qid stringlengths 9 17 | A_image imagewidth (px) 2.97k 2.97k | B_image imagewidth (px) 2.97k 2.97k | choices imagewidth (px) 2.36k 2.36k | answer stringclasses 4 values | transformations stringclasses 91 values | difficulty_level stringclasses 3 values | question_info stringclasses 91 values | answer_info stringclasses 61 values |
|---|---|---|---|---|---|---|---|---|
easy_no_0 | B | [['scale', 0.5], ['translate', [30, 0]], ['flip', 'horizontal'], ['translate', [-10, -30]]] | easy | {"instance_id": 0, "shape_A": {"name": "pentagon", "facecolor": [0.8094304566778266, 0.006498759678061017, 0.8058192518328079], "edgecolor": "black", "center": [0, 0], "size": 33.018630156834455}, "shape_B": {"name": "circle", "facecolor": [0.6394267984578837, 0.025010755222666936, 0.27502931836911926], "edgecolor": "black", "center": [0, 0], "size": 33.49069697494114}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_0.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_0.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_0.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_0.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_0.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_0.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_0.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_0.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_0.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_0.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_0.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_0.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_0.png", "instructions": [["scale", 0.5], ["translate", [30, 0]], ["flip", "horizontal"], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the right by a significant amount. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "A", "hard": "A"} | |||
easy_no_1 | C | [['translate', [-30, 0]], ['scale', 0.5], ['translate', [-10, -10]], ['rotate', 60]] | easy | {"instance_id": 1, "shape_A": {"name": "rectangle", "facecolor": [0.21770089841417495, 0.0584832920072994, 0.7357371787890434], "edgecolor": "black", "center": [0, 0], "size": [32.84837705069093, 22.894595287536053]}, "shape_B": {"name": "square", "facecolor": [0.6618713119507452, 0.4866714116543295, 0.18989786726763713], "edgecolor": "black", "center": [0, 0], "size": 34.70798063614545}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_1.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_1.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_1.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_1.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_1.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_1.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_1.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_1.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_1.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_1.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_1.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_1.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_1.png", "instructions": [["translate", [-30, 0]], ["scale", 0.5], ["translate", [-10, -10]], ["rotate", 60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount. <shapeB_step_0>\n- Reduce the size of the square, making it smaller. <shapeB_step_1>\n- Shift the square a little to the left and slightly downward. <shapeB_step_2>\n- Rotate the square by 60 degrees counter-clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "A", "hard": "B"} | |||
easy_no_2 | B | [['rotate', 60], ['rotate', 90], ['translate', [30, 0]], ['rotate', 90]] | easy | {"instance_id": 2, "shape_A": {"name": "rectangle", "facecolor": [0.816586605596929, 0.4603032346789421, 0.30519086733860057], "edgecolor": "black", "center": [0, 0], "size": [34.85200305511114, 20.89283908086232]}, "shape_B": {"name": "triangle", "facecolor": [0.7953454991528618, 0.22759548740777036, 0.02366443470145152], "edgecolor": "black", "center": [0, 0], "size": 34.81267157880778}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_2.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_2.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_2.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_2.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_2.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_2.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_2.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_2.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_2.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_2.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_2.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_2.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_2.png", "instructions": [["rotate", 60], ["rotate", 90], ["translate", [30, 0]], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount. <shapeB_step_2>\n- Rotate the triangle by 90 degrees counter-clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "D"} | |||
easy_no_3 | C | [['shear', [-0.41152883735900536, -0.1911977426441438]], ['translate', [0, 30]], ['shear', [0.0618438622915356, -0.1489923745895705]], ['shear', [-0.5389239174029845, 0.44256866265213923]]] | easy | {"instance_id": 3, "shape_A": {"name": "circle", "facecolor": [0.347203765308449, 0.42837801323474445, 0.3705708762180562], "edgecolor": "black", "center": [0, 0], "size": 31.341977690246125}, "shape_B": {"name": "triangle", "facecolor": [0.6355851061014459, 0.8287073110024582, 0.7073086437060769], "edgecolor": "black", "center": [0, 0], "size": 34.40815592001386}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_3.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_3.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_3.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_3.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_3.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_3.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_3.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_3.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_3.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_3.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_3.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_3.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_3.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_3.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_3.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_3.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_3.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_3.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_3.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_3.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_3.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_3.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_3.png", "instructions": [["shear", [-0.41152883735900536, -0.1911977426441438]], ["translate", [0, 30]], ["shear", [0.0618438622915356, -0.1489923745895705]], ["shear", [-0.5389239174029845, 0.44256866265213923]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "N/A"} | {"easy": "C", "medium": "D", "hard": "B"} | |||
easy_no_4 | A | [['translate', [10, 30]], ['shear', [-0.05997921007929663, -0.18330381313996935]], ['translate', [0, 10]], ['shear', [-0.9266057393725826, -0.8238804144484229]]] | easy | {"instance_id": 4, "shape_A": {"name": "circle", "facecolor": [0.42513896610421165, 0.5445623787105787, 0.6476347234024807], "edgecolor": "black", "center": [0, 0], "size": 31.25183951206002}, "shape_B": {"name": "pentagon", "facecolor": [0.03986078418361305, 0.43202866416077257, 0.32232158335829997], "edgecolor": "black", "center": [0, 0], "size": 31.34755512983527}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_4.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_4.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_4.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_4.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_4.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_4.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_4.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_4.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_4.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_4.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_4.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_4.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_4.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_4.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_4.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_4.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_4.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_4.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_4.png", "instructions": [["translate", [10, 30]], ["shear", [-0.05997921007929663, -0.18330381313996935]], ["translate", [0, 10]], ["shear", [-0.9266057393725826, -0.8238804144484229]]], "correct_answer": {"easy": "A", "hard": "D"}, "text_instructions": "N/A"} | {"easy": "A", "hard": "D"} | |||
easy_no_5 | A | [['translate', [10, -10]], ['translate', [30, 10]], ['translate', [-10, -30]], ['scale', 0.5]] | easy | {"instance_id": 5, "shape_A": {"name": "ellipse", "facecolor": [0.5304826886589294, 0.3761944057034886, 0.45364579067301736], "edgecolor": "black", "center": [0, 0], "size": [32.120073865564976, 23.035380037205076]}, "shape_B": {"name": "circle", "facecolor": [0.028953181061268318, 0.2732703887127248, 0.7624095179809979], "edgecolor": "black", "center": [0, 0], "size": 30.77789951702244}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_5.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_5.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_5.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_5.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_5.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_5.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_5.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_5.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_5.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_5.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_5.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_5.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_5.png", "instructions": [["translate", [10, -10]], ["translate", [30, 10]], ["translate", [-10, -30]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly downward. <shapeB_step_0>\n- Shift the circle to the right by a significant amount and slightly upward. <shapeB_step_1>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_2>\n- Reduce the size of the circle, making it smaller. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "B", "hard": "B"} | |||
easy_no_6 | C | [['translate', [0, -30]], ['rotate', -30], ['flip', 'vertical'], ['rotate', 30]] | easy | {"instance_id": 6, "shape_A": {"name": "hexagon", "facecolor": [0.6375125378832983, 0.3633111306509823, 0.8010959755621699], "edgecolor": "black", "center": [0, 0], "size": 32.836223208620595}, "shape_B": {"name": "triangle", "facecolor": [0.3525593103084823, 0.998150597773049, 0.2745553600748576], "edgecolor": "black", "center": [0, 0], "size": 33.89257686753433}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_6.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_6.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_6.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_6.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_6.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_6.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_6.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_6.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_6.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_6.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_6.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_6.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_6.png", "instructions": [["translate", [0, -30]], ["rotate", -30], ["flip", "vertical"], ["rotate", 30]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "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- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_7 | A | [['translate', [30, 0]], ['rotate', -30], ['translate', [10, 30]], ['rotate', -30]] | easy | {"instance_id": 7, "shape_A": {"name": "ellipse", "facecolor": [0.37054019805029126, 0.5616512157483692, 0.31911588640315725], "edgecolor": "black", "center": [0, 0], "size": [32.888435189467984, 21.563574604311366]}, "shape_B": {"name": "triangle", "facecolor": [0.8607773657543253, 0.9753741279148802, 0.13076615155238647], "edgecolor": "black", "center": [0, 0], "size": 31.637179104005973}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_7.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_7.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_7.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_7.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_7.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_7.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_7.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_7.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_7.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_7.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_7.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_7.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_7.png", "instructions": [["translate", [30, 0]], ["rotate", -30], ["translate", [10, 30]], ["rotate", -30]], "correct_answer": {"easy": "A", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount. <shapeB_step_0>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>\n- Shift the triangle a little to the right and significantly upward. <shapeB_step_2>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following 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": "D"} | |||
easy_no_8 | C | [['shear', [-0.36591850996310393, -0.30239365159738685]], ['translate', [0, -10]], ['translate', [-30, 0]], ['rotate', -90]] | easy | {"instance_id": 8, "shape_A": {"name": "pentagon", "facecolor": [0.5462732192448302, 0.675868576556368, 0.8676544034549933], "edgecolor": "black", "center": [0, 0], "size": 34.911301482379976}, "shape_B": {"name": "rectangle", "facecolor": [0.47160546386851143, 0.8483769948470389, 0.7274020989409185], "edgecolor": "black", "center": [0, 0], "size": [31.321810916441553, 22.420900508473224]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_8.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_8.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_8.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_8.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_8.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_8.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_8.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_8.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_8.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_8.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_8.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_8.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_8.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_8.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_8.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_8.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_8.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_8.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_8.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_8.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_8.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_8.png", "instructions": [["shear", [-0.36591850996310393, -0.30239365159738685]], ["translate", [0, -10]], ["translate", [-30, 0]], ["rotate", -90]], "correct_answer": {"easy": "C", "medium": "A", "hard": "B"}, "text_instructions": "N/A"} | {"easy": "C", "medium": "A", "hard": "B"} | |||
easy_no_10 | B | [['scale', 0.5], ['scale', 2.0], ['translate', [10, -30]], ['rotate', -60]] | easy | {"instance_id": 10, "shape_A": {"name": "ellipse", "facecolor": [0.2697664432393865, 0.1325070044941994, 0.18739178352787722], "edgecolor": "black", "center": [0, 0], "size": [30.42349758464261, 24.505680224282166]}, "shape_B": {"name": "square", "facecolor": [0.15422096386551842, 0.7116771547786167, 0.6339008819630509], "edgecolor": "black", "center": [0, 0], "size": 31.622151652862062}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_10.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_10.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_10.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_10.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_10.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_10.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_10.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_10.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_10.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_10.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_10.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_10.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_10.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["translate", [10, -30]], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "B", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Increase the size of the square, making it larger. <shapeB_step_1>\n- Shift the square a little to the right and significantly downward. <shapeB_step_2>\n- Rotate the square by -60 degrees clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "C"} | |||
easy_no_11 | B | [['rotate', 30], ['translate', [-30, 10]], ['scale', 0.5], ['translate', [-10, 30]]] | easy | {"instance_id": 11, "shape_A": {"name": "square", "facecolor": [0.5885899565401472, 0.5004657816197345, 0.3449673875995183], "edgecolor": "black", "center": [0, 0], "size": 34.05092968459349}, "shape_B": {"name": "ellipse", "facecolor": [0.1416751768315483, 0.31189034389754144, 0.4553326352258771], "edgecolor": "black", "center": [0, 0], "size": [33.38569666445442, 20.821770464253515]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_11.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_11.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_11.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_11.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_11.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_11.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_11.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_11.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_11.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_11.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_11.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_11.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_11.png", "instructions": [["rotate", 30], ["translate", [-30, 10]], ["scale", 0.5], ["translate", [-10, 30]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the ellipse to the left by a significant amount and slightly upward. <shapeB_step_1>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>\n- Shift the ellipse a little to the left and significantly upward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "D", "hard": "D"} | |||
easy_no_12 | A | [['rotate', -90], ['scale', 0.5], ['rotate', -60], ['rotate', 30]] | easy | {"instance_id": 12, "shape_A": {"name": "pentagon", "facecolor": [0.7018106386235163, 0.08242781192464588, 0.5365648160700154], "edgecolor": "black", "center": [0, 0], "size": 33.17147123676628}, "shape_B": {"name": "hexagon", "facecolor": [0.628570696060576, 0.5010489655070751, 0.4154319943754019], "edgecolor": "black", "center": [0, 0], "size": 31.953657514841748}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_12.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_12.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_12.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_12.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_12.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_12.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_12.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_12.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_12.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_12.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_12.png", "instructions": [["rotate", -90], ["scale", 0.5], ["rotate", -60], ["rotate", 30]], "correct_answer": {"easy": "A", "medium": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_1>\n- Rotate the hexagon by -60 degrees clockwise around its center. <shapeB_step_2>\n- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_13 | C | [['translate', [30, 10]], ['translate', [0, 10]], ['scale', 0.5], ['scale', 2.0]] | easy | {"instance_id": 13, "shape_A": {"name": "circle", "facecolor": [0.5940305440520949, 0.6136447257788938, 0.4827367864884782], "edgecolor": "black", "center": [0, 0], "size": 31.804144606136365}, "shape_B": {"name": "triangle", "facecolor": [0.20555047671793714, 0.18998425758838544, 0.6971967038073571], "edgecolor": "black", "center": [0, 0], "size": 33.00107764006884}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_13.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_13.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_13.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_13.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_13.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_13.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_13.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_13.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_13.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_13.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_13.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_13.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_13.png", "instructions": [["translate", [30, 10]], ["translate", [0, 10]], ["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount and slightly upward. <shapeB_step_0>\n- Shift the triangle slightly upward. <shapeB_step_1>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_2>\n- Increase the size of the triangle, making it larger. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "D", "hard": "A"} | |||
easy_no_14 | A | [['rotate', -30], ['rotate', -30], ['translate', [-10, 0]], ['scale', 0.5]] | easy | {"instance_id": 14, "shape_A": {"name": "square", "facecolor": [0.03746567049771343, 0.2754141420347538, 0.14385267062667373], "edgecolor": "black", "center": [0, 0], "size": 34.34450012549599}, "shape_B": {"name": "triangle", "facecolor": [0.8895742139142575, 0.3314940757342707, 0.23757929391630717], "edgecolor": "black", "center": [0, 0], "size": 32.215553066657144}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_14.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_14.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_14.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_14.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_14.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_14.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_14.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_14.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_14.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_14.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_14.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_14.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_14.png", "instructions": [["rotate", -30], ["rotate", -30], ["translate", [-10, 0]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_1>\n- Shift the triangle a little to the left. <shapeB_step_2>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "A", "hard": "D"} | |||
easy_no_15 | C | [['translate', [-10, -10]], ['flip', 'horizontal'], ['rotate', -60], ['rotate', -30]] | easy | {"instance_id": 15, "shape_A": {"name": "ellipse", "facecolor": [0.3716824297648611, 0.5855706952069037, 0.46376062818775987], "edgecolor": "black", "center": [0, 0], "size": [34.35424573176502, 20.753892255476313]}, "shape_B": {"name": "triangle", "facecolor": [0.8714322321644817, 0.42047256818481105, 0.8868435496935034], "edgecolor": "black", "center": [0, 0], "size": 32.0655362700694}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_15.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_15.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_15.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_15.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_15.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_15.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_15.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_15.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_15.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_15.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_15.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_15.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_15.png", "instructions": [["translate", [-10, -10]], ["flip", "horizontal"], ["rotate", -60], ["rotate", -30]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and slightly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_2>\n- Rotate the triangle by -30 degrees clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_16 | A | [['shear', [-0.9996605690433271, -0.8182089061769355]], ['shear', [0.3091919671218748, -0.08758415355749238]], ['translate', [-30, 10]], ['shear', [0.31433441286227914, 0.4318270005663105]]] | easy | {"instance_id": 16, "shape_A": {"name": "circle", "facecolor": [0.6637106439195243, 0.641404452807282, 0.14865445225710427], "edgecolor": "black", "center": [0, 0], "size": 32.2209443822973}, "shape_B": {"name": "ellipse", "facecolor": [0.7514300010476109, 0.3206338155336068, 0.33089484252143686], "edgecolor": "black", "center": [0, 0], "size": [34.903353694728516, 23.72619482328642]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_16.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_16.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_16.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_16.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_16.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_16.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_16.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_16.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_16.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_16.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_16.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_16.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_16.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_16.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_16.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_16.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_16.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_16.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_16.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_16.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_16.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_16.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_16.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_16.png", "instructions": [["shear", [-0.9996605690433271, -0.8182089061769355]], ["shear", [0.3091919671218748, -0.08758415355749238]], ["translate", [-30, 10]], ["shear", [0.31433441286227914, 0.4318270005663105]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "B"}, "text_instructions": "N/A"} | {"easy": "A", "medium": "C", "hard": "B"} | |||
easy_no_17 | C | [['scale', 0.5], ['translate', [-10, 10]], ['scale', 2.0], ['translate', [30, -10]]] | easy | {"instance_id": 17, "shape_A": {"name": "hexagon", "facecolor": [0.26697826944429437, 0.7855321925948217, 0.9835323936240042], "edgecolor": "black", "center": [0, 0], "size": 32.809424916835184}, "shape_B": {"name": "ellipse", "facecolor": [0.3808703135350846, 0.053064999507771216, 0.05660477429555666], "edgecolor": "black", "center": [0, 0], "size": [33.08054416880143, 23.377630067597796]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_17.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_17.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_17.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_17.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_17.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_17.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_17.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_17.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_17.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_17.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_17.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_17.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_17.png", "instructions": [["scale", 0.5], ["translate", [-10, 10]], ["scale", 2.0], ["translate", [30, -10]]], "correct_answer": {"easy": "C", "medium": "A", "hard": "A"}, "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- Shift the ellipse a little to the left and slightly upward. <shapeB_step_1>\n- Increase the size of the ellipse, making it larger. <shapeB_step_2>\n- Shift the ellipse to the right by a significant amount and slightly downward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "medium": "A", "hard": "A"} | |||
easy_no_18 | D | [['translate', [-10, 30]], ['flip', 'horizontal'], ['scale', 0.5], ['translate', [-30, 10]]] | easy | {"instance_id": 18, "shape_A": {"name": "pentagon", "facecolor": [0.437676149468225, 0.39511325822861765, 0.6607231649072405], "edgecolor": "black", "center": [0, 0], "size": 33.386445227525314}, "shape_B": {"name": "hexagon", "facecolor": [0.3013507098448711, 0.08650522143779271, 0.7652742410204625], "edgecolor": "black", "center": [0, 0], "size": 30.720377687292416}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_18.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_18.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_18.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_18.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_18.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_18.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_18.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_18.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_18.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_18.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_18.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_18.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_18.png", "instructions": [["translate", [-10, 30]], ["flip", "horizontal"], ["scale", 0.5], ["translate", [-30, 10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly upward. <shapeB_step_0>\n- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n- Shift the hexagon to the left by a significant amount and slightly upward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "D", "hard": "D"} | |||
easy_no_19 | D | [['translate', [30, 0]], ['rotate', 60], ['rotate', 30], ['translate', [0, 30]]] | easy | {"instance_id": 19, "shape_A": {"name": "square", "facecolor": [0.5298165189397056, 0.22948625637905018, 0.8023001960078138], "edgecolor": "black", "center": [0, 0], "size": 33.94711241152562}, "shape_B": {"name": "triangle", "facecolor": [0.741394042282245, 0.7615392270474919, 0.6967076031574667], "edgecolor": "black", "center": [0, 0], "size": 30.035970262252906}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_19.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_19.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_19.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_19.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_19.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_19.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_19.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_19.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_19.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_19.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_19.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_19.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_19.png", "instructions": [["translate", [30, 0]], ["rotate", 60], ["rotate", 30], ["translate", [0, 30]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount. <shapeB_step_0>\n- Rotate the triangle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n- Shift the triangle significantly upward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "D", "hard": "B"} | |||
easy_no_20 | C | [['scale', 0.5], ['rotate', 30], ['rotate', 60], ['translate', [-30, -30]]] | easy | {"instance_id": 20, "shape_A": {"name": "square", "facecolor": [0.5407679455918271, 0.5024752121216726, 0.3937169228523979], "edgecolor": "black", "center": [0, 0], "size": 31.829620755609632}, "shape_B": {"name": "ellipse", "facecolor": [0.011819978610448922, 0.21075238570144772, 0.5810082189794468], "edgecolor": "black", "center": [0, 0], "size": [31.86154813934408, 24.2716304362041]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_20.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_20.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_20.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_20.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_20.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_20.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_20.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_20.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_20.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_20.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_20.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_20.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_20.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_20.png", "instructions": [["scale", 0.5], ["rotate", 30], ["rotate", 60], ["translate", [-30, -30]]], "correct_answer": {"easy": "C", "medium": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n- Shift the ellipse to the left by a significant amount and significantly downward. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_21 | B | [['translate', [10, 30]], ['translate', [0, 10]], ['rotate', -30], ['translate', [30, -10]]] | easy | {"instance_id": 21, "shape_A": {"name": "hexagon", "facecolor": [0.8828240193732261, 0.16680931890354744, 0.1803965386000682], "edgecolor": "black", "center": [0, 0], "size": 33.82092183952186}, "shape_B": {"name": "rectangle", "facecolor": [0.625325053539152, 0.17889789162891712, 0.7491943579773724], "edgecolor": "black", "center": [0, 0], "size": [31.76162037635166, 21.575774980711987]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_21.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_21.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_21.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_21.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_21.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_21.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_21.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_21.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_21.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_21.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_21.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_21.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_21.png", "instructions": [["translate", [10, 30]], ["translate", [0, 10]], ["rotate", -30], ["translate", [30, -10]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right and significantly upward. <shapeB_step_0>\n- Shift the rectangle slightly upward. <shapeB_step_1>\n- Rotate the rectangle by -30 degrees clockwise around its center. <shapeB_step_2>\n- Shift the rectangle to the right by a significant amount and slightly downward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "B"} | |||
easy_no_22 | D | [['rotate', -90], ['rotate', -90], ['translate', [-30, 30]], ['translate', [30, 10]]] | easy | {"instance_id": 22, "shape_A": {"name": "rectangle", "facecolor": [0.4135820524658307, 0.36526764443746096, 0.1904897415692982], "edgecolor": "black", "center": [0, 0], "size": [30.429072197987576, 23.697908150201215]}, "shape_B": {"name": "hexagon", "facecolor": [0.8027960243985809, 0.6231821562783306, 0.44046342406330663], "edgecolor": "black", "center": [0, 0], "size": 34.162223779415115}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_22.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_22.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_22.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_22.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_22.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_22.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_22.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_22.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_22.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_22.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_22.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_22.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_22.png", "instructions": [["rotate", -90], ["rotate", -90], ["translate", [-30, 30]], ["translate", [30, 10]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by -90 degrees clockwise around its center. <shapeB_step_1>\n- Shift the hexagon to the left by a significant amount and significantly upward. <shapeB_step_2>\n- Shift the hexagon to the right by a significant amount and slightly upward. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_24 | A | [['rotate', 60], ['rotate', -60], ['translate', [10, -30]], ['translate', [-30, -30]]] | easy | {"instance_id": 24, "shape_A": {"name": "square", "facecolor": [0.7943466597289164, 0.6795589275997141, 0.9185016225526726], "edgecolor": "black", "center": [0, 0], "size": 31.41104623174964}, "shape_B": {"name": "hexagon", "facecolor": [0.06241055853085875, 0.9010756950742388, 0.9678995166206904], "edgecolor": "black", "center": [0, 0], "size": 32.03016327252854}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_24.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_24.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_24.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_24.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_24.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_24.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_24.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_24.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_24.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_24.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_24.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_24.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_24.png", "instructions": [["rotate", 60], ["rotate", -60], ["translate", [10, -30]], ["translate", [-30, -30]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the hexagon by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the hexagon by -60 degrees clockwise around its center. <shapeB_step_1>\n- Shift the hexagon a little to the right and significantly downward. <shapeB_step_2>\n- Shift the hexagon to the left by a significant amount and significantly downward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "D", "hard": "D"} | |||
easy_no_25 | B | [['rotate', -90], ['rotate', 30], ['rotate', -90], ['translate', [-30, 10]]] | easy | {"instance_id": 25, "shape_A": {"name": "rectangle", "facecolor": [0.5941385824725443, 0.8939669641514058, 0.21682471745080467], "edgecolor": "black", "center": [0, 0], "size": [30.378570878460277, 22.26721882532147]}, "shape_B": {"name": "square", "facecolor": [0.03404176252857194, 0.619397223680774, 0.05688191159446132], "edgecolor": "black", "center": [0, 0], "size": 33.30238923192702}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_25.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_25.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_25.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_25.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_25.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_25.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_25.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_25.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_25.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_25.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_25.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_25.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_25.png", "instructions": [["rotate", -90], ["rotate", 30], ["rotate", -90], ["translate", [-30, 10]]], "correct_answer": {"easy": "B", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Rotate the square by -90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the square by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the square by -90 degrees clockwise around its center. <shapeB_step_2>\n- Shift the square to the left by a significant amount and slightly upward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "A", "hard": "C"} | |||
easy_no_27 | B | [['scale', 0.5], ['scale', 2.0], ['rotate', 90], ['translate', [10, -30]]] | easy | {"instance_id": 27, "shape_A": {"name": "pentagon", "facecolor": [0.5737275828934292, 0.1470834746925247, 0.5652315149347765], "edgecolor": "black", "center": [0, 0], "size": 32.008149609622436}, "shape_B": {"name": "square", "facecolor": [0.9204339759418756, 0.4045623312225112, 0.49941691583781067], "edgecolor": "black", "center": [0, 0], "size": 32.210527671079504}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_27.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_27.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_27.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_27.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_27.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_27.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_27.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_27.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_27.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_27.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_27.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_27.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_27.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["rotate", 90], ["translate", [10, -30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the square, making it smaller. <shapeB_step_0>\n- Increase the size of the square, making it larger. <shapeB_step_1>\n- Rotate the square by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n- Shift the square a little to the right and significantly downward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "C", "hard": "B"} | |||
easy_no_29 | A | [['rotate', 30], ['rotate', 30], ['translate', [30, 10]], ['rotate', 90]] | easy | {"instance_id": 29, "shape_A": {"name": "rectangle", "facecolor": [0.25365688282655174, 0.6196578769455676, 0.30250735564175146], "edgecolor": "black", "center": [0, 0], "size": [30.220810807441048, 20.639357473671833]}, "shape_B": {"name": "ellipse", "facecolor": [0.5595603886330499, 0.580486909891458, 0.26029165215690797], "edgecolor": "black", "center": [0, 0], "size": [34.17402018908414, 23.73911683859647]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_29.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_29.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_29.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_29.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_29.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_29.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_29.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_29.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_29.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_29.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_29.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_29.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_29.png", "instructions": [["rotate", 30], ["rotate", 30], ["translate", [30, 10]], ["rotate", 90]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the ellipse by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the ellipse to the right by a significant amount and slightly upward. <shapeB_step_2>\n- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "C", "hard": "D"} | |||
easy_no_30 | C | [['translate', [-10, -30]], ['translate', [30, -30]], ['rotate', 30], ['translate', [10, 0]]] | easy | {"instance_id": 30, "shape_A": {"name": "square", "facecolor": [0.2240956387398041, 0.25782214100407674, 0.3403242139882281], "edgecolor": "black", "center": [0, 0], "size": 33.910781288831956}, "shape_B": {"name": "hexagon", "facecolor": [0.9266320984532515, 0.4378267064615107, 0.4571356398064427], "edgecolor": "black", "center": [0, 0], "size": 34.35434737076559}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_30.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_30.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_30.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_30.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_30.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_30.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_30.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_30.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_30.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_30.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_30.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_30.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_30.png", "instructions": [["translate", [-10, -30]], ["translate", [30, -30]], ["rotate", 30], ["translate", [10, 0]]], "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 a little to the left and significantly downward. <shapeB_step_0>\n- Shift the hexagon to the right by a significant amount and significantly downward. <shapeB_step_1>\n- Rotate the hexagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n- Shift the hexagon a little to the right. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_31 | C | [['translate', [30, 10]], ['flip', 'vertical'], ['flip', 'vertical'], ['rotate', -60]] | easy | {"instance_id": 31, "shape_A": {"name": "pentagon", "facecolor": [0.18307713284436655, 0.7396603263079647, 0.0020857536966196744], "edgecolor": "black", "center": [0, 0], "size": 34.17229994088536}, "shape_B": {"name": "ellipse", "facecolor": [0.14286939160629952, 0.783792500120582, 0.421756968264662], "edgecolor": "black", "center": [0, 0], "size": [32.26187213883874, 21.68911623885294]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_31.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_31.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_31.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_31.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_31.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_31.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_31.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_31.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_31.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_31.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_31.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_31.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_31.png", "instructions": [["translate", [30, 10]], ["flip", "vertical"], ["flip", "vertical"], ["rotate", -60]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "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- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n- Rotate the ellipse by -60 degrees clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_32 | B | [['translate', [10, 0]], ['flip', 'vertical'], ['translate', [-10, -30]], ['rotate', 90]] | easy | {"instance_id": 32, "shape_A": {"name": "hexagon", "facecolor": [0.21275413472323979, 0.8406841941947372, 0.2813112888148779], "edgecolor": "black", "center": [0, 0], "size": 32.5241012482873}, "shape_B": {"name": "rectangle", "facecolor": [0.6530588490671053, 0.1673816740553299, 0.06017503092815579], "edgecolor": "black", "center": [0, 0], "size": [34.15249053909072, 23.625368906426395]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_32.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_32.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_32.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_32.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_32.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_32.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_32.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_32.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_32.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_32.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_32.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_32.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_32.png", "instructions": [["translate", [10, 0]], ["flip", "vertical"], ["translate", [-10, -30]], ["rotate", 90]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right. <shapeB_step_0>\n- Flip the rectangle as if there's a mirror along the vertical line x = 0. <shapeB_step_1>\n- Shift the rectangle a little to the left and significantly downward. <shapeB_step_2>\n- Rotate the rectangle by 90 degrees counter-clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "B", "hard": "D"} | |||
easy_no_34 | D | [['rotate', -60], ['translate', [10, 0]], ['flip', 'horizontal'], ['flip', 'vertical']] | easy | {"instance_id": 34, "shape_A": {"name": "ellipse", "facecolor": [0.8839670321913443, 0.31796697510794936, 0.8515542124686434], "edgecolor": "black", "center": [0, 0], "size": [34.48389713183255, 21.54424314336465]}, "shape_B": {"name": "circle", "facecolor": [0.9905312875078909, 0.8504650337189813, 0.17145911046818008], "edgecolor": "black", "center": [0, 0], "size": 31.162127386906}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_34.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_34.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_34.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_34.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_34.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_34.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_34.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_34.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_34.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_34.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_34.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_34.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_34.png", "instructions": [["rotate", -60], ["translate", [10, 0]], ["flip", "horizontal"], ["flip", "vertical"]], "correct_answer": {"easy": "D", "medium": "A", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by -60 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle a little to the right. <shapeB_step_1>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Flip the circle as if there's a mirror along the vertical line x = 0. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "A", "hard": "C"} | |||
easy_no_35 | A | [['shear', [-0.39185198459725834, 0.3092679703786143]], ['shear', [-0.563727053934955, 0.49676503532610927]], ['shear', [0.7122825916958166, -0.7961043167364925]], ['translate', [10, 10]]] | easy | {"instance_id": 35, "shape_A": {"name": "circle", "facecolor": [0.152702233403062, 0.7167663068370005, 0.8480699489463723], "edgecolor": "black", "center": [0, 0], "size": 33.63377300214171}, "shape_B": {"name": "pentagon", "facecolor": [0.34830716071809964, 0.3913627147008709, 0.07182322090748272], "edgecolor": "black", "center": [0, 0], "size": 34.32927715797245}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_35.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_35.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_35.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_35.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_35.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_35.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_35.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_35.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_35.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_35.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_35.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_35.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_35.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_35.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_35.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_35.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_35.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_35.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_35.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_35.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_35.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_35.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_35.png", "instructions": [["shear", [-0.39185198459725834, 0.3092679703786143]], ["shear", [-0.563727053934955, 0.49676503532610927]], ["shear", [0.7122825916958166, -0.7961043167364925]], ["translate", [10, 10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "C"}, "text_instructions": "N/A"} | {"easy": "A", "medium": "D", "hard": "C"} | |||
easy_no_36 | B | [['rotate', -90], ['rotate', 90], ['translate', [-10, -10]], ['flip', 'horizontal']] | easy | {"instance_id": 36, "shape_A": {"name": "hexagon", "facecolor": [0.1252364374655578, 0.325228974696236, 0.713768146253232], "edgecolor": "black", "center": [0, 0], "size": 32.69490892863829}, "shape_B": {"name": "circle", "facecolor": [0.11662763418731825, 0.12205156303359888, 0.6414093276023284], "edgecolor": "black", "center": [0, 0], "size": 33.50370954795727}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_36.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_36.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_36.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_36.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_36.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_36.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_36.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_36.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_36.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_36.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_36.png", "instructions": [["rotate", -90], ["rotate", 90], ["translate", [-10, -10]], ["flip", "horizontal"]], "correct_answer": {"easy": "B", "medium": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by -90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the circle by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_2>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "B", "medium": "A"} | |||
easy_no_37 | D | [['translate', [-30, 0]], ['rotate', 60], ['rotate', 90], ['flip', 'vertical']] | easy | {"instance_id": 37, "shape_A": {"name": "triangle", "facecolor": [0.44576980118081444, 0.0986374100661247, 0.9418180029584394], "edgecolor": "black", "center": [0, 0], "size": 31.73669766243223}, "shape_B": {"name": "ellipse", "facecolor": [0.6190103690542129, 0.30147641692571825, 0.4741985201064095], "edgecolor": "black", "center": [0, 0], "size": [31.83006012620338, 23.14932319213919]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_37.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_37.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_37.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_37.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_37.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_37.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_37.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_37.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_37.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_37.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_37.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_37.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_37.png", "instructions": [["translate", [-30, 0]], ["rotate", 60], ["rotate", 90], ["flip", "vertical"]], "correct_answer": {"easy": "D", "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 left by a significant amount. <shapeB_step_0>\n- Rotate the ellipse by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_2>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "D", "medium": "B", "hard": "D"} | |||
easy_no_38 | D | [['scale', 0.5], ['translate', [10, -30]], ['shear', [-0.11205272702281333, 0.2896943046934459]], ['translate', [-10, 30]]] | easy | {"instance_id": 38, "shape_A": {"name": "circle", "facecolor": [0.9576157713949134, 0.9209041007619821, 0.0595773898911619], "edgecolor": "black", "center": [0, 0], "size": 31.858421156335}, "shape_B": {"name": "ellipse", "facecolor": [0.24249740847004475, 0.8278218077464937, 0.0558656658753407], "edgecolor": "black", "center": [0, 0], "size": [34.35238488607754, 20.15092865179802]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_38.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_38.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_38.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_38.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_38.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_38.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_38.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_38.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_38.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_38.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_38.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_38.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_38.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_38.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_38.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_38.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_38.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_38.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_38.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_38.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_38.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_38.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_38.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_38.png", "instructions": [["scale", 0.5], ["translate", [10, -30]], ["shear", [-0.11205272702281333, 0.2896943046934459]], ["translate", [-10, 30]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "N/A"} | {"easy": "D", "medium": "C", "hard": "A"} | |||
easy_no_39 | C | [['scale', 0.5], ['rotate', -60], ['rotate', 30], ['scale', 2.0]] | easy | {"instance_id": 39, "shape_A": {"name": "ellipse", "facecolor": [0.4408276778961141, 0.5124792519572052, 0.6246319111588966], "edgecolor": "black", "center": [0, 0], "size": [32.80400201707866, 20.77281116891875]}, "shape_B": {"name": "triangle", "facecolor": [0.4090332303717803, 0.61968350348726, 0.6805847818328755], "edgecolor": "black", "center": [0, 0], "size": 33.49872648050022}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_39.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_39.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_39.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_39.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_39.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_39.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_39.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_39.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_39.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_39.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_39.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_39.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_39.png", "instructions": [["scale", 0.5], ["rotate", -60], ["rotate", 30], ["scale", 2.0]], "correct_answer": {"easy": "C", "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- Rotate the triangle by -60 degrees clockwise around its center. <shapeB_step_1>\n- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n- Increase the size of the triangle, making it larger. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_40 | D | [['translate', [10, -30]], ['rotate', 30], ['rotate', -30], ['rotate', -60]] | easy | {"instance_id": 40, "shape_A": {"name": "triangle", "facecolor": [0.10367530209127751, 0.749943679211488, 0.6238256910981901], "edgecolor": "black", "center": [0, 0], "size": 33.96875608392169}, "shape_B": {"name": "circle", "facecolor": [0.7020926223723328, 0.9379015335823266, 0.9058827672675048], "edgecolor": "black", "center": [0, 0], "size": 30.572505526079247}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_40.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_40.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_40.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_40.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_40.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_40.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_40.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_40.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_40.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_40.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_40.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_40.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_40.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_40.png", "instructions": [["translate", [10, -30]], ["rotate", 30], ["rotate", -30], ["rotate", -60]], "correct_answer": {"easy": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and significantly downward. <shapeB_step_0>\n- Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_2>\n- Rotate the circle by -60 degrees clockwise around its center. <shapeB_step_3>\n\n After these transformations, which of the following 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": "C"} | |||
easy_no_41 | C | [['translate', [30, 0]], ['translate', [30, 30]], ['translate', [-30, -10]], ['translate', [10, 10]]] | easy | {"instance_id": 41, "shape_A": {"name": "circle", "facecolor": [0.7857276514438948, 0.3476331132419348, 0.2879925497312348], "edgecolor": "black", "center": [0, 0], "size": 31.31916094129002}, "shape_B": {"name": "pentagon", "facecolor": [0.4746006908112954, 0.3340541498424623, 0.17751505206801632], "edgecolor": "black", "center": [0, 0], "size": 31.237552146336743}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_41.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_41.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_41.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_41.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_41.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_41.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_41.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_41.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_41.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_41.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_41.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_41.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_41.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_41.png", "instructions": [["translate", [30, 0]], ["translate", [30, 30]], ["translate", [-30, -10]], ["translate", [10, 10]]], "correct_answer": {"easy": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon to the right by a significant amount. <shapeB_step_0>\n- Shift the pentagon to the right by a significant amount and significantly upward. <shapeB_step_1>\n- Shift the pentagon to the left by a significant amount and slightly downward. <shapeB_step_2>\n- Shift the pentagon a little to the right and slightly upward. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "C", "hard": "C"} | |||
easy_no_42 | D | [['rotate', 30], ['rotate', 60], ['scale', 0.5], ['translate', [-10, -10]]] | easy | {"instance_id": 42, "shape_A": {"name": "pentagon", "facecolor": [0.6112473569813892, 0.312239322060493, 0.6186449159432068], "edgecolor": "black", "center": [0, 0], "size": 31.002556284313695}, "shape_B": {"name": "circle", "facecolor": [0.1271923838733684, 0.5172468669580443, 0.10091300396567204], "edgecolor": "black", "center": [0, 0], "size": 32.729708094057365}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_42.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_42.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_42.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_42.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_42.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_42.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_42.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_42.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_42.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_42.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_42.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_42.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_42.png", "instructions": [["rotate", 30], ["rotate", 60], ["scale", 0.5], ["translate", [-10, -10]]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the circle by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Reduce the size of the circle, making it smaller. <shapeB_step_2>\n- Shift the circle a little to the left and slightly downward. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_43 | C | [['translate', [-30, 10]], ['scale', 0.5], ['translate', [-10, -30]], ['translate', [0, 30]]] | easy | {"instance_id": 43, "shape_A": {"name": "pentagon", "facecolor": [0.3362182969055971, 0.8281575657982347, 0.2625327394175804], "edgecolor": "black", "center": [0, 0], "size": 33.762003595274635}, "shape_B": {"name": "circle", "facecolor": [0.3004128473041865, 0.9650964743233718, 0.059720041447076766], "edgecolor": "black", "center": [0, 0], "size": 33.76659183170492}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_43.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_43.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_43.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_43.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_43.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_43.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_43.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_43.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_43.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_43.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_43.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_43.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_43.png", "instructions": [["translate", [-30, 10]], ["scale", 0.5], ["translate", [-10, -30]], ["translate", [0, 30]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle to the left by a significant amount and slightly upward. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle a little to the left and significantly downward. <shapeB_step_2>\n- Shift the circle significantly upward. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_44 | D | [['shear', [0.6775799916490639, 0.5097294772990408]], ['translate', [30, -10]], ['shear', [-0.2609188824424009, -0.43632495490005696]], ['scale', 0.5]] | easy | {"instance_id": 44, "shape_A": {"name": "circle", "facecolor": [0.4932934667253286, 0.0482879472086678, 0.5176776416398705], "edgecolor": "black", "center": [0, 0], "size": 32.433178627450644}, "shape_B": {"name": "square", "facecolor": [0.5251936434196547, 0.5082278910582171, 0.9280435698232764], "edgecolor": "black", "center": [0, 0], "size": 31.118166814943745}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_44.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_44.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_44.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_44.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_44.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_44.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_44.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_44.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_44.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_44.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_44.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_44.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_44.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_44.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_44.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_44.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_44.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_44.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_44.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_44.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_44.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_44.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_44.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_44.png", "instructions": [["shear", [0.6775799916490639, 0.5097294772990408]], ["translate", [30, -10]], ["shear", [-0.2609188824424009, -0.43632495490005696]], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "A", "hard": "A"}, "text_instructions": "N/A"} | {"easy": "D", "medium": "A", "hard": "A"} | |||
easy_no_45 | A | [['scale', 0.5], ['translate', [-30, 0]], ['translate', [10, -30]], ['flip', 'horizontal']] | easy | {"instance_id": 45, "shape_A": {"name": "triangle", "facecolor": [0.4112290843678891, 0.8090305435802903, 0.4251992806693875], "edgecolor": "black", "center": [0, 0], "size": 33.05375700182036}, "shape_B": {"name": "circle", "facecolor": [0.6872219311808052, 0.028962547264473337, 0.26792386552309544], "edgecolor": "black", "center": [0, 0], "size": 32.68006549053642}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_45.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_45.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_45.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_45.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_45.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_45.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_45.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_45.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_45.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_45.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_45.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_45.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_45.png", "instructions": [["scale", 0.5], ["translate", [-30, 0]], ["translate", [10, -30]], ["flip", "horizontal"]], "correct_answer": {"easy": "A", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the circle, making it smaller. <shapeB_step_0>\n- Shift the circle to the left by a significant amount. <shapeB_step_1>\n- Shift the circle a little to the right and significantly downward. <shapeB_step_2>\n- Flip the circle as if there's a mirror along the horizontal line y = 0. <shapeB_step_3>\n\n After these transformations, which of the following shapes best represents the final result?\n\n For reference, the black dots in each panel of the figures indicate the origin.\n "} | {"easy": "A", "medium": "D", "hard": "C"} | |||
easy_no_46 | C | [['rotate', -30], ['translate', [0, 30]], ['translate', [-10, 0]], ['translate', [30, -10]]] | easy | {"instance_id": 46, "shape_A": {"name": "square", "facecolor": [0.637478155721656, 0.06232547249076181, 0.09747546060301582], "edgecolor": "black", "center": [0, 0], "size": 33.34820587417049}, "shape_B": {"name": "hexagon", "facecolor": [0.9057247488667836, 0.5868474894921148, 0.9443009746540827], "edgecolor": "black", "center": [0, 0], "size": 32.21699435429679}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_46.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_46.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_46.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_46.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_46.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_46.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_46.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_46.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_46.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_46.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_46.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_46.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_46.png", "instructions": [["rotate", -30], ["translate", [0, 30]], ["translate", [-10, 0]], ["translate", [30, -10]]], "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 clockwise around its center. <shapeB_step_0>\n- Shift the hexagon significantly upward. <shapeB_step_1>\n- Shift the hexagon a little to the left. <shapeB_step_2>\n- Shift the hexagon to the right by a significant amount and slightly downward. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_48 | C | [['translate', [-10, 10]], ['translate', [30, -30]], ['flip', 'horizontal'], ['translate', [0, 30]]] | easy | {"instance_id": 48, "shape_A": {"name": "ellipse", "facecolor": [0.4071688696842949, 0.2707432023629929, 0.6311281932632019], "edgecolor": "black", "center": [0, 0], "size": [33.78306112981204, 20.910901408179864]}, "shape_B": {"name": "triangle", "facecolor": [0.7555430490989568, 0.9922376871145898, 0.2517477777194995], "edgecolor": "black", "center": [0, 0], "size": 30.557350291953572}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_48.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_48.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_48.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_48.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_48.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_48.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_48.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_48.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_48.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_48.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_48.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_48.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_48.png", "instructions": [["translate", [-10, 10]], ["translate", [30, -30]], ["flip", "horizontal"], ["translate", [0, 30]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and slightly upward. <shapeB_step_0>\n- Shift the triangle to the right by a significant amount and significantly downward. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Shift the triangle significantly upward. <shapeB_step_3>\n\n After these transformations, which of the following 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"} | |||
easy_no_49 | B | [['translate', [10, -10]], ['shear', [0.7440563908866167, 0.827153867597197]], ['shear', [0.44504543431408106, -0.6605195379529509]], ['translate', [-10, 10]]] | easy | {"instance_id": 49, "shape_A": {"name": "circle", "facecolor": [0.04536949202966545, 0.8474148083403567, 0.17735838565661943], "edgecolor": "black", "center": [0, 0], "size": 34.62477244844256}, "shape_B": {"name": "rectangle", "facecolor": [0.46981270434176803, 0.03899081096933377, 0.5962044879971464], "edgecolor": "black", "center": [0, 0], "size": [30.149900633750683, 21.02038447954002]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_49.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_49.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_49.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_49.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_49.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_49.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_49.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_49.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_49.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_49.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_49.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_49.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_49.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_49.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_49.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_49.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_49.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_49.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_49.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_49.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_49.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_49.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_49.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_49.png", "instructions": [["translate", [10, -10]], ["shear", [0.7440563908866167, 0.827153867597197]], ["shear", [0.44504543431408106, -0.6605195379529509]], ["translate", [-10, 10]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "B"}, "text_instructions": "N/A"} | {"easy": "B", "medium": "D", "hard": "B"} | |||
easy_no_50 | B | [['shear', [0.24262512121803503, 0.09175885379110271]], ['rotate', 90], ['translate', [30, 0]], ['translate', [-30, 0]]] | easy | {"instance_id": 50, "shape_A": {"name": "pentagon", "facecolor": [0.6318802241088333, 0.7941948562703739, 0.9795306189520095], "edgecolor": "black", "center": [0, 0], "size": 30.938741327401733}, "shape_B": {"name": "ellipse", "facecolor": [0.3747706984073059, 0.14522099926597287, 0.7364103267686397], "edgecolor": "black", "center": [0, 0], "size": [30.05856255337919, 22.403881865883054]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_50.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_50.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_50.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_50.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_50.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_50.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_50.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_50.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_50.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_50.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_50.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_50.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_50.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_50.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_50.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_50.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_50.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_50.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_50.png", "instructions": [["shear", [0.24262512121803503, 0.09175885379110271]], ["rotate", 90], ["translate", [30, 0]], ["translate", [-30, 0]]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "N/A"} | {"easy": "B", "medium": "C"} | |||
easy_no_51 | B | [['translate', [-10, 0]], ['translate', [-10, 30]], ['scale', 0.5], ['shear', [-0.47701544006547447, 0.5935946551250844]]] | easy | {"instance_id": 51, "shape_A": {"name": "circle", "facecolor": [0.3105275847675675, 0.5061192788200698, 0.6423077401554979], "edgecolor": "black", "center": [0, 0], "size": 33.99243616662593}, "shape_B": {"name": "triangle", "facecolor": [0.7116655677405698, 0.9146973034510988, 0.6631901815879128], "edgecolor": "black", "center": [0, 0], "size": 31.12412428269297}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_51.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_51.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_51.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_51.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_51.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_51.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_51.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_51.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_51.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_51.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_51.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_51.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_51.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_51.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_51.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_51.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_51.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_51.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_51.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_51.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_51.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_51.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_51.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_51.png", "instructions": [["translate", [-10, 0]], ["translate", [-10, 30]], ["scale", 0.5], ["shear", [-0.47701544006547447, 0.5935946551250844]]], "correct_answer": {"easy": "B", "medium": "B", "hard": "D"}, "text_instructions": "N/A"} | {"easy": "B", "medium": "B", "hard": "D"} | |||
easy_no_52 | C | [['shear', [0.744194189953522, 0.8252292596499795]], ['shear', [0.776467084259262, 0.5872949501976967]], ['translate', [-10, 0]], ['shear', [-0.22230831110384108, -0.10412883841974896]]] | easy | {"instance_id": 52, "shape_A": {"name": "circle", "facecolor": [0.5740028895506903, 0.9490298903387268, 0.3874511406191732], "edgecolor": "black", "center": [0, 0], "size": 33.03079713362831}, "shape_B": {"name": "pentagon", "facecolor": [0.7518153868170669, 0.5238672737610923, 0.020400761658707633], "edgecolor": "black", "center": [0, 0], "size": 31.92376760044187}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_52.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_52.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_52.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_52.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_52.png"], "question": "Observe the transformation pattern of Shape A through steps 0 to 4. <question_image> Apply the same transformation sequence to Shape B and determine the final shape at step 3. <image_for_B> For reference, the black dots in each panel of the figures indicate the origin. Select the correct answer choice that matches the expected transformation result. <answer_choices>", "composed_B_no": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_no_52.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_52.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_52.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_52.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_52.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_52.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_52.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_52.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_52.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_52.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_52.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_52.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_52.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_52.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_52.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_52.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_52.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_52.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_52.png", "instructions": [["shear", [0.744194189953522, 0.8252292596499795]], ["shear", [0.776467084259262, 0.5872949501976967]], ["translate", [-10, 0]], ["shear", [-0.22230831110384108, -0.10412883841974896]]], "correct_answer": {"easy": "C", "medium": "D", "hard": "B"}, "text_instructions": "N/A"} | {"easy": "C", "medium": "D", "hard": "B"} |
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