000000000001, 71.695], "center": [3.5832000000000024, -1.2633000000000023], "color": [0.7869514382788994, 0.6197866797725976, 0.817867017517123]}, {"name": "pentagon", "size": [29.756, 31.287], "center": [-1.5708, 0.00029999999999894553], "color": [0.32934894472722387, 0.9385901358086525, 0.6997299042951884]}, {"name": "pentagon", "size": [59.510999999999996, 62.574], "center": [0.00020000000000024442, 9.999999999999998], "color": [0.7869514382788994, 0.6197866797725976, 0.817867017517123]}], "medium": [{"name": "pentagon", "size": [59.510999999999996, 62.574], "center": [0.00020000000000024442, 9.999999999999998], "color": [0.7869514382788994, 0.6197866797725976, 0.817867017517123]}, {"name": "pentagon", "size": [29.712, 32.696], "center": [0.31779999999999975, -0.9120000000000008], "color": [0.06416389463860506, 0.5724380850101768, 0.7048094433796077]}, {"name": "pentagon", "size": [59.510999999999996, 62.574], "center": [-3.1412999999999984, 0.0], "color": [0.7869514382788994, 0.6197866797725976, 0.817867017517123]}, {"name": "pentagon", "size": [33.597, 93.733], "center": [-1.389699999999999, 2.453500000000001], "color": [0.7869514382788994, 0.6197866797725976, 0.817867017517123]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [31.232, 20.606], "center": [0.0, 10.0], "color": [0.3810853202919626, 0.7187618030768167, 0.3585682319294434]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_142.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_142.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_142.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_142.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_142.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_142.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_142.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_142.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_142.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "A"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon 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": "D", "medium": "A"}
1steps_easy_no_146
Imagine transforming a triangle step by step. <shapeB_image> Follow these changes: - Rotate the triangle by 30 degrees clockwise around its center. <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
[['rotate', -30]]
easy
{"instance_id": 146, "shape_A": {"name": "square", "facecolor": [0.30889531157024075, 0.987954325797917, 0.9109888682311688], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.28163164349713, 33.28163164349713]}, "shape_B": {"name": "triangle", "facecolor": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.51357084909928, 58.14635387079077]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_146.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_146.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_146.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_146.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_146.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_146.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_146.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [58.145999999999994, 33.513000000000005], "center": [-7.800999999999996, -4.2445], "color": [0.16246432829483615, 0.5939521383249137, 0.7823350275636346]}, {"name": "triangle", "size": [32.557, 60.19], "center": [-5.1935, 6.082999999999999], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}, {"name": "triangle", "size": [51.777, 52.367], "center": [0.09983333333333277, 1.5055000000000014], "color": [0.6040363625328617, 0.5136630843374924, 0.8655044263411126]}, {"name": "triangle", "size": [32.557, 60.19], "center": [0.0, 1.1842378929335002e-15], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}], "medium": [{"name": "triangle", "size": [30.095, 16.278], "center": [-3.0414999999999996, -2.597], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}, {"name": "triangle", "size": [32.557, 60.19], "center": [0.0, 1.1842378929335002e-15], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}, {"name": "triangle", "size": [32.557, 60.19], "center": [-5.1935, 6.082999999999999], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}, {"name": "triangle", "size": [32.557, 32.19019208661943], "center": [-0.935981887448202, 0.062067214721739226], "color": [0.533353719643724, 0.21343957781287104, 0.5646065106589024]}], "hard": [{"name": "triangle", "size": [16.756, 29.073], "center": [2.122, 3.9005000000000005], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}, {"name": "triangle", "size": [32.557, 60.19], "center": [0.0, 1.1842378929335002e-15], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}, {"name": "triangle", "size": [32.557, 60.19], "center": [-5.1935, 6.082999999999999], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}, {"name": "triangle", "size": [32.557, 17.60966426316664], "center": [-3.2903178434955973, -2.8094543611895673], "color": [0.7617689174914194, 0.34013478513767703, 0.09833161057949247]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.464, 45.464], "center": [2.220446049250313e-16, 0.0], "color": [0.30889531157024075, 0.987954325797917, 0.9109888682311688]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_146.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_146.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_146.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_146.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_146.png", "instructions": [["rotate", -30]], "correct_answer": {"easy": "D", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 30 degrees clockwise around its center. <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": "B"}
1steps_easy_no_148
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the left 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.
D
[['translate', [-10, 10]]]
easy
{"instance_id": 148, "shape_A": {"name": "triangle", "facecolor": [0.32356026588550313, 0.8280562260863944, 0.11599414341397318], "edgecolor": "black", "center": [0.0, 2.3684757858670005e-15], "size": [51.85960358547142, 27.882421317729726]}, "shape_B": {"name": "hexagon", "facecolor": [0.4684476045718483, 0.24231525266457832, 0.319239670277065], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [68.61223168673253, 59.41993565105399]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_148.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_148.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_148.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_148.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_148.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_148.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_148.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [68.612, 59.42], "center": [0.0, 0.0], "color": [0.9785920618176269, 0.7684080107607342, 0.2731178716061655]}, {"name": "hexagon", "size": [29.71, 34.306], "center": [0.0, 0.0], "color": [0.7209678317464311, 0.7296861421491706, 0.04114245378458159]}, {"name": "hexagon", "size": [59.42, 68.612], "center": [0.0, 0.0], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}, {"name": "hexagon", "size": [68.612, 59.42], "center": [-9.999999999999998, 10.000000000000002], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}], "medium": [{"name": "hexagon", "size": [68.612, 59.42], "center": [0.0, 0.0], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}, {"name": "hexagon", "size": [68.612, 59.42], "center": [-9.999999999999998, 10.000000000000002], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}, {"name": "hexagon", "size": [59.42, 68.612], "center": [0.0, 2.3684757858670005e-15], "color": [0.05675980913568013, 0.569538864829303, 0.020051173564558655]}, {"name": "hexagon", "size": [51.45945898676617, 59.42], "center": [0.0, 5.921189464667501e-16], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}], "hard": [{"name": "hexagon", "size": [34.306, 30.56], "center": [-2.9605947323337506e-16, -2.9605947323337506e-16], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}, {"name": "hexagon", "size": [51.45945898676617, 59.42], "center": [0.0, -4.736951571734001e-15], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}, {"name": "hexagon", "size": [68.612, 59.42], "center": [0.0, 0.0], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}, {"name": "hexagon", "size": [68.612, 59.42], "center": [-9.999999999999998, 10.000000000000002], "color": [0.4684476045718483, 0.24231525266457832, 0.319239670277065]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [51.86, 27.883000000000003], "center": [-9.999666666666668, 10.0], "color": [0.32356026588550313, 0.8280562260863944, 0.11599414341397318]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_148.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_148.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_148.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_148.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_148.png", "instructions": [["translate", [-10, 10]]], "correct_answer": {"easy": "D", "medium": "B", "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 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": "D", "medium": "B", "hard": "D"}
1steps_easy_no_152
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the right 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.
B
[['translate', [10, -30]]]
easy
{"instance_id": 152, "shape_A": {"name": "pentagon", "facecolor": [0.9340647050087837, 0.14271030580089106, 0.3532481286164679], "edgecolor": "black", "center": [-1.4210854715202005e-15, 0.0], "size": [61.926869007040985, 65.11376342625513]}, "shape_B": {"name": "rectangle", "facecolor": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.09933756908511, 22.555505329546495]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_152.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_152.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_152.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_152.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_152.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_152.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_152.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [22.555999999999997, 31.099999999999998], "center": [0.0, 1.7763568394002505e-15], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}, {"name": "rectangle", "size": [31.1, 22.555999999999997], "center": [10.0, -30.0], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}, {"name": "rectangle", "size": [38.212, 35.084], "center": [0.0, 0.0], "color": [0.5424734875344691, 0.6279623069166587, 0.24289772333474968]}, {"name": "rectangle", "size": [31.1, 22.555999999999997], "center": [0.0, 0.0], "color": [0.6061428900260636, 0.5603509331666058, 0.7374970241201185]}], "medium": [{"name": "rectangle", "size": [35.084, 38.209999999999994], "center": [0.0, 0.0], "color": [0.5107026241048378, 0.551552459609644, 0.3405450374563562]}, {"name": "rectangle", "size": [31.1, 22.555999999999997], "center": [10.0, -30.0], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}, {"name": "rectangle", "size": [17.542, 19.104], "center": [0.0, -1.1102230246251565e-16], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}, {"name": "rectangle", "size": [31.1, 22.555999999999997], "center": [0.0, 0.0], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}], "hard": [{"name": "rectangle", "size": [31.1, 22.555999999999997], "center": [10.0, -30.0], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}, {"name": "rectangle", "size": [16.359264823151122, 22.555999999999997], "center": [0.0, 0.0], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}, {"name": "rectangle", "size": [38.212, 35.084], "center": [8.881784197001252e-16, 0.0], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}, {"name": "rectangle", "size": [31.1, 22.555999999999997], "center": [0.0, 0.0], "color": [0.7446974223860053, 0.1424494404118931, 0.7714091230634759]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [61.927, 65.114], "center": [9.999600000000001, -30.0], "color": [0.9340647050087837, 0.14271030580089106, 0.3532481286164679]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_152.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_152.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_152.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_152.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_152.png", "instructions": [["translate", [10, -30]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "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 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": "B", "medium": "B", "hard": "A"}
1steps_easy_no_153
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the right by a significant amount 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.
B
[['translate', [30, -10]]]
easy
{"instance_id": 153, "shape_A": {"name": "hexagon", "facecolor": [0.36812803574121167, 0.6956647147842523, 0.35204837727819216], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.90949943518847, 57.945326265373765]}, "shape_B": {"name": "square", "facecolor": [0.9428113864777209, 0.06511994742612848, 0.5485393103846977], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.82016154668373, 32.82016154668373]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_153.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_153.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_153.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_153.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_153.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_153.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_153.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [22.415999999999997, 22.415999999999997], "center": [-4.440892098500626e-16, 0.0], "color": [0.9428113864777209, 0.06511994742612848, 0.5485393103846977]}, {"name": "square", "size": [32.81999999999999, 32.82], "center": [30.0, -10.0], "color": [0.9428113864777209, 0.06511994742612848, 0.5485393103846977]}, {"name": "square", "size": [32.81999999999999, 32.82], "center": [-1.7763568394002505e-15, 0.0], "color": [0.3062102605633048, 0.7532315350058327, 0.15821155688274458]}, {"name": "square", "size": [44.834, 44.834], "center": [0.0, 0.0], "color": [0.7334746044243816, 0.8962322112401766, 0.16680846686171302]}], "medium": [{"name": "square", "size": [32.81999999999999, 32.82], "center": [30.0, -10.0], "color": [0.9428113864777209, 0.06511994742612848, 0.5485393103846977]}, {"name": "square", "size": [22.415999999999997, 22.415999999999997], "center": [-4.440892098500626e-16, -4.440892098500626e-16], "color": [0.9428113864777209, 0.06511994742612848, 0.5485393103846977]}, {"name": "square", "size": [44.831999999999994, 44.831999999999994], "center": [-8.881784197001252e-16, 8.881784197001252e-16], "color": [0.16982233214522025, 0.5719177634904934, 0.503190578007713]}, {"name": "square", "size": [32.81999999999999, 32.82], "center": [-1.7763568394002505e-15, 0.0], "color": [0.9428113864777209, 0.06511994742612848, 0.5485393103846977]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.91, 57.946], "center": [30.0, -10.0], "color": [0.36812803574121167, 0.6956647147842523, 0.35204837727819216]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_153.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_153.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_153.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_153.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_153.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_153.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_153.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_153.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_153.png", "instructions": [["translate", [30, -10]]], "correct_answer": {"easy": "B", "medium": "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 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": "B", "medium": "A"}
1steps_easy_no_155
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0> After these transformations, which of the following shapes best represents the final result? For reference, the black dots in each panel of the figures indicate the origin.
A
[['rotate', 30]]
easy
{"instance_id": 155, "shape_A": {"name": "square", "facecolor": [0.9277084126212738, 0.1105769009375639, 0.49610115159648405], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.50968188647141, 34.50968188647141]}, "shape_B": {"name": "circle", "facecolor": [0.3049064110746965, 0.9130354350139465, 0.805512555257998], "edgecolor": "black", "center": [-1.7763568394002506e-16, 3.774758283725532e-16], "size": [66.6476348580424, 66.6476348580424]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_155.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_155.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_155.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_155.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_155.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_155.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_155.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [66.556, 66.556], "center": [1.0658141036401502e-15, 0.0], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}, {"name": "circle", "size": [33.324, 33.324], "center": [4.440892098500626e-16, -1.5987211554602255e-15], "color": [0.5697223851634781, 0.24855208662565187, 0.5050315380033504]}, {"name": "circle", "size": [39.385000000000005, 43.896], "center": [-0.0002250000000017849, 4.884981308350689e-16], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}, {"name": "circle", "size": [81.17, 87.672], "center": [-1.0658141036401502e-15, 5.329070518200751e-16], "color": [0.43526497561050914, 0.6542229657032137, 0.9087064886854652]}], "medium": [{"name": "circle", "size": [66.556, 66.556], "center": [1.0658141036401502e-15, 0.0], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}, {"name": "circle", "size": [93.43, 89.882], "center": [1.0658141036401502e-15, 2.6645352591003757e-15], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}, {"name": "circle", "size": [33.324, 33.324], "center": [4.440892098500626e-16, -1.1102230246251565e-16], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}, {"name": "circle", "size": [86.606, 77.47800000000001], "center": [1.7763568394002506e-16, -7.993605777301127e-16], "color": [0.14895473176505747, 0.6330025218198984, 0.11435206581343804]}], "hard": [{"name": "circle", "size": [95.718, 119.538], "center": [-6.572520305780927e-15, -1.5654144647214707e-15], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}, {"name": "circle", "size": [66.556, 66.556], "center": [1.0658141036401502e-15, 0.0], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}, {"name": "circle", "size": [49.981436292455825, 66.556], "center": [7.993605777301127e-16, -3.730349362740526e-15], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}, {"name": "circle", "size": [33.324, 33.324], "center": [4.440892098500626e-16, -1.1102230246251565e-16], "color": [0.3049064110746965, 0.9130354350139465, 0.805512555257998]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [47.142, 47.142], "center": [0.0, 2.220446049250313e-16], "color": [0.9277084126212738, 0.1105769009375639, 0.49610115159648405]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_155.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_155.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_155.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_155.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_155.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "A", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n\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_easy_no_156
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.
A
[['scale', 0.5]]
easy
{"instance_id": 156, "shape_A": {"name": "rectangle", "facecolor": [0.9085224798865001, 0.19969940834722544, 0.25582074877575145], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.43890451249355, 21.53980665306327]}, "shape_B": {"name": "circle", "facecolor": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627], "edgecolor": "black", "center": [-8.881784197001252e-16, -5.773159728050814e-16], "size": [64.94227498736119, 64.94227498736119]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_156.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_156.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_156.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_156.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_156.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_156.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_156.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [32.472, 32.472], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}, {"name": "circle", "size": [81.958, 91.589], "center": [-1.7763568394002506e-16, -2.49999999997641e-05], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}, {"name": "circle", "size": [71.68, 74.784], "center": [-2.1316282072803005e-15, 1.021405182655144e-15], "color": [0.07192733305374488, 0.6100393892196845, 0.4858373598920189]}, {"name": "circle", "size": [82.09, 74.08099999999999], "center": [5.000000000165983e-05, 0.0003999999999966697], "color": [0.42155337547150595, 0.9708361274751942, 0.1842049315274863]}], "medium": [{"name": "circle", "size": [85.29, 82.19], "center": [1.5987211554602255e-15, -5.000000000112692e-05], "color": [0.5746924615531133, 0.3599527265051684, 0.7935936702538836]}, {"name": "circle", "size": [92.736, 58.048], "center": [1.9539925233402757e-15, 4.884981308350689e-16], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}, {"name": "circle", "size": [32.472, 32.472], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}, {"name": "circle", "size": [64.94200000000001, 64.942], "center": [-1.2434497875801752e-15, -8.881784197001252e-16], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}], "hard": [{"name": "circle", "size": [43.694, 41.676], "center": [2.5000000001274003e-05, -0.00024999999999941735], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}, {"name": "circle", "size": [64.942, 64.94200000000001], "center": [-2.842170943040401e-15, -7.105427357601002e-16], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}, {"name": "circle", "size": [32.472, 32.472], "center": [3.552713678800501e-16, -5.329070518200751e-16], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}, {"name": "circle", "size": [78.786, 73.092], "center": [3.552713678800501e-16, -2.7533531010703883e-15], "color": [0.7643382973007086, 0.5876064518569786, 0.48956417437923627]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [16.22, 10.77], "center": [0.0, 0.0], "color": [0.9085224798865001, 0.19969940834722544, 0.25582074877575145]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_156.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_156.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_156.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_156.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_156.png", "instructions": [["scale", 0.5]], "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 - 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": "A", "medium": "C", "hard": "C"}
1steps_easy_no_158
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0> 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]]]
easy
{"instance_id": 158, "shape_A": {"name": "hexagon", "facecolor": [0.05586527532356167, 0.6715735778180855, 0.02369785128441415], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [64.90126599455603, 56.20614508905665]}, "shape_B": {"name": "square", "facecolor": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.21098990523038, 34.21098990523038]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_158.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_158.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_158.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_158.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_158.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_158.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_158.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [34.209999999999994, 34.21], "center": [-1.7763568394002505e-15, 0.0], "color": [0.8064842921072959, 0.7476522708574118, 0.6743139838895179]}, {"name": "square", "size": [34.209999999999994, 34.21], "center": [29.999999999999996, 10.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}, {"name": "square", "size": [46.734, 46.734], "center": [2.220446049250313e-16, 0.0], "color": [0.49044909935117564, 0.8378292345560062, 0.63459253210316]}, {"name": "square", "size": [23.366, 23.366], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}], "medium": [{"name": "square", "size": [34.209999999999994, 34.21], "center": [-1.7763568394002505e-15, 0.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}, {"name": "square", "size": [34.209999999999994, 34.21], "center": [29.999999999999996, 10.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}, {"name": "square", "size": [46.732, 46.732], "center": [0.0, 2.220446049250313e-16], "color": [0.3565635841147068, 0.27013147769063994, 0.2341879140940767]}, {"name": "square", "size": [17.106, 17.106], "center": [0.0, 0.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}], "hard": [{"name": "square", "size": [46.734, 46.734], "center": [-2.220446049250313e-16, 0.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}, {"name": "square", "size": [34.209999999999994, 34.21], "center": [-1.7763568394002505e-15, 0.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}, {"name": "square", "size": [34.209999999999994, 34.21], "center": [29.999999999999996, 10.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}, {"name": "square", "size": [17.105999999999998, 17.106], "center": [-1.7763568394002505e-15, 0.0], "color": [0.7760688170584913, 0.35696550895275114, 0.36620015520741267]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [64.902, 56.206], "center": [30.0, 10.000000000000002], "color": [0.05586527532356167, 0.6715735778180855, 0.02369785128441415]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_158.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_158.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_158.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_158.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_158.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the right by a significant amount and slightly upward. <shapeB_step_0>\n\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"}
1steps_easy_no_161
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0> 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]]]
easy
{"instance_id": 161, "shape_A": {"name": "pentagon", "facecolor": [0.5532325373555201, 0.4785183744560434, 0.3516220660237963], "edgecolor": "black", "center": [-3.552713678800501e-16, 7.105427357601002e-16], "size": [56.341301125761206, 59.24074979817085]}, "shape_B": {"name": "circle", "facecolor": [0.7114200592556221, 0.18219486838149546, 0.3026898944532076], "edgecolor": "black", "center": [-1.5099033134902129e-15, -9.992007221626409e-16], "size": [64.35683249923517, 64.35683249923517]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_161.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_161.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_161.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_161.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_161.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_161.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_161.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.356, 64.356], "center": [30.0, 30.000000000000007], "color": [0.7114200592556221, 0.18219486838149546, 0.3026898944532076]}, {"name": "circle", "size": [64.356, 64.356], "center": [7.105427357601002e-16, -1.1102230246251565e-15], "color": [0.5555230197539252, 0.2629060533984552, 0.4431491849763314]}, {"name": "circle", "size": [38.956, 37.469], "center": [8.881784197001252e-16, -9.99999999990342e-05], "color": [0.23581580384278256, 0.47542702002442516, 0.05447982864187184]}, {"name": "circle", "size": [78.418, 74.402], "center": [-4.999999999668603e-05, -9.769962616701378e-16], "color": [0.7114200592556221, 0.18219486838149546, 0.3026898944532076]}], "medium": [{"name": "circle", "size": [32.178, 32.178], "center": [-0.00020000000000015562, 0.0001999999999990898], "color": [0.7114200592556221, 0.18219486838149546, 0.3026898944532076]}, {"name": "circle", "size": [64.356, 64.356], "center": [30.0, 30.000000000000007], "color": [0.7114200592556221, 0.18219486838149546, 0.3026898944532076]}, {"name": "circle", "size": [64.356, 64.356], "center": [7.105427357601002e-16, -1.1102230246251565e-15], "color": [0.7114200592556221, 0.18219486838149546, 0.3026898944532076]}, {"name": "circle", "size": [73.631, 69.19], "center": [-0.000350000000000783, -1.7763568394002505e-15], "color": [0.8159738638131615, 0.46750359814716647, 0.6132462717115257]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [56.342000000000006, 59.239999999999995], "center": [29.9998, 29.999999999999993], "color": [0.5532325373555201, 0.4785183744560434, 0.3516220660237963]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_161.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_161.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_161.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_161.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_161.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_161.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_161.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_161.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_161.png", "instructions": [["translate", [30, 30]]], "correct_answer": {"easy": "A", "medium": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount and significantly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B"}
1steps_easy_no_162
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse a little to the left and significantly upward. <shapeB_step_0> 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]]]
easy
{"instance_id": 162, "shape_A": {"name": "hexagon", "facecolor": [0.827898802019231, 0.0018314963078650548, 0.8852533558782073], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.46977172962727, 57.56451090160992]}, "shape_B": {"name": "ellipse", "facecolor": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008], "edgecolor": "black", "center": [-7.549516567451064e-16, 3.885780586188048e-16], "size": [31.116413293702887, 21.514140188671178]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_162.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_162.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_162.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_162.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_162.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_162.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_162.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [31.116, 21.514], "center": [-9.999999999999998, 29.999999999999993], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}, {"name": "ellipse", "size": [31.116, 21.514], "center": [-1.7763568394002506e-16, -1.7763568394002506e-16], "color": [0.6373057542022631, 0.3328566101874775, 0.37490286906804504]}, {"name": "ellipse", "size": [10.758, 15.558], "center": [1.3877787807814457e-16, -8.881784197001253e-17], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}, {"name": "ellipse", "size": [21.514000000000003, 31.116], "center": [1.3322676295501878e-16, 8.881784197001253e-17], "color": [0.383197887220609, 0.29036148562407393, 0.948781605179253]}], "medium": [{"name": "ellipse", "size": [31.116, 21.514], "center": [-9.999999999999998, 29.999999999999993], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}, {"name": "ellipse", "size": [21.514, 31.116], "center": [1.27675647831893e-16, -1.7763568394002506e-16], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}, {"name": "ellipse", "size": [31.116, 21.514], "center": [-1.7763568394002506e-16, -1.7763568394002506e-16], "color": [0.4392273755218473, 0.4977885691912254, 0.17510737566113665]}, {"name": "ellipse", "size": [15.558, 10.756], "center": [0.0002499999999997282, -0.00024999999999888447], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}], "hard": [{"name": "ellipse", "size": [31.116, 21.514], "center": [-1.7763568394002506e-16, -1.7763568394002506e-16], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}, {"name": "ellipse", "size": [15.725492222650725, 21.513999999999996], "center": [-7.327471962526033e-16, 3.552713678800501e-16], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}, {"name": "ellipse", "size": [24.218, 28.952], "center": [-5.773159728050814e-16, 2.6645352591003756e-16], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}, {"name": "ellipse", "size": [31.116, 21.514], "center": [-9.999999999999998, 29.999999999999993], "color": [0.9106499999036434, 0.1404805110433155, 0.5998468004502008]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.47, 57.56399999999999], "center": [-10.000000000000002, 29.999999999999996], "color": [0.827898802019231, 0.0018314963078650548, 0.8852533558782073]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_162.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_162.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_162.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_162.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_162.png", "instructions": [["translate", [-10, 30]]], "correct_answer": {"easy": "A", "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 left 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": "A", "medium": "A", "hard": "D"}
1steps_easy_no_163
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse 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', [0, 10]]]
easy
{"instance_id": 163, "shape_A": {"name": "triangle", "facecolor": [0.6431723256264801, 0.969564846525766, 0.4701132623757399], "edgecolor": "black", "center": [0.0, 1.7763568394002505e-15], "size": [42.012737972383086, 58.8522061231939]}, "shape_B": {"name": "ellipse", "facecolor": [0.5026391121710717, 0.9481151984908583, 0.3065825888106487], "edgecolor": "black", "center": [-1.3322676295501878e-16, 8.881784197001253e-17], "size": [30.749028895992815, 24.382812665733482]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_163.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_163.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_163.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_163.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_163.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_163.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [30.75, 24.381999999999998], "center": [1.3322676295501878e-16, -1.9984014443252818e-16], "color": [0.8313296492823337, 0.6574598564112428, 0.6788462038767513]}, {"name": "ellipse", "size": [30.75, 24.381999999999998], "center": [1.3322676295501878e-16, 10.0], "color": [0.5026391121710717, 0.9481151984908583, 0.3065825888106487]}, {"name": "ellipse", "size": [20.336, 35.05], "center": [-5.551115123125783e-16, -1.5099033134902129e-15], "color": [0.5026391121710717, 0.9481151984908583, 0.3065825888106487]}, {"name": "ellipse", "size": [13.06, 14.63], "center": [-3.774758283725532e-16, -5.10702591327572e-16], "color": [0.9118800477469644, 0.05423508310931613, 0.9856473983078577]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [42.013000000000005, 58.852], "center": [0.0003333333333325565, 10.000333333333332], "color": [0.6431723256264801, 0.969564846525766, 0.4701132623757399]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_163.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_163.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_163.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_163.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_163.png", "instructions": [["translate", [0, 10]]], "correct_answer": {"easy": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse slightly upward. <shapeB_step_0>\n\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"}
1steps_easy_no_165
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right 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.
A
[['translate', [30, 10]]]
easy
{"instance_id": 165, "shape_A": {"name": "pentagon", "facecolor": [0.6352986424835275, 0.08425178295345293, 0.5803888134994615], "edgecolor": "black", "center": [-7.105427357601002e-16, 1.4210854715202005e-15], "size": [61.449834580106355, 64.61217974667221]}, "shape_B": {"name": "ellipse", "facecolor": [0.969276176260035, 0.49939093550965163, 0.5240755792858576], "edgecolor": "black", "center": [-4.4408920985006264e-17, 2.7755575615628914e-17], "size": [30.297929473190575, 20.968573673518215]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_165.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_165.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_165.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_165.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_165.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_165.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_165.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [30.298000000000002, 20.968000000000004], "center": [30.0, 9.999999999999998], "color": [0.969276176260035, 0.49939093550965163, 0.5240755792858576]}, {"name": "ellipse", "size": [20.968000000000004, 30.298000000000002], "center": [-1.5987211554602255e-15, -1.7763568394002506e-16], "color": [0.4073105439657634, 0.13524218584333847, 0.5199313605880845]}, {"name": "ellipse", "size": [30.298000000000002, 20.968000000000004], "center": [-1.7763568394002506e-16, 3.108624468950438e-16], "color": [0.969276176260035, 0.49939093550965163, 0.5240755792858576]}, {"name": "ellipse", "size": [15.148, 10.483999999999998], "center": [-8.881784197001253e-17, 3.552713678800501e-16], "color": [0.3272732128348078, 0.6852977815713543, 0.36957161789057813]}], "medium": [{"name": "ellipse", "size": [30.298000000000002, 20.968000000000004], "center": [-1.7763568394002506e-16, 3.108624468950438e-16], "color": [0.21360143769809892, 0.486298525395507, 0.24949824584356306]}, {"name": "ellipse", "size": [30.298000000000002, 20.968000000000004], "center": [30.0, 9.999999999999998], "color": [0.969276176260035, 0.49939093550965163, 0.5240755792858576]}, {"name": "ellipse", "size": [24.472, 30.608], "center": [2.6645352591003756e-16, -4.4408920985006264e-17], "color": [0.969276176260035, 0.49939093550965163, 0.5240755792858576]}, {"name": "ellipse", "size": [11.152, 51.428], "center": [-8.881784197001253e-17, -8.881784197001253e-17], "color": [0.969276176260035, 0.49939093550965163, 0.5240755792858576]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [61.45, 64.612], "center": [30.000200000000007, 10.0], "color": [0.6352986424835275, 0.08425178295345293, 0.5803888134994615]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_165.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_165.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_165.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_165.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_165.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_165.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_165.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_165.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_165.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "A", "medium": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount 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": "B"}
1steps_easy_no_167
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, 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.
B
[['scale', 0.5]]
easy
{"instance_id": 167, "shape_A": {"name": "circle", "facecolor": [0.8921708815400505, 0.7894169075543088, 0.7170703956899193], "edgecolor": "black", "center": [-8.881784197001252e-16, 3.774758283725532e-16], "size": [60.72489495931711, 60.72489495931711]}, "shape_B": {"name": "rectangle", "facecolor": [0.440486499955011, 0.6699255702759788, 0.9939784982116764], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.62458893029765, 22.349924714353584]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_167.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_167.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_167.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_167.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_167.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_167.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_167.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [35.168, 38.562], "center": [0.0, 0.0], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}, {"name": "rectangle", "size": [15.812, 11.174], "center": [0.0, 0.0], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}, {"name": "rectangle", "size": [31.624000000000002, 22.349999999999998], "center": [0.0, -1.7763568394002505e-15], "color": [0.19530804421256998, 0.7617736228856903, 0.3023684893726396]}, {"name": "rectangle", "size": [64.854, 11.712000000000003], "center": [0.0, 0.0], "color": [0.3922093432656809, 0.21183455206109914, 0.06768682323470399]}], "medium": [{"name": "rectangle", "size": [22.35, 31.624], "center": [0.0, 0.0], "color": [0.7801646196733559, 0.6153230641639781, 0.16503924048005225]}, {"name": "rectangle", "size": [15.812, 11.174], "center": [0.0, 0.0], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}, {"name": "rectangle", "size": [27.64, 40.708], "center": [0.0, 0.0], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}, {"name": "rectangle", "size": [38.562, 35.168], "center": [0.0, -4.440892098500626e-16], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}], "hard": [{"name": "rectangle", "size": [47.852, 33.38], "center": [0.0, -8.881784197001252e-16], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}, {"name": "rectangle", "size": [31.623999999999995, 22.349999999999998], "center": [-8.881784197001252e-16, -1.7763568394002505e-15], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}, {"name": "rectangle", "size": [15.812, 11.174], "center": [0.0, 0.0], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}, {"name": "rectangle", "size": [22.35, 31.624], "center": [0.0, 0.0], "color": [0.440486499955011, 0.6699255702759788, 0.9939784982116764]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [30.362, 30.362], "center": [-4.4408920985006264e-17, 0.0], "color": [0.8921708815400505, 0.7894169075543088, 0.7170703956899193]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_167.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_167.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_167.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_167.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_167.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, 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": "B", "hard": "C"}
1steps_easy_no_168
Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes: - Shift the pentagon 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.
A
[['translate', [30, 30]]]
easy
{"instance_id": 168, "shape_A": {"name": "triangle", "facecolor": [0.07508478994077672, 0.9138944947612855, 0.9754062566761055], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [42.77148457655778, 48.50921850960172]}, "shape_B": {"name": "pentagon", "facecolor": [0.2572416562543729, 0.958791724381655, 0.04182997928618892], "edgecolor": "black", "center": [-1.0658141036401502e-15, 0.0], "size": [58.76571915138943, 61.789933767881266]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_168.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_168.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_168.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_168.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_168.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_168.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_168.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [58.766, 61.790000000000006], "center": [29.999799999999993, 30.0], "color": [0.2572416562543729, 0.958791724381655, 0.04182997928618892]}, {"name": "pentagon", "size": [67.572, 74.656], "center": [1.3010000000000006, -0.38480000000000203], "color": [0.8264603875311619, 0.5819031154890596, 0.01736308667567721]}, {"name": "pentagon", "size": [58.766, 61.790000000000006], "center": [-3.1021999999999976, 7.105427357601002e-16], "color": [0.2572416562543729, 0.958791724381655, 0.04182997928618892]}, {"name": "pentagon", "size": [29.382, 30.894000000000002], "center": [-1.5510000000000006, 0.0], "color": [0.8867545282212134, 0.6074040597700499, 0.5891590123372947]}], "hard": [{"name": "pentagon", "size": [30.896, 29.383000000000003], "center": [0.0, 1.5509000000000006], "color": [0.2572416562543729, 0.958791724381655, 0.04182997928618892]}, {"name": "pentagon", "size": [58.766, 61.790000000000006], "center": [29.999799999999993, 30.0], "color": [0.2572416562543729, 0.958791724381655, 0.04182997928618892]}, {"name": "pentagon", "size": [17.490000000000002, 49.086], "center": [0.8186, -2.0894000000000004], "color": [0.2572416562543729, 0.958791724381655, 0.04182997928618892]}, {"name": "pentagon", "size": [58.766, 61.790000000000006], "center": [-3.1021999999999976, 7.105427357601002e-16], "color": [0.2572416562543729, 0.958791724381655, 0.04182997928618892]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [42.771, 48.509], "center": [30.0, 30.000000000000004], "color": [0.07508478994077672, 0.9138944947612855, 0.9754062566761055]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_168.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_168.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_168.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_168.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_168.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_168.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_168.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_168.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_168.png", "instructions": [["translate", [30, 30]]], "correct_answer": {"easy": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the right by a significant amount and significantly 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", "hard": "B"}
1steps_easy_no_170
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle to the right 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.
A
[['translate', [30, 0]]]
easy
{"instance_id": 170, "shape_A": {"name": "pentagon", "facecolor": [0.0752869810896909, 0.6156075103599384, 0.5757699180707502], "edgecolor": "black", "center": [0.0, 1.4210854715202005e-15], "size": [61.434890810755086, 64.59646693771163]}, "shape_B": {"name": "circle", "facecolor": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714], "edgecolor": "black", "center": [-5.329070518200751e-16, -5.10702591327572e-16], "size": [60.68484952574412, 60.68484952574412]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_170.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_170.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_170.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_170.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_170.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_170.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_170.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [60.684, 60.684], "center": [30.0, -2.6645352591003756e-16], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}, {"name": "circle", "size": [67.46, 72.14], "center": [1.7763568394002506e-16, 8.881784197001252e-16], "color": [0.524684739535159, 0.9202049815603431, 0.6779666345508117]}, {"name": "circle", "size": [60.684, 60.684], "center": [-1.7763568394002506e-16, -2.6645352591003756e-16], "color": [0.2889686847076468, 0.43828123080313375, 0.031228968783916677]}, {"name": "circle", "size": [32.254, 34.354], "center": [-2.4999999999897327e-05, -0.00014999999999831815], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}], "medium": [{"name": "circle", "size": [60.684, 27.690586506163786], "center": [-2.6645352591003757e-15, 6.217248937900876e-16], "color": [0.6554600872414187, 0.8237857275229753, 0.4926310851553102]}, {"name": "circle", "size": [60.684, 60.684], "center": [30.0, -2.6645352591003756e-16], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}, {"name": "circle", "size": [60.684, 60.684], "center": [-1.7763568394002506e-16, -2.6645352591003756e-16], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}, {"name": "circle", "size": [68.249, 70.472], "center": [-2.4999999999231193e-05, 1.9539925233402757e-15], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}], "hard": [{"name": "circle", "size": [60.684, 60.684], "center": [-1.7763568394002506e-16, -2.6645352591003756e-16], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}, {"name": "circle", "size": [60.684, 60.684], "center": [30.0, -2.6645352591003756e-16], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}, {"name": "circle", "size": [78.668, 84.03], "center": [-1.7763568394002506e-16, -2.1316282072803005e-15], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}, {"name": "circle", "size": [31.908, 33.222], "center": [-2.4999999999053557e-05, 9.999999999958931e-05], "color": [0.02511040110244611, 0.049222987432809395, 0.48770668654876714]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [61.435, 64.596], "center": [29.999600000000004, 0.0], "color": [0.0752869810896909, 0.6156075103599384, 0.5757699180707502]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_170.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_170.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_170.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_170.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_170.png", "instructions": [["translate", [30, 0]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the right by a significant amount. <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": "B", "hard": "B"}
1steps_easy_no_171
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> 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]]
easy
{"instance_id": 171, "shape_A": {"name": "ellipse", "facecolor": [0.055334330343984384, 0.9783603097676754, 0.8768970544985659], "edgecolor": "black", "center": [0.0, -2.1649348980190552e-16], "size": [31.87137326081604, 21.18476582010689]}, "shape_B": {"name": "triangle", "facecolor": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588], "edgecolor": "black", "center": [1.1842378929335002e-15, -2.3684757858670005e-15], "size": [31.204627797923543, 44.700406589543675]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_171.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_171.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_171.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_171.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_171.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_171.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_171.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [44.7, 31.204], "center": [6.309, -0.312], "color": [0.19204073257859156, 0.6656470094139102, 0.6529720237341676]}, {"name": "triangle", "size": [7.423, 28.216], "center": [0.2805, 3.096], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}, {"name": "triangle", "size": [44.7, 31.204], "center": [0.0, 0.0], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}, {"name": "triangle", "size": [28.414, 49.373000000000005], "center": [-2.9673333333333343, -2.8845000000000005], "color": [0.11356516626406332, 0.9268418528103424, 0.3547833991411221]}], "medium": [{"name": "triangle", "size": [31.204, 44.7], "center": [-0.312, -6.309], "color": [0.44289943505674534, 0.6656256659029904, 0.800615400419937]}, {"name": "triangle", "size": [44.7, 31.204], "center": [6.309, -0.312], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}, {"name": "triangle", "size": [21.782765458612978, 31.204000000000004], "center": [-0.2177997315436245, 4.404161879194633], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}, {"name": "triangle", "size": [44.7, 31.204], "center": [0.0, 0.0], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}], "hard": [{"name": "triangle", "size": [7.244585926280516, 31.204], "center": [-0.3125340796111509, 3.0495053209117358], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}, {"name": "triangle", "size": [44.7, 31.204], "center": [6.309, -0.312], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}, {"name": "triangle", "size": [44.7, 31.204], "center": [0.0, 0.0], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}, {"name": "triangle", "size": [17.95779993113645, 31.203999999999997], "center": [1.875370533152397, 1.823019423571586], "color": [0.34026502159410976, 0.0016255517741741166, 0.1593809912397588]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [21.184, 31.872], "center": [2.7755575615628914e-16, -1.3322676295501878e-16], "color": [0.055334330343984384, 0.9783603097676754, 0.8768970544985659]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_171.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_171.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_171.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_171.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_171.png", "instructions": [["rotate", -90]], "correct_answer": {"easy": "C", "medium": "D", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "medium": "D", "hard": "C"}
1steps_easy_no_173
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle 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.
D
[['translate', [10, 10]]]
easy
{"instance_id": 173, "shape_A": {"name": "triangle", "facecolor": [0.6216635029469166, 0.9666093588253308, 0.17734111216025783], "edgecolor": "black", "center": [1.1842378929335002e-15, 0.0], "size": [43.381018873866054, 58.80405310567207]}, "shape_B": {"name": "circle", "facecolor": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124], "edgecolor": "black", "center": [-1.7763568394002506e-16, -6.661338147750939e-16], "size": [60.12558958672416, 60.12558958672416]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_173.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_173.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_173.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_173.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_173.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_173.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_173.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [79.9, 71.378], "center": [0.00015000000000089386, -2.9753977059954196e-15], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}, {"name": "circle", "size": [60.126000000000005, 60.126000000000005], "center": [-1.7763568394002506e-16, -2.6867397195928787e-15], "color": [0.0006183747313986965, 0.5707682780452448, 0.8116170799582908]}, {"name": "circle", "size": [39.512, 36.008], "center": [-1.7763568394002506e-16, -5.773159728050814e-16], "color": [0.36237463083188615, 0.5460801696402963, 0.6005995394876098]}, {"name": "circle", "size": [60.126000000000005, 60.126000000000005], "center": [9.999999999999998, 10.0], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}], "medium": [{"name": "circle", "size": [30.063000000000002, 30.062999999999995], "center": [0.0006750000000009138, -0.0003249999999978215], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}, {"name": "circle", "size": [60.126000000000005, 60.126000000000005], "center": [-1.7763568394002506e-16, -2.6867397195928787e-15], "color": [0.9169295072984186, 0.9966984725039895, 0.650100848025536]}, {"name": "circle", "size": [72.972, 77.692], "center": [-5.329070518200751e-16, 1.1546319456101628e-15], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}, {"name": "circle", "size": [60.126000000000005, 60.126000000000005], "center": [9.999999999999998, 10.0], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}], "hard": [{"name": "circle", "size": [60.126000000000005, 60.126000000000005], "center": [9.999999999999998, 10.0], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}, {"name": "circle", "size": [60.126000000000005, 60.126000000000005], "center": [-1.7763568394002506e-16, -2.6867397195928787e-15], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}, {"name": "circle", "size": [96.748, 96.262], "center": [-5.329070518200751e-16, -3.1086244689504383e-15], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}, {"name": "circle", "size": [30.062999999999995, 30.064], "center": [0.00032499999999919816, -3.3306690738754695e-17], "color": [0.9231016882912133, 0.36699476349733706, 0.6569887979706124]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [43.381, 58.804], "center": [10.000333333333332, 10.000000000000002], "color": [0.6216635029469166, 0.9666093588253308, 0.17734111216025783]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_173.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_173.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_173.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_173.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_173.png", "instructions": [["translate", [10, 10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly 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": "D", "medium": "D", "hard": "A"}
1steps_easy_no_175
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square a little to the right and significantly downward. <shapeB_step_0> 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]]]
easy
{"instance_id": 175, "shape_A": {"name": "rectangle", "facecolor": [0.48311839031303494, 0.4101880589727046, 0.13177887946898403], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.13197134521368, 24.146161674093538]}, "shape_B": {"name": "square", "facecolor": [0.7313491733054194, 0.009596966041495847, 0.22409413387198285], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.57070581533918, 31.57070581533918]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_175.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_175.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_175.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_175.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_175.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_175.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_175.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [31.57, 31.569999999999997], "center": [10.0, -30.0], "color": [0.7313491733054194, 0.009596966041495847, 0.22409413387198285]}, {"name": "square", "size": [31.57, 31.569999999999997], "center": [0.0, 1.7763568394002505e-15], "color": [0.2918087703422939, 0.8178731948363727, 0.7016223667604264]}, {"name": "square", "size": [43.126, 43.126000000000005], "center": [0.0, 0.0], "color": [0.7313491733054194, 0.009596966041495847, 0.22409413387198285]}, {"name": "square", "size": [15.786000000000001, 15.786000000000001], "center": [-4.440892098500626e-16, 0.0], "color": [0.029722026201265517, 0.9564964110967732, 0.9338367141338326]}], "medium": [{"name": "square", "size": [21.564, 21.564], "center": [1.1102230246251565e-16, 0.0], "color": [0.7313491733054194, 0.009596966041495847, 0.22409413387198285]}, {"name": "square", "size": [31.57, 31.569999999999997], "center": [10.0, -30.0], "color": [0.7313491733054194, 0.009596966041495847, 0.22409413387198285]}, {"name": "square", "size": [31.57, 31.569999999999997], "center": [0.0, 1.7763568394002505e-15], "color": [0.3201669529682235, 0.6294495524497982, 0.6351530451141708]}, {"name": "square", "size": [43.126000000000005, 43.126000000000005], "center": [-6.661338147750939e-16, 0.0], "color": [0.7313491733054194, 0.009596966041495847, 0.22409413387198285]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [33.132, 24.146], "center": [10.0, -30.0], "color": [0.48311839031303494, 0.4101880589727046, 0.13177887946898403]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_175.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_175.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_175.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_175.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_175.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_175.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_175.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_175.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_175.png", "instructions": [["translate", [10, -30]]], "correct_answer": {"easy": "A", "medium": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square a little to the right and significantly downward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "A", "medium": "B"}
1steps_easy_no_176
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> 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]]]
easy
{"instance_id": 176, "shape_A": {"name": "ellipse", "facecolor": [0.017040155761460674, 0.4926957288923114, 0.06590045890694718], "edgecolor": "black", "center": [-2.6645352591003756e-16, -2.1649348980190552e-16], "size": [31.650001170808405, 23.987310881670133]}, "shape_B": {"name": "square", "facecolor": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.61709775977363, 34.61709775977363]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_176.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_176.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_176.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_176.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_176.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_176.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_176.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [34.617999999999995, 34.618], "center": [0.0, 0.0], "color": [0.18533237116102985, 0.7161525201921216, 0.8001595737819055]}, {"name": "square", "size": [47.288, 47.288], "center": [2.220446049250313e-16, 0.0], "color": [0.47759640616824073, 0.5503036958436363, 0.49498751615061753]}, {"name": "square", "size": [34.617999999999995, 34.618], "center": [30.0, 0.0], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}, {"name": "square", "size": [23.644, 23.644], "center": [2.220446049250313e-16, 0.0], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}], "medium": [{"name": "square", "size": [47.290000000000006, 47.290000000000006], "center": [8.881784197001252e-16, 8.881784197001252e-16], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}, {"name": "square", "size": [23.644, 23.644], "center": [-0.00024999999999986144, 0.0], "color": [0.5811216303618606, 0.7862881396981135, 0.23678601845539038]}, {"name": "square", "size": [34.617999999999995, 34.618], "center": [0.0, 0.0], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}, {"name": "square", "size": [34.617999999999995, 34.618], "center": [30.0, 0.0], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}], "hard": [{"name": "square", "size": [47.288, 47.288], "center": [2.220446049250313e-16, 0.0], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}, {"name": "square", "size": [23.644, 23.644], "center": [0.0, 0.00024999999999986144], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}, {"name": "square", "size": [34.617999999999995, 34.618], "center": [0.0, 0.0], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}, {"name": "square", "size": [34.617999999999995, 34.618], "center": [30.0, 0.0], "color": [0.17197016382502195, 0.21491756841653065, 0.23620219101342144]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.650000000000002, 23.988], "center": [29.999999999999993, 1.1102230246251565e-16], "color": [0.017040155761460674, 0.4926957288923114, 0.06590045890694718]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_176.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_176.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_176.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_176.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_176.png", "instructions": [["translate", [30, 0]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "D"}, "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\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"}
1steps_easy_no_177
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.
B
[['scale', 0.5]]
easy
{"instance_id": 177, "shape_A": {"name": "rectangle", "facecolor": [0.27099049391198593, 0.46948680732675996, 0.8982127561439461], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.912874694321033, 22.861241081809442]}, "shape_B": {"name": "circle", "facecolor": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343], "edgecolor": "black", "center": [-3.552713678800501e-16, 8.437694987151189e-16], "size": [62.65178549669992, 62.65178549669992]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_177.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_177.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_177.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_177.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_177.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_177.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_177.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [88.732, 94.65], "center": [3.597122599785507e-15, 8.881784197001252e-16], "color": [0.4838185676984732, 0.9916940019007807, 0.5309580219000062]}, {"name": "circle", "size": [31.326, 31.326], "center": [-4.4408920985006264e-17, -2.6645352591003756e-16], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}, {"name": "circle", "size": [65.114, 62.652], "center": [1.4210854715202005e-15, -1.2656542480726785e-15], "color": [0.9989923911656818, 0.3862369031105952, 0.291521160267571]}, {"name": "circle", "size": [100.0, 96.5339927775161], "center": [8.881784197001252e-16, -6.394884621840902e-15], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}], "medium": [{"name": "circle", "size": [88.412, 85.56], "center": [-1.7763568394002506e-16, 2.6645352591003756e-16], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}, {"name": "circle", "size": [31.326, 31.326], "center": [-4.4408920985006264e-17, -2.6645352591003756e-16], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}, {"name": "circle", "size": [76.83, 78.824], "center": [2.6645352591003757e-15, 5.204170427930421e-16], "color": [0.4728561616711566, 0.9492423240601972, 0.8691549282948883]}, {"name": "circle", "size": [44.95, 52.27], "center": [-1.5099033134902129e-15, 1.554312234475219e-16], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}], "hard": [{"name": "circle", "size": [71.904, 73.464], "center": [8.881784197001252e-16, -8.881784197001252e-16], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}, {"name": "circle", "size": [31.326, 31.326], "center": [-4.4408920985006264e-17, -2.6645352591003756e-16], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}, {"name": "circle", "size": [18.99946828035643, 31.326], "center": [-6.217248937900876e-16, -1.9984014443252818e-15], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}, {"name": "circle", "size": [62.652, 62.651999999999994], "center": [1.0658141036401502e-15, 3.552713678800501e-16], "color": [0.10153187782713002, 0.1553539727384704, 0.4262767732081343]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [15.956, 11.43], "center": [0.0, 0.0], "color": [0.27099049391198593, 0.46948680732675996, 0.8982127561439461]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_177.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_177.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_177.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_177.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_177.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - 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": "B", "hard": "B"}
1steps_easy_no_179
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> 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]]]
easy
{"instance_id": 179, "shape_A": {"name": "circle", "facecolor": [0.7072280945868386, 0.34221980067969193, 0.5813685240826504], "edgecolor": "black", "center": [-1.4210854715202005e-15, -8.881784197001252e-16], "size": [68.99719601027375, 68.99719601027375]}, "shape_B": {"name": "rectangle", "facecolor": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.64120639982034, 21.060104150303538]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_179.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_179.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_179.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_179.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_179.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_179.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_179.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [34.641999999999996, 21.060000000000002], "center": [0.0, -8.881784197001252e-16], "color": [0.9385972432667943, 0.7869435271085887, 0.9262863390078735]}, {"name": "rectangle", "size": [34.641999999999996, 21.060000000000002], "center": [30.0, -10.0], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}, {"name": "rectangle", "size": [21.052, 14.4], "center": [0.0, -2.220446049250313e-16], "color": [0.24010433743766346, 0.7270300191815288, 0.878533748086642]}, {"name": "rectangle", "size": [43.812, 30.664], "center": [-3.885780586188048e-16, 0.0], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}], "medium": [{"name": "rectangle", "size": [40.53, 35.56], "center": [0.0, 0.0], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}, {"name": "rectangle", "size": [34.641999999999996, 21.060000000000002], "center": [0.0, -8.881784197001252e-16], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}, {"name": "rectangle", "size": [21.060000000000002, 34.641999999999996], "center": [0.0, -1.7763568394002505e-15], "color": [0.3876160618083553, 0.10598799269096215, 0.13047320302635856]}, {"name": "rectangle", "size": [34.641999999999996, 21.060000000000002], "center": [30.0, -10.0], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}], "hard": [{"name": "rectangle", "size": [34.641999999999996, 21.060000000000002], "center": [0.0, -8.881784197001252e-16], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}, {"name": "rectangle", "size": [10.53, 17.32], "center": [0.0, 0.0], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}, {"name": "rectangle", "size": [34.641999999999996, 21.060000000000002], "center": [30.0, -10.0], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}, {"name": "rectangle", "size": [22.828, 27.308], "center": [4.440892098500626e-16, 0.0], "color": [0.2606743120288252, 0.10092848576575397, 0.18254263039405572]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [68.99799999999999, 68.998], "center": [30.0, -10.000000000000002], "color": [0.7072280945868386, 0.34221980067969193, 0.5813685240826504]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_179.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_179.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_179.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_179.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_179.png", "instructions": [["translate", [30, -10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "C"}
1steps_easy_no_180
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.
C
[['scale', 0.5]]
easy
{"instance_id": 180, "shape_A": {"name": "hexagon", "facecolor": [0.002928429232830654, 0.16197697610354256, 0.13876592400039833], "edgecolor": "black", "center": [5.921189464667501e-16, -5.921189464667501e-16], "size": [66.02596732400596, 57.180165012030415]}, "shape_B": {"name": "circle", "facecolor": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883], "edgecolor": "black", "center": [-9.769962616701378e-16, -1.2212453270876722e-15], "size": [61.287862767647354, 61.287862767647354]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_180.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_180.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_180.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_180.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_180.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_180.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_180.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [100.0, 84.69582758254592], "center": [-6.4059868520871536e-15, 2.3092638912203257e-15], "color": [0.09252830753692098, 0.9068609150160125, 0.24395505739141277]}, {"name": "circle", "size": [61.288, 61.288], "center": [3.552713678800501e-16, -2.220446049250313e-15], "color": [0.42332511836359843, 0.9045505813371446, 0.18406420210189833]}, {"name": "circle", "size": [30.644, 30.644], "center": [3.552713678800501e-16, -7.882583474838611e-16], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}, {"name": "circle", "size": [79.132, 72.07900000000001], "center": [-5.0000000001304555e-05, 0.0004499999999992621], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}], "medium": [{"name": "circle", "size": [30.644, 30.644], "center": [3.552713678800501e-16, -7.882583474838611e-16], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}, {"name": "circle", "size": [46.468, 35.744], "center": [-7.993605777301127e-16, -3.108624468950438e-16], "color": [0.33790564655126154, 0.9030781821824323, 0.7518103578011056]}, {"name": "circle", "size": [61.288, 61.288000000000004], "center": [9.769962616701378e-16, 7.105427357601002e-16], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}, {"name": "circle", "size": [74.402, 72.154], "center": [-2.6645352591003756e-16, 0.0], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}], "hard": [{"name": "circle", "size": [30.644, 30.644], "center": [3.552713678800501e-16, -7.882583474838611e-16], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}, {"name": "circle", "size": [67.12100000000001, 70.134], "center": [0.0004499999999978854, -1.3544720900426909e-15], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}, {"name": "circle", "size": [73.37799999999999, 82.20599999999999], "center": [1.9539925233402757e-15, -1.7763568394002505e-15], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}, {"name": "circle", "size": [61.288, 61.288], "center": [3.552713678800501e-16, 6.883382752675971e-16], "color": [0.9405614753409477, 0.3440057607915026, 0.43947374187644883]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [33.012, 28.59], "center": [0.0, 0.0], "color": [0.002928429232830654, 0.16197697610354256, 0.13876592400039833]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_180.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_180.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_180.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_180.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_180.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "A", "hard": "A"}, "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": "C", "medium": "A", "hard": "A"}
1steps_easy_no_181
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Reduce the size of the rectangle, 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.
C
[['scale', 0.5]]
easy
{"instance_id": 181, "shape_A": {"name": "ellipse", "facecolor": [0.6673030009239054, 0.6875077278203522, 0.2406913747975281], "edgecolor": "black", "center": [2.6645352591003756e-16, -3.608224830031759e-16], "size": [33.366985919491036, 21.95643124596915]}, "shape_B": {"name": "rectangle", "facecolor": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.61947809864208, 21.237063206102626]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_181.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_181.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_181.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_181.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_181.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_181.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_181.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [21.238, 33.620000000000005], "center": [0.0, 0.0], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}, {"name": "rectangle", "size": [35.202, 39.734], "center": [0.0, 0.0], "color": [0.6137519397829713, 0.024289600534392553, 0.04729988166717036]}, {"name": "rectangle", "size": [16.81, 10.618], "center": [0.0, 0.0], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}, {"name": "rectangle", "size": [33.620000000000005, 21.238], "center": [0.0, 0.0], "color": [0.3742935120422184, 0.2472970957194689, 0.057193338393634496]}], "medium": [{"name": "rectangle", "size": [16.81, 10.618], "center": [0.0, 0.0], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}, {"name": "rectangle", "size": [21.238, 33.620000000000005], "center": [0.0, 0.0], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}, {"name": "rectangle", "size": [39.734, 35.202], "center": [8.881784197001252e-16, 0.0], "color": [0.6590907287024625, 0.9886039973852109, 0.5191408254284487]}, {"name": "rectangle", "size": [33.620000000000005, 21.238], "center": [0.0, 0.0], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}], "hard": [{"name": "rectangle", "size": [23.808, 24.7], "center": [0.0, 0.00024999999999980593], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}, {"name": "rectangle", "size": [16.81, 10.618], "center": [0.0, 0.0], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}, {"name": "rectangle", "size": [39.734, 35.202], "center": [0.0, -8.326672684688674e-17], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}, {"name": "rectangle", "size": [6.707468292682927, 10.618], "center": [0.0, 0.0], "color": [0.8662974688762594, 0.8294019171297952, 0.3580783118335559]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [16.684, 10.978], "center": [1.7763568394002506e-16, -5.551115123125783e-18], "color": [0.6673030009239054, 0.6875077278203522, 0.2406913747975281]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_181.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_181.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_181.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_181.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_181.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n\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": "B"}
1steps_easy_no_182
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.
D
[['scale', 0.5]]
easy
{"instance_id": 182, "shape_A": {"name": "circle", "facecolor": [0.4012785642225538, 0.33476540841004565, 0.7354277990828911], "edgecolor": "black", "center": [-8.881784197001252e-16, -1.5099033134902129e-15], "size": [60.865662398316516, 60.865662398316516]}, "shape_B": {"name": "triangle", "facecolor": [0.35326261063653774, 0.452937369152572, 0.438886979304856], "edgecolor": "black", "center": [0.0, 0.0], "size": [46.4388305584487, 53.38234635918195]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_182.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_182.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_182.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_182.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_182.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_182.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_182.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [46.43899999999999, 53.382000000000005], "center": [1.9065000000000012, -2.710000000000001], "color": [0.9611088421578173, 0.12133487860642844, 0.3419025651737019]}, {"name": "triangle", "size": [72.039, 45.247], "center": [8.468166666666667, -4.5071666666666665], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}, {"name": "triangle", "size": [60.7, 32.566], "center": [2.981333333333334, 4.884666666666667], "color": [0.7568733055225172, 0.7194442945064689, 0.9689245499409718]}, {"name": "triangle", "size": [23.219, 26.692], "center": [0.0, 0.0], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}], "medium": [{"name": "triangle", "size": [23.219, 26.692], "center": [0.0, 0.0], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}, {"name": "triangle", "size": [32.566, 60.7], "center": [-4.884666666666666, -2.981333333333334], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}, {"name": "triangle", "size": [38.907000000000004, 51.753], "center": [4.1025, 7.8735], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}, {"name": "triangle", "size": [30.35, 16.283], "center": [1.490666666666667, 2.4425], "color": [0.5737929633063489, 0.01007560608550373, 0.5718803586945909]}], "hard": [{"name": "triangle", "size": [23.219, 26.692], "center": [0.0, 0.0], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}, {"name": "triangle", "size": [46.439, 53.382000000000005], "center": [1.9065, -2.710000000000002], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}, {"name": "triangle", "size": [66.811, 52.518], "center": [-2.2344999999999993, 6.720999999999999], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}, {"name": "triangle", "size": [23.219, 12.457165634266886], "center": [1.140293887973641, 1.8684855903349806], "color": [0.35326261063653774, 0.452937369152572, 0.438886979304856]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [30.432, 30.432], "center": [-4.884981308350689e-16, 4.440892098500626e-16], "color": [0.4012785642225538, 0.33476540841004565, 0.7354277990828911]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_182.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_182.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_182.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_182.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_182.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "A", "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": "A", "hard": "A"}
1steps_easy_no_183
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
easy
{"instance_id": 183, "shape_A": {"name": "hexagon", "facecolor": [0.8226575620418237, 0.48129297123478576, 0.6841108914338514], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [60.02665805355485, 51.98461077866027]}, "shape_B": {"name": "rectangle", "facecolor": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.73796466138624, 23.77519948958323]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_183.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_183.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_183.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_183.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_183.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_183.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_183.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [34.738, 23.776], "center": [0.0, 0.0], "color": [0.37354431252818077, 0.6758243843657252, 0.9529411811476017]}, {"name": "rectangle", "size": [52.59, 55.788], "center": [8.881784197001252e-16, 4.440892098500626e-16], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}, {"name": "rectangle", "size": [23.776, 34.738], "center": [0.0, 0.0], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}, {"name": "rectangle", "size": [37.914, 42.214], "center": [-5.551115123125783e-17, 0.0], "color": [0.460208818113903, 0.09264290640072026, 0.11108382421039587]}], "medium": [{"name": "rectangle", "size": [23.776, 34.738], "center": [0.0, 0.0], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}, {"name": "rectangle", "size": [17.368, 11.888], "center": [0.0, 0.0], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}, {"name": "rectangle", "size": [23.776000000000003, 21.503310778614313], "center": [2.6645352591003757e-15, 1.6653345369377348e-16], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}, {"name": "rectangle", "size": [34.738, 23.776], "center": [0.0, 0.0], "color": [0.0028572492625017487, 0.06393030432942715, 0.9843830241161613]}], "hard": [{"name": "rectangle", "size": [34.738, 23.776000000000003], "center": [0.0, 8.881784197001252e-16], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}, {"name": "rectangle", "size": [23.776, 34.738], "center": [0.0, 0.0], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}, {"name": "rectangle", "size": [37.96, 41.971999999999994], "center": [0.0, 8.881784197001252e-16], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}, {"name": "rectangle", "size": [23.776, 16.274129894058035], "center": [0.0, 0.0], "color": [0.0780808438087296, 0.06155687221013295, 0.6729776012344789]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [51.984, 60.026], "center": [0.0, 5.921189464667501e-16], "color": [0.8226575620418237, 0.48129297123478576, 0.6841108914338514]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_183.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_183.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_183.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_183.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_183.png", "instructions": [["rotate", 90]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n\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": "B"}
1steps_easy_no_184
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Rotate the ellipse by 60 degrees counter-clockwise around its center. <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
[['rotate', 60]]
easy
{"instance_id": 184, "shape_A": {"name": "square", "facecolor": [0.36702813067573803, 0.686921804161307, 0.5727057334077176], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.49419857382874, 33.49419857382874]}, "shape_B": {"name": "ellipse", "facecolor": [0.3703460581424567, 0.8969785970113665, 0.3018045549482766], "edgecolor": "black", "center": [-4.440892098500626e-16, 3.8302694349567903e-16], "size": [30.18229169690519, 20.31486118338233]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_184.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_184.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_184.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_184.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_184.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_184.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_184.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [30.182, 20.314], "center": [-2.6645352591003756e-16, 3.3306690738754696e-16], "color": [0.3703460581424567, 0.8969785970113665, 0.3018045549482766]}, {"name": "ellipse", "size": [36.318, 33.763999999999996], "center": [3.552713678800501e-16, 6.217248937900876e-16], "color": [0.2614115205411933, 0.5523478085807648, 0.7028565587474492]}, {"name": "ellipse", "size": [15.092, 10.158], "center": [6.661338147750939e-17, 9.992007221626409e-17], "color": [0.5864863557827682, 0.4092142299045092, 0.46806593201694247]}, {"name": "ellipse", "size": [23.112, 27.998], "center": [8.881784197001253e-17, -2.6645352591003756e-16], "color": [0.3703460581424567, 0.8969785970113665, 0.3018045549482766]}], "medium": [{"name": "ellipse", "size": [34.706, 35.754], "center": [-1.7763568394002506e-16, 3.108624468950438e-16], "color": [0.3703460581424567, 0.8969785970113665, 0.3018045549482766]}, {"name": "ellipse", "size": [23.112, 27.998], "center": [8.881784197001253e-17, -2.6645352591003756e-16], "color": [0.3703460581424567, 0.8969785970113665, 0.3018045549482766]}, {"name": "ellipse", "size": [15.091, 10.156], "center": [0.00032499999999884287, 0.00014999999999998348], "color": [0.3703460581424567, 0.8969785970113665, 0.3018045549482766]}, {"name": "ellipse", "size": [30.182000000000002, 20.314], "center": [6.217248937900876e-16, 3.552713678800501e-16], "color": [0.9696757794007931, 0.6728252482064341, 0.3376168886660833]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [45.754, 45.754], "center": [0.0, -2.220446049250313e-16], "color": [0.36702813067573803, 0.686921804161307, 0.5727057334077176]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_184.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_184.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_184.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_184.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_184.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_184.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_184.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_184.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_184.png", "instructions": [["rotate", 60]], "correct_answer": {"easy": "D", "medium": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 60 degrees counter-clockwise around its center. <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"}
1steps_easy_no_185
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon a little to the right 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.
C
[['translate', [10, -10]]]
easy
{"instance_id": 185, "shape_A": {"name": "pentagon", "facecolor": [0.5489118231171608, 0.9609808336683849, 0.9153020391644779], "edgecolor": "black", "center": [-7.105427357601002e-16, 0.0], "size": [61.14080194252753, 64.28724360220136]}, "shape_B": {"name": "hexagon", "facecolor": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.09598038835672, 56.37477270057053]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_185.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_185.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_185.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_185.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_185.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_185.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_185.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [56.373999999999995, 65.096], "center": [-1.1842378929335002e-15, 0.0], "color": [0.5069938448395903, 0.102587381694624, 0.6873735310374675]}, {"name": "hexagon", "size": [32.548, 28.188], "center": [0.0, 0.0], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}, {"name": "hexagon", "size": [65.096, 56.373999999999995], "center": [10.0, -9.999999999999998], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}, {"name": "hexagon", "size": [65.096, 56.373999999999995], "center": [0.0, 0.0], "color": [0.3022659224645814, 0.9966070830252156, 0.2725959290937259]}], "medium": [{"name": "hexagon", "size": [65.096, 56.373999999999995], "center": [0.0, 0.0], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}, {"name": "hexagon", "size": [48.822364262013025, 56.373999999999995], "center": [-1.1842378929335002e-15, 0.0], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}, {"name": "hexagon", "size": [65.096, 68.556], "center": [-1.1842378929335002e-15, 0.0], "color": [0.2989903607418434, 0.947890398918576, 0.0041740678047131885]}, {"name": "hexagon", "size": [65.096, 56.373999999999995], "center": [10.0, -9.999999999999998], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}], "hard": [{"name": "hexagon", "size": [65.096, 56.373999999999995], "center": [10.0, -9.999999999999998], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}, {"name": "hexagon", "size": [65.096, 56.373999999999995], "center": [0.0, 0.0], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}, {"name": "hexagon", "size": [56.373999999999995, 65.096], "center": [-1.1842378929335002e-15, 0.0], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}, {"name": "hexagon", "size": [48.82236426201302, 56.373999999999995], "center": [0.0, 0.0], "color": [0.48707776298446115, 0.30577806057798085, 0.20331789336916906]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [61.141000000000005, 64.288], "center": [10.0, -10.0], "color": [0.5489118231171608, 0.9609808336683849, 0.9153020391644779]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_185.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_185.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_185.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_185.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_185.png", "instructions": [["translate", [10, -10]]], "correct_answer": {"easy": "C", "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 right 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": "C", "medium": "D", "hard": "A"}
1steps_easy_no_187
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle to the right 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]]]
easy
{"instance_id": 187, "shape_A": {"name": "square", "facecolor": [0.3135423216140182, 0.9004501239498615, 0.7899479952553914], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.99552604961046, 34.99552604961046]}, "shape_B": {"name": "rectangle", "facecolor": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.344035708395396, 23.41861695148757]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_187.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_187.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_187.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_187.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_187.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_187.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_187.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.343999999999998, 23.418], "center": [-1.7763568394002505e-15, 0.0], "color": [0.6608972094876628, 0.40697683775029747, 0.7720641787706698]}, {"name": "rectangle", "size": [15.172, 11.71], "center": [0.0, 0.0], "color": [0.06223672059900931, 0.13970413298259532, 0.8016295895401717]}, {"name": "rectangle", "size": [30.343999999999998, 23.418], "center": [30.0, 10.0], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}, {"name": "rectangle", "size": [37.988, 35.454], "center": [0.0, 0.0], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}], "medium": [{"name": "rectangle", "size": [30.343999999999998, 23.418], "center": [30.0, 10.0], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}, {"name": "rectangle", "size": [30.343999999999998, 23.418], "center": [-1.7763568394002505e-15, 0.0], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}, {"name": "rectangle", "size": [35.452, 37.988], "center": [0.0, 8.881784197001252e-16], "color": [0.7372425248128763, 0.5311985681120591, 0.46691351289899563]}, {"name": "rectangle", "size": [18.994, 17.728], "center": [0.0, 0.0002500000000001945], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}], "hard": [{"name": "rectangle", "size": [58.904, 59.756], "center": [-8.881784197001252e-16, 0.0], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}, {"name": "rectangle", "size": [30.343999999999998, 23.418], "center": [-1.7763568394002505e-15, 0.0], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}, {"name": "rectangle", "size": [30.343999999999998, 23.418], "center": [30.0, 10.0], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}, {"name": "rectangle", "size": [15.172, 11.707999999999998], "center": [0.0, 0.0], "color": [0.5004175547059294, 0.9963457808893479, 0.6819008676057247]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [34.995999999999995, 34.996], "center": [29.999999999999996, 10.0], "color": [0.3135423216140182, 0.9004501239498615, 0.7899479952553914]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_187.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_187.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_187.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_187.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_187.png", "instructions": [["translate", [30, 10]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "C"}, "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 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": "A", "hard": "C"}
1steps_easy_no_189
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon 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.
A
[['translate', [30, 30]]]
easy
{"instance_id": 189, "shape_A": {"name": "circle", "facecolor": [0.6298987460426468, 0.3093322071573543, 0.17465620963658135], "edgecolor": "black", "center": [-4.440892098500626e-16, -2.2204460492503132e-17], "size": [63.415436143231936, 63.415436143231936]}, "shape_B": {"name": "hexagon", "facecolor": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413], "edgecolor": "black", "center": [5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.28074388761272, 59.99888419975608]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_189.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_189.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_189.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_189.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_189.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_189.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_189.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [69.28, 59.998000000000005], "center": [30.0, 30.0], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}, {"name": "hexagon", "size": [69.28, 71.542], "center": [-1.1842378929335002e-15, 0.0], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}, {"name": "hexagon", "size": [30.0, 34.64], "center": [0.0, 0.0], "color": [0.859342233144766, 0.5759022625946911, 0.4444493903544938]}, {"name": "hexagon", "size": [69.28, 59.998000000000005], "center": [0.0, 1.1842378929335002e-15], "color": [0.3937252491465061, 0.04742806798638144, 0.4981544215507593]}], "medium": [{"name": "hexagon", "size": [51.959584353348745, 59.998000000000005], "center": [-2.960594732333751e-15, 3.552713678800501e-15], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}, {"name": "hexagon", "size": [69.28, 59.998000000000005], "center": [0.0, 1.1842378929335002e-15], "color": [0.8138184842071579, 0.28429778644586423, 0.38428030182129336]}, {"name": "hexagon", "size": [59.998000000000005, 69.28], "center": [1.1842378929335002e-15, 0.0], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}, {"name": "hexagon", "size": [69.28, 59.998000000000005], "center": [30.0, 30.0], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}], "hard": [{"name": "hexagon", "size": [119.74, 27.497999999999998], "center": [0.0, -5.921189464667501e-16], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}, {"name": "hexagon", "size": [69.28, 59.998000000000005], "center": [0.0, 1.1842378929335002e-15], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}, {"name": "hexagon", "size": [51.95958435334873, 59.998000000000005], "center": [0.0, -1.1842378929335002e-15], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}, {"name": "hexagon", "size": [69.28, 59.998000000000005], "center": [30.0, 30.0], "color": [0.4838610298870877, 0.5304352692324107, 0.2656447090274413]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [63.416, 63.416], "center": [30.0, 30.0], "color": [0.6298987460426468, 0.3093322071573543, 0.17465620963658135]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_189.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_189.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_189.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_189.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_189.png", "instructions": [["translate", [30, 30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "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 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": "D", "hard": "D"}
1steps_easy_no_190
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square to the left by a significant amount and slightly upward. <shapeB_step_0> 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]]]
easy
{"instance_id": 190, "shape_A": {"name": "hexagon", "facecolor": [0.28276847957497, 0.06162128673100131, 0.9517765664151331], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [66.20113560867507, 57.33186519649121]}, "shape_B": {"name": "square", "facecolor": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639], "edgecolor": "black", "center": [0.0, 0.0], "size": [33.81319676611711, 33.81319676611711]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_190.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_190.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_190.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_190.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_190.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_190.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_190.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [23.094, 23.094], "center": [1.1102230246251565e-16, 0.0], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}, {"name": "square", "size": [33.81399999999999, 33.814], "center": [-30.0, 10.0], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}, {"name": "square", "size": [33.81399999999999, 33.814], "center": [1.7763568394002505e-15, 0.0], "color": [0.23975889312173548, 0.4987425364475788, 0.12509245525805845]}, {"name": "square", "size": [46.19, 46.19], "center": [4.440892098500626e-16, 0.0], "color": [0.5551082957977542, 0.322040535743767, 0.28236590691554764]}], "medium": [{"name": "square", "size": [23.094, 23.094], "center": [-1.1102230246251565e-16, 0.0], "color": [0.7798455344377053, 0.7819866263807146, 0.012622260540093078]}, {"name": "square", "size": [46.188, 46.188], "center": [2.220446049250313e-16, 0.0], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}, {"name": "square", "size": [33.81399999999999, 33.814], "center": [1.7763568394002505e-15, 0.0], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}, {"name": "square", "size": [33.81399999999999, 33.814], "center": [-30.0, 10.0], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}], "hard": [{"name": "square", "size": [23.095, 23.095], "center": [0.00024999999999986144, -0.00024999999999986144], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}, {"name": "square", "size": [33.81399999999999, 33.814], "center": [-30.0, 10.0], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}, {"name": "square", "size": [33.81399999999999, 33.814], "center": [1.7763568394002505e-15, 0.0], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}, {"name": "square", "size": [46.19, 46.19], "center": [-2.220446049250313e-16, 0.0], "color": [0.35982763256478856, 0.19465162130748603, 0.9800794408771639]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [66.202, 57.331999999999994], "center": [-30.0, 10.0], "color": [0.28276847957497, 0.06162128673100131, 0.9517765664151331]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_190.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_190.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_190.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_190.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_190.png", "instructions": [["translate", [-30, 10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly upward. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "medium": "D", "hard": "B"}
1steps_easy_no_193
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Rotate the ellipse by 90 degrees counter-clockwise around its center. <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
[['rotate', 90]]
easy
{"instance_id": 193, "shape_A": {"name": "rectangle", "facecolor": [0.8317908937180895, 0.09488444457810019, 0.7474522127140806], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.57130632313917, 22.552776939318328]}, "shape_B": {"name": "ellipse", "facecolor": [0.5870207456892583, 0.744277793335349, 0.5911371253415045], "edgecolor": "black", "center": [-4.440892098500626e-16, -1.942890293094024e-16], "size": [34.47023029779033, 20.016212263143967]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_193.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_193.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_193.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_193.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_193.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_193.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [20.016, 34.47], "center": [9.43689570931383e-17, -1.7763568394002506e-16], "color": [0.5870207456892583, 0.744277793335349, 0.5911371253415045]}, {"name": "ellipse", "size": [17.236, 10.008], "center": [-7.105427357601002e-16, 6.661338147750939e-17], "color": [0.296083640361816, 0.946599639929772, 0.6848226169581606]}, {"name": "ellipse", "size": [34.47, 20.016], "center": [7.105427357601002e-16, -6.217248937900876e-16], "color": [0.5870207456892583, 0.744277793335349, 0.5911371253415045]}, {"name": "ellipse", "size": [39.658, 32.356], "center": [-1.5543122344752192e-15, 6.217248937900876e-16], "color": [0.5754809572400139, 0.2222573074274521, 0.9038454918671739]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [22.552, 34.572], "center": [0.0, 0.0], "color": [0.8317908937180895, 0.09488444457810019, 0.7474522127140806]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_193.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_193.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_193.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_193.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_193.png", "instructions": [["rotate", 90]], "correct_answer": {"easy": "A"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 90 degrees counter-clockwise around its center. <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"}
1steps_easy_no_194
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> 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]]
easy
{"instance_id": 194, "shape_A": {"name": "square", "facecolor": [0.5835478314332566, 0.5647871576438185, 0.02959032121025451], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.315948896747187, 31.315948896747187]}, "shape_B": {"name": "triangle", "facecolor": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475], "edgecolor": "black", "center": [-1.1842378929335002e-15, 0.0], "size": [41.841030503190886, 62.47697311593852]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_194.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_194.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_194.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_194.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_194.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_194.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_194.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [62.477, 41.840999999999994], "center": [-0.5188333333333345, 4.482833333333335], "color": [0.5747019085363975, 0.5608242303758353, 0.11315036994627514]}, {"name": "triangle", "size": [44.605000000000004, 57.843], "center": [-0.8214999999999995, -6.800166666666667], "color": [0.6294587169958894, 0.47109644751940605, 0.3978036973195296]}, {"name": "triangle", "size": [20.92, 31.238], "center": [2.2413333333333334, -0.2593333333333329], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}, {"name": "triangle", "size": [44.605000000000004, 57.843], "center": [-9.62193288008469e-16, 0.00033333333333492493], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}], "medium": [{"name": "triangle", "size": [44.605000000000004, 57.843], "center": [-0.8214999999999995, -6.800166666666667], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}, {"name": "triangle", "size": [57.842999999999996, 44.605000000000004], "center": [-6.800166666666669, 0.8215000000000003], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}, {"name": "triangle", "size": [20.92, 31.238], "center": [2.2413333333333334, -0.2593333333333329], "color": [0.8573959553504996, 0.5661942371025119, 0.36913456265291]}, {"name": "triangle", "size": [44.605000000000004, 57.843], "center": [-9.62193288008469e-16, 0.00033333333333492493], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}], "hard": [{"name": "triangle", "size": [44.605000000000004, 29.872077804632102], "center": [0.37041728689491055, 3.2004862722815326], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}, {"name": "triangle", "size": [57.843, 44.605000000000004], "center": [-6.800166666666667, 0.8215000000000003], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}, {"name": "triangle", "size": [44.605000000000004, 57.843], "center": [-9.62193288008469e-16, 0.00033333333333492493], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}, {"name": "triangle", "size": [44.605000000000004, 57.843], "center": [-0.8214999999999995, -6.800166666666667], "color": [0.13060421793751065, 0.9973361153825273, 0.16367478213930475]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [42.778, 42.778], "center": [0.0, 4.440892098500626e-16], "color": [0.5835478314332566, 0.5647871576438185, 0.02959032121025451]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_194.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_194.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_194.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_194.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_194.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "D", "hard": "C"}, "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\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": "C"}
1steps_easy_no_197
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0> 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]]
easy
{"instance_id": 197, "shape_A": {"name": "triangle", "facecolor": [0.9441172528521385, 0.9505269914571977, 0.9122250388355344], "edgecolor": "black", "center": [0.0, 1.1842378929335002e-15], "size": [25.054444531140017, 58.809249024548656]}, "shape_B": {"name": "rectangle", "facecolor": [0.441229332911383, 0.18969229971523605, 0.7675400889528039], "edgecolor": "black", "center": [0.0, 0.0], "size": [34.302865683284196, 20.440859167505934]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_197.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_197.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_197.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_197.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_197.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_197.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_197.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [20.442, 34.304], "center": [4.440892098500626e-16, 8.881784197001252e-16], "color": [0.5486375175056257, 0.13214914556546886, 0.8522248541241655]}, {"name": "rectangle", "size": [17.151, 10.22], "center": [-1.7763568394002505e-15, 0.0], "color": [0.441229332911383, 0.18969229971523605, 0.7675400889528039]}, {"name": "rectangle", "size": [34.854, 39.928], "center": [0.0, 0.0], "color": [0.441229332911383, 0.18969229971523605, 0.7675400889528039]}, {"name": "rectangle", "size": [42.212, 30.234], "center": [0.0, -4.440892098500626e-16], "color": [0.44791287582541317, 0.7587188980196563, 0.35833723892979663]}], "hard": [{"name": "rectangle", "size": [17.152, 10.22], "center": [0.0, 0.0], "color": [0.441229332911383, 0.18969229971523605, 0.7675400889528039]}, {"name": "rectangle", "size": [34.854, 20.768927759314323], "center": [1.7763568394002505e-15, 0.0], "color": [0.441229332911383, 0.18969229971523605, 0.7675400889528039]}, {"name": "rectangle", "size": [21.82763272597356, 39.928], "center": [0.0, 0.0], "color": [0.441229332911383, 0.18969229971523605, 0.7675400889528039]}, {"name": "rectangle", "size": [34.854, 39.928], "center": [0.0, 0.0], "color": [0.441229332911383, 0.18969229971523605, 0.7675400889528039]}]}, "transformed_A_sequence_info": [{"name": "triangle", "size": [43.15, 49.019999999999996], "center": [0.0, 1.1842378929335002e-15], "color": [0.9441172528521385, 0.9505269914571977, 0.9122250388355344]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_197.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_197.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_197.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_197.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_197.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_197.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_197.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_197.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_197.png", "instructions": [["rotate", 60]], "correct_answer": {"easy": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "C", "hard": "D"}
1steps_easy_no_198
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Rotate the rectangle by 30 degrees counter-clockwise around its center. <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
[['rotate', 30]]
easy
{"instance_id": 198, "shape_A": {"name": "ellipse", "facecolor": [0.786215385290526, 0.7352751044788416, 0.9739090150769829], "edgecolor": "black", "center": [8.881784197001253e-17, 4.4408920985006264e-17], "size": [31.109182554502983, 22.454938455225772]}, "shape_B": {"name": "rectangle", "facecolor": [0.061025650479203275, 0.7494625771619355, 0.978989116299802], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.71074831972102, 24.761991468811708]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_198.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_198.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_198.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_198.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_198.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_198.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_198.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [48.352000000000004, 50.69799999999999], "center": [0.0, -8.881784197001252e-16], "color": [0.8257844582366599, 0.2974434756591331, 0.24742981652128493]}, {"name": "rectangle", "size": [30.71, 24.762], "center": [0.0, 0.0], "color": [0.03622538480058879, 0.925219496725798, 0.7499341035258628]}, {"name": "rectangle", "size": [19.488, 18.4], "center": [0.0, -5.551115123125783e-17], "color": [0.061025650479203275, 0.7494625771619355, 0.978989116299802]}, {"name": "rectangle", "size": [38.978, 36.8], "center": [0.0, -4.440892098500626e-16], "color": [0.061025650479203275, 0.7494625771619355, 0.978989116299802]}], "medium": [{"name": "rectangle", "size": [66.494, 17.608], "center": [0.0, 0.0], "color": [0.061025650479203275, 0.7494625771619355, 0.978989116299802]}, {"name": "rectangle", "size": [24.762, 30.71], "center": [0.0, 0.0], "color": [0.19847857234658284, 0.28181127067049616, 0.28429048443821214]}, {"name": "rectangle", "size": [15.356, 12.38], "center": [0.0, 0.0], "color": [0.061025650479203275, 0.7494625771619355, 0.978989116299802]}, {"name": "rectangle", "size": [38.978, 36.8], "center": [0.0, -4.440892098500626e-16], "color": [0.061025650479203275, 0.7494625771619355, 0.978989116299802]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [29.102, 24.876], "center": [0.0, 1.9984014443252818e-16], "color": [0.786215385290526, 0.7352751044788416, 0.9739090150769829]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_198.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_198.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_198.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_198.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_198.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_198.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_198.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_198.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_198.png", "instructions": [["rotate", 30]], "correct_answer": {"easy": "D", "medium": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees counter-clockwise around its center. <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": "D"}
1steps_easy_no_199
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon 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', [0, -10]]]
easy
{"instance_id": 199, "shape_A": {"name": "square", "facecolor": [0.6452359347151149, 0.930214833766864, 0.8703351915873018], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.794998113948367, 30.794998113948367]}, "shape_B": {"name": "hexagon", "facecolor": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [65.04458101658486, 56.33025953887753]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_199.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_199.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_199.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_199.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_199.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_199.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_199.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [65.044, 56.33], "center": [1.1842378929335002e-15, -10.0], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}, {"name": "hexagon", "size": [56.330000000000005, 65.044], "center": [2.3684757858670005e-15, -1.1842378929335002e-15], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}, {"name": "hexagon", "size": [28.164, 32.522], "center": [0.0, 0.00033333333333344467], "color": [0.20121002849353609, 0.6632877965668731, 0.18931809534992916]}, {"name": "hexagon", "size": [65.044, 56.33], "center": [1.1842378929335002e-15, 0.0], "color": [0.7067541228283989, 0.1279695251381422, 0.5812266842617391]}], "medium": [{"name": "hexagon", "size": [28.164, 32.522], "center": [0.0, 0.0003333333333331486], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}, {"name": "hexagon", "size": [65.044, 56.33], "center": [1.1842378929335002e-15, -10.0], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}, {"name": "hexagon", "size": [65.044, 56.33], "center": [1.1842378929335002e-15, 0.0], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}, {"name": "hexagon", "size": [56.33, 65.044], "center": [0.0, 1.1842378929335002e-15], "color": [0.27353170172768004, 0.11724308766697533, 0.3024768260560252]}], "hard": [{"name": "hexagon", "size": [46.63741401695476, 56.33], "center": [-3.552713678800501e-15, 0.0], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}, {"name": "hexagon", "size": [65.044, 56.33], "center": [1.1842378929335002e-15, 0.0], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}, {"name": "hexagon", "size": [65.044, 56.33], "center": [1.1842378929335002e-15, -10.0], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}, {"name": "hexagon", "size": [82.724, 85.006], "center": [-1.7763568394002505e-15, 1.1842378929335002e-15], "color": [0.6584050954674489, 0.8068678552082778, 0.6135870713813832]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [30.794, 30.793999999999997], "center": [0.0, -10.0], "color": [0.6452359347151149, 0.930214833766864, 0.8703351915873018]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_199.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_199.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_199.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_199.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_199.png", "instructions": [["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon 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": "B", "hard": "C"}
1steps_easy_no_200
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left and significantly downward. <shapeB_step_0> 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]]]
easy
{"instance_id": 200, "shape_A": {"name": "pentagon", "facecolor": [0.8704051642558375, 0.9074702075306942, 0.12441006775783325], "edgecolor": "black", "center": [-3.552713678800501e-16, 1.4210854715202005e-15], "size": [58.61233959613834, 61.62866095956427]}, "shape_B": {"name": "circle", "facecolor": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384], "edgecolor": "black", "center": [5.329070518200751e-16, 5.329070518200751e-16], "size": [68.88247977965226, 68.88247977965226]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_200.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_200.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_200.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_200.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_200.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_200.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_200.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [41.507000000000005, 43.02], "center": [-0.00012499999999988632, -4.999999999943938e-05], "color": [0.37207493356879107, 0.19741119144747743, 0.765586152571412]}, {"name": "circle", "size": [34.44, 34.44], "center": [-0.00010000000000038866, 7.993605777301127e-16], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}, {"name": "circle", "size": [68.882, 68.882], "center": [-10.000000000000002, -30.0], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}, {"name": "circle", "size": [68.882, 68.882], "center": [1.5987211554602255e-15, 1.0658141036401502e-15], "color": [0.7431979291422867, 0.38637879233186834, 0.6927182577104781]}], "medium": [{"name": "circle", "size": [34.441, 34.44], "center": [-0.000525000000002418, 0.00010000000000092158], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}, {"name": "circle", "size": [68.882, 68.882], "center": [-10.000000000000002, -30.0], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}, {"name": "circle", "size": [68.882, 68.882], "center": [1.5987211554602255e-15, 1.0658141036401502e-15], "color": [0.40952554902266314, 0.5374815688133827, 0.8138244911676604]}, {"name": "circle", "size": [43.473, 39.534], "center": [-0.00029999999999894553, 2.499999999852065e-05], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}], "hard": [{"name": "circle", "size": [68.882, 68.882], "center": [-10.000000000000002, -30.0], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}, {"name": "circle", "size": [68.882, 68.882], "center": [1.5987211554602255e-15, 1.0658141036401502e-15], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}, {"name": "circle", "size": [79.816, 74.958], "center": [-1.2434497875801752e-15, -4.529709940470638e-15], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}, {"name": "circle", "size": [68.882, 23.87232177854684], "center": [1.865174681370263e-15, 7.993605777301127e-16], "color": [0.22341505761891312, 0.5076366399883064, 0.6080217405281384]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [58.612, 61.628], "center": [-10.000000000000002, -30.0], "color": [0.8704051642558375, 0.9074702075306942, 0.12441006775783325]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_200.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_200.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_200.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_200.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_200.png", "instructions": [["translate", [-10, -30]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the 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": "C", "medium": "B", "hard": "A"}
1steps_easy_no_201
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse 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.
D
[['translate', [-10, -30]]]
easy
{"instance_id": 201, "shape_A": {"name": "hexagon", "facecolor": [0.9412150073110874, 0.703469260854941, 0.7807366245238451], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.10027551318264, 52.91439077264444]}, "shape_B": {"name": "ellipse", "facecolor": [0.34197026867773483, 0.40888121220810303, 0.6781015098600371], "edgecolor": "black", "center": [4.4408920985006264e-17, 1.1102230246251566e-17], "size": [31.99875228452043, 24.70712589575944]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_201.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_201.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_201.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_201.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_201.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_201.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_201.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [31.997999999999998, 24.708], "center": [0.0, 5.329070518200751e-16], "color": [0.4998691228812787, 0.8148050213638212, 0.25986030728064535]}, {"name": "ellipse", "size": [24.708, 31.998000000000005], "center": [-3.552713678800501e-16, -1.4210854715202005e-15], "color": [0.47592922723901976, 0.25210568605903017, 0.3248525529913435]}, {"name": "ellipse", "size": [13.356, 15.15], "center": [7.500000000022488e-05, -0.00022500000000027497], "color": [0.34197026867773483, 0.40888121220810303, 0.6781015098600371]}, {"name": "ellipse", "size": [31.997999999999998, 24.708], "center": [-10.0, -29.999999999999993], "color": [0.34197026867773483, 0.40888121220810303, 0.6781015098600371]}], "medium": [{"name": "ellipse", "size": [19.077664499999997, 24.708], "center": [-0.00046327500000049036, -7.721250000090052e-05], "color": [0.34197026867773483, 0.40888121220810303, 0.6781015098600371]}, {"name": "ellipse", "size": [31.997999999999998, 24.708], "center": [-10.0, -29.999999999999993], "color": [0.34197026867773483, 0.40888121220810303, 0.6781015098600371]}, {"name": "ellipse", "size": [12.354, 16.0], "center": [-0.0002999999999998393, -2.2204460492503132e-17], "color": [0.8181233580091279, 0.8503454924746856, 0.22407794315005336]}, {"name": "ellipse", "size": [31.997999999999998, 24.708], "center": [0.0, 5.329070518200751e-16], "color": [0.34197026867773483, 0.40888121220810303, 0.6781015098600371]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.099999999999994, 52.914], "center": [-9.999999999999998, -30.0], "color": [0.9412150073110874, 0.703469260854941, 0.7807366245238451]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_201.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_201.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_201.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_201.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_201.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_201.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_201.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_201.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_201.png", "instructions": [["translate", [-10, -30]]], "correct_answer": {"easy": "D", "medium": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the left and significantly 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": "D", "medium": "B"}
1steps_easy_no_203
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> 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]]
easy
{"instance_id": 203, "shape_A": {"name": "ellipse", "facecolor": [0.29639955765745096, 0.05869552367203623, 0.8487475617830732], "edgecolor": "black", "center": [9.769962616701378e-16, -5.995204332975846e-16], "size": [31.081119946832438, 20.082954306689842]}, "shape_B": {"name": "triangle", "facecolor": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198], "edgecolor": "black", "center": [0.0, 0.0], "size": [41.27117573119293, 48.80668085025158]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_203.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_203.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_203.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_203.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_203.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_203.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_203.png"}, "answer_choices_info": {"easy": [{"name": "triangle", "size": [27.832, 58.705999999999996], "center": [-1.7400000000000009, -6.685000000000001], "color": [0.6149112808819945, 0.6090681787138097, 0.2584329518968146]}, {"name": "triangle", "size": [48.806, 41.271], "center": [1.1842378929335002e-15, 0.0], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}, {"name": "triangle", "size": [48.806, 41.271], "center": [-7.1739999999999995, -2.7455], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}, {"name": "triangle", "size": [30.204, 6.388999999999999], "center": [4.416333333333333, -0.9648333333333333], "color": [0.012184571786835519, 0.42452627324762593, 0.8444873169777836]}], "medium": [{"name": "triangle", "size": [60.408, 12.779], "center": [8.833, -1.9298333333333335], "color": [0.26185898305066135, 0.40721323171634416, 0.7958626641736529]}, {"name": "triangle", "size": [48.806, 41.271], "center": [1.1842378929335002e-15, 0.0], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}, {"name": "triangle", "size": [48.806000000000004, 23.13845369991823], "center": [5.557851424093759, 1.4470367095938954], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}, {"name": "triangle", "size": [48.806, 41.271], "center": [-7.1739999999999995, -2.7455], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}], "hard": [{"name": "triangle", "size": [48.806, 41.271], "center": [1.1842378929335002e-15, 0.0], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}, {"name": "triangle", "size": [48.806, 23.13845369991823], "center": [-5.557851424093756, 1.4470367095938954], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}, {"name": "triangle", "size": [48.806, 10.324656899748376], "center": [7.136528241292543, -1.5591882808016593], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}, {"name": "triangle", "size": [48.806, 41.271], "center": [-7.1739999999999995, -2.7455], "color": [0.8620684802830457, 0.9414533800739444, 0.10522938363128198]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [20.082, 31.082], "center": [5.551115123125783e-18, -2.220446049250313e-16], "color": [0.29639955765745096, 0.05869552367203623, 0.8487475617830732]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_203.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_203.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_203.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_203.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_203.png", "instructions": [["rotate", -90]], "correct_answer": {"easy": "B", "medium": "B", "hard": "A"}, "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\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"}
1steps_easy_no_205
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.
B
[['translate', [-30, 30]]]
easy
{"instance_id": 205, "shape_A": {"name": "pentagon", "facecolor": [0.4954921201828981, 0.4428140277129453, 0.9257094755947454], "edgecolor": "black", "center": [-1.0658141036401502e-15, 7.105427357601002e-16], "size": [59.88878509989513, 62.97079518806332]}, "shape_B": {"name": "circle", "facecolor": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693], "edgecolor": "black", "center": [-7.105427357601002e-16, 3.3306690738754696e-16], "size": [64.92364142980175, 64.92364142980175]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_205.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_205.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_205.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_205.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_205.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_205.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_205.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [77.482, 82.33600000000001], "center": [-1.7763568394002506e-16, -3.552713678800501e-15], "color": [0.046665363766621004, 0.987284438334954, 0.0967576372329978]}, {"name": "circle", "size": [64.924, 64.924], "center": [-30.000000000000007, 30.00000000000001], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}, {"name": "circle", "size": [33.052, 32.462], "center": [-6.217248937900876e-16, 4.440892098500626e-16], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}, {"name": "circle", "size": [64.924, 64.924], "center": [-3.552713678800501e-16, 4.4408920985006264e-17], "color": [0.46929757458945076, 0.10793638788626503, 0.5834871939384159]}], "medium": [{"name": "circle", "size": [90.21799999999999, 85.414], "center": [-3.197442310920451e-15, 1.2434497875801752e-15], "color": [0.42755181759600225, 0.6714245341587223, 0.8418374954939593]}, {"name": "circle", "size": [64.924, 64.924], "center": [-30.000000000000007, 30.00000000000001], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}, {"name": "circle", "size": [78.56800000000001, 87.654], "center": [-7.993605777301127e-16, -1.4210854715202005e-15], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}, {"name": "circle", "size": [64.924, 64.924], "center": [-3.552713678800501e-16, 4.4408920985006264e-17], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}], "hard": [{"name": "circle", "size": [64.924, 64.924], "center": [-30.000000000000007, 30.00000000000001], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}, {"name": "circle", "size": [75.882, 77.092], "center": [1.7763568394002505e-15, 0.0], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}, {"name": "circle", "size": [64.924, 64.924], "center": [-3.552713678800501e-16, 4.4408920985006264e-17], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}, {"name": "circle", "size": [43.512, 41.689], "center": [-0.00010000000000029985, 0.0003499999999991843], "color": [0.9980385706489602, 0.2539598911895664, 0.6071710357905693]}]}, "transformed_A_sequence_info": [{"name": "pentagon", "size": [59.889, 62.97], "center": [-30.000000000000007, 30.0], "color": [0.4954921201828981, 0.4428140277129453, 0.9257094755947454]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_205.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_205.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_205.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_205.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_205.png", "instructions": [["translate", [-30, 30]]], "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 - 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": "B", "medium": "B", "hard": "A"}
1steps_easy_no_206
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the right 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', [10, 30]]]
easy
{"instance_id": 206, "shape_A": {"name": "ellipse", "facecolor": [0.6032594390918192, 0.871061084810628, 0.7482054789023436], "edgecolor": "black", "center": [-5.329070518200751e-16, -4.1078251911130794e-16], "size": [30.9846395684798, 24.33760373933853]}, "shape_B": {"name": "circle", "facecolor": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116], "edgecolor": "black", "center": [8.881784197001252e-16, 1.0658141036401502e-15], "size": [64.80572197129315, 64.80572197129315]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_206.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_206.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_206.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_206.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_206.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_206.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_206.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.806, 64.806], "center": [5.329070518200751e-16, -2.220446049250313e-16], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}, {"name": "circle", "size": [64.806, 64.806], "center": [10.0, 30.000000000000007], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}, {"name": "circle", "size": [98.546, 60.502], "center": [3.3750779948604757e-15, -2.7533531010703883e-15], "color": [0.549264541894834, 0.16830773896950857, 0.9255514354059837]}, {"name": "circle", "size": [32.402, 32.402], "center": [7.105427357601002e-16, 1.9984014443252818e-16], "color": [0.5266364676163858, 0.07489201841430337, 0.27279500607391594]}], "medium": [{"name": "circle", "size": [64.806, 64.806], "center": [10.0, 30.000000000000007], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}, {"name": "circle", "size": [64.806, 64.806], "center": [5.329070518200751e-16, -2.220446049250313e-16], "color": [0.3673333703225786, 0.04329858260977637, 0.472795484408579]}, {"name": "circle", "size": [39.72, 44.266], "center": [1.7763568394002506e-16, -1.0436096431476472e-15], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}, {"name": "circle", "size": [32.403000000000006, 32.403000000000006], "center": [0.0003249999999984432, 0.00032499999999817674], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}], "hard": [{"name": "circle", "size": [89.944, 82.287], "center": [-0.00019999999999953388, 2.499999999459046e-05], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}, {"name": "circle", "size": [38.372, 42.706], "center": [-2.49999999992756e-05, 0.00015000000000089386], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}, {"name": "circle", "size": [64.806, 64.806], "center": [10.0, 30.000000000000007], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}, {"name": "circle", "size": [64.806, 64.806], "center": [5.329070518200751e-16, -2.220446049250313e-16], "color": [0.36547189782746814, 0.12179705668164376, 0.020151374275578116]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [30.984, 24.337999999999997], "center": [9.999999999999998, 29.999999999999993], "color": [0.6032594390918192, 0.871061084810628, 0.7482054789023436]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_206.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_206.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_206.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_206.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_206.png", "instructions": [["translate", [10, 30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "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 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": "C"}
1steps_easy_no_208
Imagine transforming a square step by step. <shapeB_image> Follow these changes: - Shift the square 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', [0, -30]]]
easy
{"instance_id": 208, "shape_A": {"name": "rectangle", "facecolor": [0.9892737561664742, 0.8818446960698108, 0.6461620768868648], "edgecolor": "black", "center": [0.0, 0.0], "size": [31.015158895158347, 23.083023309116616]}, "shape_B": {"name": "square", "facecolor": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.52909735848844, 32.52909735848844]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_208.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_208.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_208.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_208.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_208.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_208.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_208.png"}, "answer_choices_info": {"easy": [{"name": "square", "size": [32.53, 32.53], "center": [0.0, -30.0], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}, {"name": "square", "size": [22.218, 22.218], "center": [-4.440892098500626e-16, -2.220446049250313e-16], "color": [0.29054797713477465, 0.4210486432389091, 0.7519586166764456]}, {"name": "square", "size": [44.43600000000001, 44.43600000000001], "center": [-1.7763568394002505e-15, 1.7763568394002505e-15], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}, {"name": "square", "size": [32.53, 32.53], "center": [0.0, 0.0], "color": [0.38511299374027963, 0.10958867965587815, 0.8874554471625453]}], "medium": [{"name": "square", "size": [32.53, 32.53], "center": [0.0, -30.0], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}, {"name": "square", "size": [16.264, 16.264], "center": [0.0, 0.0], "color": [0.2024312513496893, 0.4637900780188847, 0.7235452293958823]}, {"name": "square", "size": [32.53, 32.53], "center": [0.0, 0.0], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}, {"name": "square", "size": [44.43600000000001, 44.43600000000001], "center": [-1.7763568394002505e-15, -1.7763568394002505e-15], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}], "hard": [{"name": "square", "size": [32.53, 32.53], "center": [0.0, -30.0], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}, {"name": "square", "size": [44.43600000000001, 44.43600000000001], "center": [-1.7763568394002505e-15, 1.3322676295501878e-15], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}, {"name": "square", "size": [32.53, 32.53], "center": [0.0, 0.0], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}, {"name": "square", "size": [16.264000000000003, 16.265], "center": [-8.881784197001252e-16, 0.0], "color": [0.11332966736162375, 0.9353633608087862, 0.8259557942926109]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [31.016, 23.084000000000003], "center": [0.0, -30.0], "color": [0.9892737561664742, 0.8818446960698108, 0.6461620768868648]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_208.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_208.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_208.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_208.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_208.png", "instructions": [["translate", [0, -30]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square 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": "A", "hard": "A"}
1steps_easy_no_212
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Shift the hexagon 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.
D
[['translate', [10, 10]]]
easy
{"instance_id": 212, "shape_A": {"name": "rectangle", "facecolor": [0.2792455506494317, 0.4604916795377806, 0.6243474627071599], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.79180115055821, 22.448521144761582]}, "shape_B": {"name": "hexagon", "facecolor": [0.889040823643492, 0.8566620587414278, 0.6132512318590465], "edgecolor": "black", "center": [0.0, 0.0], "size": [60.22777483173398, 52.158783017690666]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_212.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_212.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_212.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_212.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_212.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_212.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_212.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [60.227999999999994, 52.158], "center": [8.881784197001252e-16, 0.0], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}, {"name": "hexagon", "size": [20.89, 37.342], "center": [0.0, -5.921189464667501e-16], "color": [0.9570008184765946, 0.7041357464509614, 0.2961651886147667]}, {"name": "hexagon", "size": [52.158, 60.228], "center": [0.0, -5.921189464667501e-16], "color": [0.8055201105557552, 0.733446543202937, 0.7027151222964837]}, {"name": "hexagon", "size": [60.227999999999994, 52.158], "center": [9.999999999999998, 10.000000000000002], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}], "medium": [{"name": "hexagon", "size": [60.227999999999994, 52.158], "center": [9.999999999999998, 10.000000000000002], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}, {"name": "hexagon", "size": [30.113999999999997, 26.08], "center": [8.881784197001252e-16, 0.0], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}, {"name": "hexagon", "size": [60.227999999999994, 52.158], "center": [8.881784197001252e-16, 0.0], "color": [0.33085903015470164, 0.5159467541542359, 0.9705731949263158]}, {"name": "hexagon", "size": [45.171038055389516, 52.158], "center": [0.0, 0.0], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}], "hard": [{"name": "hexagon", "size": [45.171038055389516, 52.158], "center": [0.0, 0.0], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}, {"name": "hexagon", "size": [60.227999999999994, 52.158], "center": [8.881784197001252e-16, 0.0], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}, {"name": "hexagon", "size": [60.227999999999994, 52.158], "center": [9.999999999999998, 10.000000000000002], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}, {"name": "hexagon", "size": [26.08, 30.114], "center": [0.0, -0.00033333333333344467], "color": [0.889040823643492, 0.8566620587414278, 0.6132512318590465]}]}, "transformed_A_sequence_info": [{"name": "rectangle", "size": [32.792, 22.448], "center": [10.0, 10.0], "color": [0.2792455506494317, 0.4604916795377806, 0.6243474627071599]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_212.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_212.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_212.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_212.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_212.png", "instructions": [["translate", [10, 10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the right 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": "D", "medium": "A", "hard": "C"}
1steps_easy_no_213
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, 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.
B
[['scale', 0.5]]
easy
{"instance_id": 213, "shape_A": {"name": "square", "facecolor": [0.3447417170761713, 0.07841376221853147, 0.36452871703164236], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.870790255973308, 30.870790255973308]}, "shape_B": {"name": "hexagon", "facecolor": [0.4473265115326618, 0.5972144339401925, 0.04587745703366608], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [67.93012526932115, 58.82921416549135]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_213.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_213.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_213.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_213.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_213.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_213.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_213.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [67.93, 58.83], "center": [0.0, 0.0], "color": [0.38457003902986564, 0.3815846255570625, 0.26073751794971856]}, {"name": "hexagon", "size": [33.966, 29.414], "center": [0.0, 0.0], "color": [0.4473265115326618, 0.5972144339401925, 0.04587745703366608]}, {"name": "hexagon", "size": [39.058, 39.432], "center": [0.00016666666666627825, -0.00016666666666679633], "color": [0.8640871768285998, 0.5273038565726713, 0.43635799723186264]}, {"name": "hexagon", "size": [75.866, 88.736], "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "color": [0.4473265115326618, 0.5972144339401925, 0.04587745703366608]}], "hard": [{"name": "hexagon", "size": [67.932, 58.83], "center": [-1.1842378929335002e-15, 0.0], "color": [0.4473265115326618, 0.5972144339401925, 0.04587745703366608]}, {"name": "hexagon", "size": [44.002, 37.916], "center": [-0.00016666666666687036, 0.0], "color": [0.4473265115326618, 0.5972144339401925, 0.04587745703366608]}, {"name": "hexagon", "size": [33.966, 29.414], "center": [0.0, 0.0], "color": [0.4473265115326618, 0.5972144339401925, 0.04587745703366608]}, {"name": "hexagon", "size": [58.83, 67.93], "center": [0.0, 0.0], "color": [0.4473265115326618, 0.5972144339401925, 0.04587745703366608]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [15.436, 15.436], "center": [0.0, 0.0], "color": [0.3447417170761713, 0.07841376221853147, 0.36452871703164236]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_213.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_213.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_213.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_213.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_213.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_213.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_213.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_213.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_213.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "B", "hard": "C"}, "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\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "}
{"easy": "B", "hard": "C"}
1steps_easy_no_216
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> 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]]]
easy
{"instance_id": 216, "shape_A": {"name": "ellipse", "facecolor": [0.0258554418322805, 0.1542753368102685, 0.2503508263237516], "edgecolor": "black", "center": [-5.329070518200751e-16, -3.9968028886505636e-16], "size": [33.97399436877454, 21.255214305203022]}, "shape_B": {"name": "circle", "facecolor": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047], "edgecolor": "black", "center": [-7.105427357601002e-16, -2.4424906541753446e-16], "size": [65.24586681980196, 65.24586681980196]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_216.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_216.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_216.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_216.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_216.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_216.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_216.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [65.246, 65.246], "center": [-7.105427357601002e-16, -2.3092638912203257e-15], "color": [0.9787478058086837, 0.6248244491790018, 0.29578841261575517]}, {"name": "circle", "size": [104.238, 68.172], "center": [-1.4210854715202005e-15, -1.7763568394002506e-16], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}, {"name": "circle", "size": [32.623000000000005, 32.622], "center": [-0.0002749999999992703, -0.0003000000000007996], "color": [0.06328335875640556, 0.833557416419122, 0.9583110949005796]}, {"name": "circle", "size": [65.246, 65.246], "center": [-30.0, -9.999999999999998], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}], "medium": [{"name": "circle", "size": [65.246, 65.246], "center": [-30.0, -9.999999999999998], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}, {"name": "circle", "size": [86.138, 85.774], "center": [-1.0658141036401502e-15, 3.552713678800501e-16], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}, {"name": "circle", "size": [65.246, 65.246], "center": [-7.105427357601002e-16, -2.3092638912203257e-15], "color": [0.19047427137478246, 0.7260156391150014, 0.9733292573877499]}, {"name": "circle", "size": [32.623000000000005, 33.216], "center": [0.0004750000000004917, -2.4999999999267274e-05], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}], "hard": [{"name": "circle", "size": [112.844, 106.964], "center": [-7.105427357601002e-16, -1.4210854715202005e-15], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}, {"name": "circle", "size": [140.0, 29.342678861441147], "center": [3.552713678800501e-16, -1.304512053934559e-15], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}, {"name": "circle", "size": [65.246, 65.246], "center": [-30.0, -9.999999999999998], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}, {"name": "circle", "size": [65.246, 65.246], "center": [-7.105427357601002e-16, -2.3092638912203257e-15], "color": [0.19980008096805846, 0.8905055657677788, 0.003976085596137047]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [33.974000000000004, 21.256], "center": [-30.00000000000001, -10.0], "color": [0.0258554418322805, 0.1542753368102685, 0.2503508263237516]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_216.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_216.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_216.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_216.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_216.png", "instructions": [["translate", [-30, -10]]], "correct_answer": {"easy": "D", "medium": "A", "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 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": "D", "medium": "A", "hard": "C"}
1steps_easy_no_217
Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes: - Reduce the size of the hexagon, 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.
B
[['scale', 0.5]]
easy
{"instance_id": 217, "shape_A": {"name": "ellipse", "facecolor": [0.2554496047537872, 0.47731863657300355, 0.38696943974955944], "edgecolor": "black", "center": [-1.3322676295501878e-16, -7.549516567451064e-16], "size": [31.364667054933598, 23.04206648153218]}, "shape_B": {"name": "hexagon", "facecolor": [0.8327598673328263, 0.24494701757331272, 0.9953582590462331], "edgecolor": "black", "center": [-5.921189464667501e-16, -1.1842378929335002e-15], "size": [69.30922328345632, 60.02354808004108]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_217.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_217.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_217.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_217.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_217.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_217.png"}, "answer_choices_info": {"easy": [{"name": "hexagon", "size": [60.024, 69.31], "center": [0.0, 0.0], "color": [0.8330179472670854, 0.823302751350728, 0.5946554481930483]}, {"name": "hexagon", "size": [34.654, 30.012], "center": [-5.921189464667501e-16, 0.0], "color": [0.8327598673328263, 0.24494701757331272, 0.9953582590462331]}, {"name": "hexagon", "size": [45.48, 41.782], "center": [2.9605947323337506e-16, 5.921189464667501e-16], "color": [0.08957825713426071, 0.028781627414403044, 0.021088974754595036]}, {"name": "hexagon", "size": [69.31, 60.024], "center": [0.0, 0.0], "color": [0.8327598673328263, 0.24494701757331272, 0.9953582590462331]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [15.682, 11.522], "center": [0.0, -4.4408920985006264e-17], "color": [0.2554496047537872, 0.47731863657300355, 0.38696943974955944]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_217.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_217.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_217.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_217.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_217.png", "instructions": [["scale", 0.5]], "correct_answer": {"easy": "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\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"}
1steps_easy_no_218
Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes: - Shift the ellipse to the right by a significant amount 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', [30, -30]]]
easy
{"instance_id": 218, "shape_A": {"name": "square", "facecolor": [0.7259652344876266, 0.9688879034223553, 0.7191067261488547], "edgecolor": "black", "center": [0.0, 0.0], "size": [32.298673330589295, 32.298673330589295]}, "shape_B": {"name": "ellipse", "facecolor": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234], "edgecolor": "black", "center": [6.217248937900876e-16, -1.887379141862766e-16], "size": [31.21386899460527, 22.99270243344944]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_218.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_218.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_218.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_218.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_218.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_218.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_218.png"}, "answer_choices_info": {"easy": [{"name": "ellipse", "size": [31.214, 22.992], "center": [30.000000000000007, -30.000000000000007], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}, {"name": "ellipse", "size": [31.214, 22.992], "center": [1.7763568394002506e-16, -8.881784197001253e-17], "color": [0.5768670409574588, 0.7429132748126589, 0.7404759607784743]}, {"name": "ellipse", "size": [15.606000000000002, 11.495999999999999], "center": [-1.9984014443252818e-16, 1.7763568394002506e-16], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}, {"name": "ellipse", "size": [22.991999999999997, 31.214], "center": [2.6645352591003756e-16, 1.7763568394002506e-16], "color": [0.48097988801350466, 0.9180884673600828, 0.17339159903794]}], "medium": [{"name": "ellipse", "size": [31.214, 22.992], "center": [1.7763568394002506e-16, -8.881784197001253e-17], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}, {"name": "ellipse", "size": [15.606000000000002, 11.496000000000002], "center": [-1.9984014443252818e-16, 1.7763568394002506e-16], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}, {"name": "ellipse", "size": [36.054, 36.606], "center": [-3.552713678800501e-16, 5.329070518200751e-16], "color": [0.31232534646756216, 0.5009852347812618, 0.37414484068020715]}, {"name": "ellipse", "size": [31.214, 22.992], "center": [30.000000000000007, -30.000000000000007], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}], "hard": [{"name": "ellipse", "size": [31.214, 22.992], "center": [1.7763568394002506e-16, -8.881784197001253e-17], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}, {"name": "ellipse", "size": [19.837896805896804, 22.992], "center": [-1.961506961483117e-05, 5.329070518200751e-16], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}, {"name": "ellipse", "size": [31.214, 22.992], "center": [30.000000000000007, -30.000000000000007], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}, {"name": "ellipse", "size": [12.64, 14.652], "center": [-0.00012500000000005286, -0.00017500000000014726], "color": [0.7178175109648834, 0.4415655089823345, 0.7186517737390234]}]}, "transformed_A_sequence_info": [{"name": "square", "size": [32.298, 32.298], "center": [30.0, -30.0], "color": [0.7259652344876266, 0.9688879034223553, 0.7191067261488547]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_218.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_218.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_218.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_218.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_218.png", "instructions": [["translate", [30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount 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": "C"}
1steps_easy_no_219
Imagine transforming a circle step by step. <shapeB_image> Follow these changes: - Shift the circle a little to the left. <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, 0]]]
easy
{"instance_id": 219, "shape_A": {"name": "ellipse", "facecolor": [0.06458152969539377, 0.23322227757401337, 0.42053346547158776], "edgecolor": "black", "center": [-4.884981308350689e-16, -1.7763568394002506e-16], "size": [31.76478841141705, 21.09271423094578]}, "shape_B": {"name": "circle", "facecolor": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186], "edgecolor": "black", "center": [3.0198066269804257e-15, 5.773159728050814e-16], "size": [64.74209673067419, 64.74209673067419]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_219.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_219.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_219.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_219.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_219.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_219.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_219.png"}, "answer_choices_info": {"easy": [{"name": "circle", "size": [64.742, 64.742], "center": [-9.999999999999998, -1.2878587085651815e-15], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}, {"name": "circle", "size": [64.742, 64.742], "center": [2.6645352591003757e-15, -1.2878587085651815e-15], "color": [0.1705473685708293, 0.7972926481450053, 0.10941788526799712]}, {"name": "circle", "size": [82.65899999999999, 88.368], "center": [0.0002249999999978769, 0.0002500000000001279], "color": [0.98660702656124, 0.9084477386707043, 0.7157172782229045]}, {"name": "circle", "size": [40.864, 36.814], "center": [0.0002750000000009578, -7.500000000018047e-05], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}], "medium": [{"name": "circle", "size": [64.742, 64.742], "center": [-9.999999999999998, -1.2878587085651815e-15], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}, {"name": "circle", "size": [82.31700000000001, 74.569], "center": [-4.99999999945544e-05, -2.4999999999941735e-05], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}, {"name": "circle", "size": [64.742, 64.742], "center": [2.6645352591003757e-15, -1.2878587085651815e-15], "color": [0.3442136341559595, 0.7326972159484811, 0.4220412158096455]}, {"name": "circle", "size": [32.372, 32.372], "center": [8.881784197001253e-17, 2.220446049250313e-16], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}], "hard": [{"name": "circle", "size": [64.742, 64.742], "center": [-9.999999999999998, -1.2878587085651815e-15], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}, {"name": "circle", "size": [64.742, 53.758348527799825], "center": [-0.00024470650489600844, 2.930988785010413e-15], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}, {"name": "circle", "size": [64.742, 64.742], "center": [2.6645352591003757e-15, -1.2878587085651815e-15], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}, {"name": "circle", "size": [85.904, 78.648], "center": [-3.552713678800501e-16, -2.3092638912203257e-15], "color": [0.7079180240615164, 0.6142826899663442, 0.39111925425996186]}]}, "transformed_A_sequence_info": [{"name": "ellipse", "size": [31.764000000000003, 21.092], "center": [-10.0, 1.1102230246251565e-16], "color": [0.06458152969539377, 0.23322227757401337, 0.42053346547158776]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_219.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_219.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_219.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_219.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_219.png", "instructions": [["translate", [-10, 0]]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the left. <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": "A"}
1steps_easy_no_220
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> 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]]]
easy
{"instance_id": 220, "shape_A": {"name": "hexagon", "facecolor": [0.527138496552839, 0.17371705189934283, 0.4621243568262674], "edgecolor": "black", "center": [0.0, -1.1842378929335002e-15], "size": [61.5287814641893, 53.28548781188903]}, "shape_B": {"name": "pentagon", "facecolor": [0.11036756690890659, 0.608632962966876, 0.09777337155267274], "edgecolor": "black", "center": [-1.4210854715202005e-15, 0.0], "size": [57.95563457272616, 60.93816043497887]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_220.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_220.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_220.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_220.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_220.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_220.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_220.png"}, "answer_choices_info": {"easy": [{"name": "pentagon", "size": [30.302, 29.802999999999997], "center": [-0.5174000000000006, 1.0290999999999997], "color": [0.11036756690890659, 0.608632962966876, 0.09777337155267274]}, {"name": "pentagon", "size": [84.213, 93.715], "center": [0.732299999999998, -0.5787000000000007], "color": [0.1335297986424384, 0.19906770093857873, 0.913589379264806]}, {"name": "pentagon", "size": [57.955999999999996, 60.938], "center": [-30.0002, -30.0], "color": [0.11036756690890659, 0.608632962966876, 0.09777337155267274]}, {"name": "pentagon", "size": [57.955999999999996, 60.938], "center": [-3.0592000000000006, -1.4210854715202005e-15], "color": [0.3079036670706867, 0.7744968637050462, 0.7733774593612986]}], "medium": [{"name": "pentagon", "size": [57.955999999999996, 60.938], "center": [-30.0002, -30.0], "color": [0.11036756690890659, 0.608632962966876, 0.09777337155267274]}, {"name": "pentagon", "size": [71.169, 82.97999999999999], "center": [3.5475000000000017, 1.711999999999999], "color": [0.11036756690890659, 0.608632962966876, 0.09777337155267274]}, {"name": "pentagon", "size": [28.978, 30.47], "center": [-1.5298000000000016, 0.0], "color": [0.20062301220143364, 0.9303342067459235, 0.5218567709305272]}, {"name": "pentagon", "size": [57.955999999999996, 60.938], "center": [-3.0592000000000006, -1.4210854715202005e-15], "color": [0.11036756690890659, 0.608632962966876, 0.09777337155267274]}]}, "transformed_A_sequence_info": [{"name": "hexagon", "size": [61.528000000000006, 53.286], "center": [-30.0, -30.0], "color": [0.527138496552839, 0.17371705189934283, 0.4621243568262674]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_220.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_220.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_220.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_220.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_220.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_220.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_220.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_220.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_220.png", "instructions": [["translate", [-30, -30]]], "correct_answer": {"easy": "C", "medium": "A"}, "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\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"}
1steps_easy_no_221
Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes: - Shift the rectangle a little to the left and significantly downward. <shapeB_step_0> 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]]]
easy
{"instance_id": 221, "shape_A": {"name": "circle", "facecolor": [0.382250487399714, 0.012645383057312776, 0.07150053552527469], "edgecolor": "black", "center": [-7.105427357601002e-16, 3.108624468950438e-16], "size": [66.46259900735376, 66.46259900735376]}, "shape_B": {"name": "rectangle", "facecolor": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626], "edgecolor": "black", "center": [0.0, 0.0], "size": [30.210967832054635, 21.895207416047032]}, "individual_shape_B_transformations": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_step0_221.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_221.png", "composed_B_partial": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_partial_221.png", "composed_B_all": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_B_all_221.png", "answer_choices": {"easy": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_easy_221.png", "medium": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_medium_221.png", "hard": "output_dir/2d_transformation/2d_visual_analogy_1_steps/answer_choices_hard_221.png"}, "answer_choices_info": {"easy": [{"name": "rectangle", "size": [30.21, 21.896], "center": [0.0, 0.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}, {"name": "rectangle", "size": [30.21, 21.896], "center": [-10.0, -30.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}, {"name": "rectangle", "size": [18.556, 17.034], "center": [0.0, -1.1102230246251565e-16], "color": [0.23680698393930577, 0.43531707966409194, 0.05161229603278639]}, {"name": "rectangle", "size": [34.068, 37.11], "center": [0.0, 2.220446049250313e-16], "color": [0.5668426681456117, 0.6589378150159088, 0.20878180646464894]}], "medium": [{"name": "rectangle", "size": [30.21, 21.896], "center": [-10.0, -30.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}, {"name": "rectangle", "size": [34.068, 37.11], "center": [3.885780586188048e-16, 0.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}, {"name": "rectangle", "size": [30.21, 21.896], "center": [0.0, 0.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}, {"name": "rectangle", "size": [21.896, 30.212], "center": [0.0, 0.0], "color": [0.45391964717553335, 0.8340136206317494, 0.3935691041458588]}], "hard": [{"name": "rectangle", "size": [30.21, 21.896], "center": [0.0, 0.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}, {"name": "rectangle", "size": [21.896, 30.21], "center": [0.0, 0.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}, {"name": "rectangle", "size": [15.869019462465246, 21.896], "center": [0.0, 0.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}, {"name": "rectangle", "size": [30.21, 21.896], "center": [-10.0, -30.0], "color": [0.6886787593222768, 0.8102447822058128, 0.035822163382265626]}]}, "transformed_A_sequence_info": [{"name": "circle", "size": [66.462, 66.462], "center": [-9.999999999999998, -30.0], "color": [0.382250487399714, 0.012645383057312776, 0.07150053552527469]}], "individual_answer_choices_path": {"easy": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_easy_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_easy_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_easy_221.png"], "medium": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_medium_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_medium_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_medium_221.png"], "hard": ["output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_B_hard_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_C_hard_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/distractor_D_hard_221.png", "output_dir/2d_transformation/2d_visual_analogy_1_steps/shape_B_prime_221.png"]}, "question_image": "output_dir/2d_transformation/2d_visual_analogy_1_steps/composed_transformation_A_221.png", "instructions": [["translate", [-10, -30]]], "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 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": "B", "medium": "A", "hard": "D"}