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train · 5.16k rows

qid stringlengths 16 20	question stringlengths 330 572	answer stringclasses 4 values	transformations stringlengths 16 81	difficulty_level stringclasses 3 values	question_info stringlengths 3.24k 6.71k	answer_info stringclasses 123 values
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"}