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"} | |||
easy_no_56 | A | [['translate', [-10, -30]], ['flip', 'horizontal'], ['flip', 'horizontal'], ['translate', [-10, -30]]] | easy | {"instance_id": 56, "shape_A": {"name": "hexagon", "facecolor": [0.6315245230864099, 0.3265330681704667, 0.15559832504206783], "edgecolor": "black", "center": [0, 0], "size": 32.54417513685558}, "shape_B": {"name": "triangle", "facecolor": [0.468926302758369, 0.9565237556255114, 0.577043455530469], "edgecolor": "black", "center": [0, 0], "size": 30.111125984559706}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_56.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_56.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_56.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_56.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_56.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_56.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_56.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_56.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_56.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_56.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_56.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_56.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_56.png", "instructions": [["translate", [-10, -30]], ["flip", "horizontal"], ["flip", "horizontal"], ["translate", [-10, -30]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle a little to the left and significantly downward. <shapeB_step_0>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Flip the triangle as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Shift the triangle 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": "A", "medium": "C", "hard": "A"} | |||
easy_no_57 | C | [['translate', [0, 30]], ['shear', [0.22444901163370923, -0.1301246766788986]], ['shear', [-0.8744030673128731, 0.6591055375074502]], ['shear', [0.6696043400599607, -0.5542009107877115]]] | easy | {"instance_id": 57, "shape_A": {"name": "circle", "facecolor": [0.7837247826840111, 0.8625744009284644, 0.4496122459538523], "edgecolor": "black", "center": [0, 0], "size": 31.38931154859464}, "shape_B": {"name": "triangle", "facecolor": [0.8681338630605879, 0.18396188324271656, 0.8691741584480306], "edgecolor": "black", "center": [0, 0], "size": 30.046125711185407}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_57.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_57.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_57.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_57.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_57.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_57.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_57.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_57.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_57.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_57.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_57.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_57.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_57.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_57.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_57.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_57.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_57.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_57.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_57.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_57.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_57.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_57.png", "instructions": [["translate", [0, 30]], ["shear", [0.22444901163370923, -0.1301246766788986]], ["shear", [-0.8744030673128731, 0.6591055375074502]], ["shear", [0.6696043400599607, -0.5542009107877115]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "C"}, "text_instructions": "N/A"} | {"easy": "C", "medium": "C", "hard": "C"} | |||
easy_no_58 | D | [['translate', [-30, -10]], ['rotate', 90], ['flip', 'horizontal'], ['translate', [0, 10]]] | easy | {"instance_id": 58, "shape_A": {"name": "hexagon", "facecolor": [0.9247138929166969, 0.6315702598644986, 0.02978910759226061], "edgecolor": "black", "center": [0, 0], "size": 33.48677344869452}, "shape_B": {"name": "square", "facecolor": [0.25027591530468496, 0.01822754674345195, 0.9138798685397354], "edgecolor": "black", "center": [0, 0], "size": 33.87931085421925}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_58.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_58.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_58.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_58.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_58.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_58.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_58.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_58.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_58.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_58.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_58.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_58.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_58.png", "instructions": [["translate", [-30, -10]], ["rotate", 90], ["flip", "horizontal"], ["translate", [0, 10]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "A"}, "text_instructions": "\n Imagine transforming a square step by step. <shapeB_image> Follow these changes:\n\n - Shift the square to the left by a significant amount and slightly downward. <shapeB_step_0>\n- Rotate the square by 90 degrees counter-clockwise around its center. <shapeB_step_1>\n- Flip the square as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Shift the square 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_59 | C | [['translate', [-10, 10]], ['scale', 0.5], ['translate', [0, 10]], ['flip', 'vertical']] | easy | {"instance_id": 59, "shape_A": {"name": "pentagon", "facecolor": [0.7696865316768913, 0.4197261599298645, 0.3412962555994131], "edgecolor": "black", "center": [0, 0], "size": 32.00976836196468}, "shape_B": {"name": "ellipse", "facecolor": [0.18294724544524643, 0.49703669531234906, 0.528327792908034], "edgecolor": "black", "center": [0, 0], "size": [33.48013467358773, 21.359707809470308]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_59.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_59.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_59.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_59.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_59.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_59.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_59.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_59.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_59.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_59.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_59.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_59.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_59.png", "instructions": [["translate", [-10, 10]], ["scale", 0.5], ["translate", [0, 10]], ["flip", "vertical"]], "correct_answer": {"easy": "C", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse a little to the left and slightly upward. <shapeB_step_0>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_1>\n- Shift the ellipse slightly upward. <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": "C", "medium": "C", "hard": "D"} | |||
easy_no_60 | B | [['rotate', 30], ['rotate', 30], ['translate', [10, -30]], ['translate', [-10, -30]]] | easy | {"instance_id": 60, "shape_A": {"name": "pentagon", "facecolor": [0.6451860790662107, 0.6669789681624753, 0.3074965954396218], "edgecolor": "black", "center": [0, 0], "size": 30.520464454203285}, "shape_B": {"name": "rectangle", "facecolor": [0.1938562048829191, 0.7181813997317316, 0.18768400347472203], "edgecolor": "black", "center": [0, 0], "size": [34.397230573736124, 23.782397274560896]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_60.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_60.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_60.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_60.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_60.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_60.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_60.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_60.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_60.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_60.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_60.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_60.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_60.png", "instructions": [["rotate", 30], ["rotate", 30], ["translate", [10, -30]], ["translate", [-10, -30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle a little to the right and significantly downward. <shapeB_step_2>\n- Shift the rectangle 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": "C", "hard": "D"} | |||
easy_no_61 | D | [['translate', [30, 0]], ['translate', [-10, -10]], ['flip', 'vertical'], ['scale', 0.5]] | easy | {"instance_id": 61, "shape_A": {"name": "ellipse", "facecolor": [0.8712351975048794, 0.027269522743553765, 0.1539918160804219], "edgecolor": "black", "center": [0, 0], "size": [32.86020752447745, 22.42693061479845]}, "shape_B": {"name": "hexagon", "facecolor": [0.4556287532499388, 0.32037821367613395, 0.7451612965230155], "edgecolor": "black", "center": [0, 0], "size": 34.23715857734047}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_61.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_61.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_61.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_61.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_61.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_61.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_61.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_61.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_61.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_61.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_61.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_61.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_61.png", "instructions": [["translate", [30, 0]], ["translate", [-10, -10]], ["flip", "vertical"], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon to the right by a significant amount. <shapeB_step_0>\n- Shift the hexagon a little to the left and slightly downward. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n- Reduce the size of the hexagon, 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": "D", "medium": "B", "hard": "B"} | |||
easy_no_62 | B | [['shear', [-0.00850383123587406, 0.14687129820038525]], ['translate', [10, -10]], ['flip', 'horizontal'], ['translate', [30, -10]]] | easy | {"instance_id": 62, "shape_A": {"name": "hexagon", "facecolor": [0.9610142141678355, 0.1087132876157223, 0.5446854153809458], "edgecolor": "black", "center": [0, 0], "size": 31.18986490462599}, "shape_B": {"name": "rectangle", "facecolor": [0.1952685281518045, 0.2026664424975696, 0.23211310125281537], "edgecolor": "black", "center": [0, 0], "size": [30.508282783575154, 23.014635859555856]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_62.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_62.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_62.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_62.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_62.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_62.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_62.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_62.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_62.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_62.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_62.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_62.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_62.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_62.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_62.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_62.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_62.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_62.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_62.png", "instructions": [["shear", [-0.00850383123587406, 0.14687129820038525]], ["translate", [10, -10]], ["flip", "horizontal"], ["translate", [30, -10]]], "correct_answer": {"easy": "B", "medium": "C"}, "text_instructions": "N/A"} | {"easy": "B", "medium": "C"} | |||
easy_no_63 | B | [['translate', [30, 0]], ['flip', 'horizontal'], ['rotate', -30], ['rotate', -60]] | easy | {"instance_id": 63, "shape_A": {"name": "triangle", "facecolor": [0.060142327882884095, 0.7325017812469017, 0.13163439749006034], "edgecolor": "black", "center": [0, 0], "size": 30.291845796836395}, "shape_B": {"name": "ellipse", "facecolor": [0.47801382099633305, 0.2716820266916349, 0.12977589096881392], "edgecolor": "black", "center": [0, 0], "size": [31.622275854052397, 23.864627763016788]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_63.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_63.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_63.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_63.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_63.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_63.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_63.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_63.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_63.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_63.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_63.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_63.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_63.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_63.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_63.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_63.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_63.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_63.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_63.png", "instructions": [["translate", [30, 0]], ["flip", "horizontal"], ["rotate", -30], ["rotate", -60]], "correct_answer": {"easy": "B", "medium": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Shift the ellipse to the right by a significant amount. <shapeB_step_0>\n- Flip the ellipse as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Rotate the ellipse by -30 degrees clockwise around its center. <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": "B", "medium": "D"} | |||
easy_no_64 | C | [['rotate', -30], ['translate', [-30, 0]], ['rotate', -60], ['scale', 0.5]] | easy | {"instance_id": 64, "shape_A": {"name": "square", "facecolor": [0.05668864110171923, 0.8232491701568112, 0.9116544425853526], "edgecolor": "black", "center": [0, 0], "size": 33.76329927370633}, "shape_B": {"name": "circle", "facecolor": [0.27718418578620774, 0.8678569550433912, 0.5113809793654924], "edgecolor": "black", "center": [0, 0], "size": 32.05055756369802}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_64.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_64.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_64.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_64.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_64.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_64.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_64.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_64.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_64.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_64.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_64.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_64.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_64.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_64.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_64.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_64.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_64.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_64.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_64.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_64.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_64.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_64.png", "instructions": [["rotate", -30], ["translate", [-30, 0]], ["rotate", -60], ["scale", 0.5]], "correct_answer": {"easy": "C", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_0>\n- Shift the circle to the left by a significant amount. <shapeB_step_1>\n- Rotate the circle by -60 degrees clockwise around its center. <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": "C", "medium": "B", "hard": "B"} | |||
easy_no_65 | A | [['rotate', 90], ['translate', [30, -10]], ['translate', [-30, -10]], ['translate', [-30, -10]]] | easy | {"instance_id": 65, "shape_A": {"name": "rectangle", "facecolor": [0.8896365046026116, 0.4368088530241927, 0.14891355543534013], "edgecolor": "black", "center": [0, 0], "size": [30.582397656536756, 22.23465690719017]}, "shape_B": {"name": "ellipse", "facecolor": [0.1382220216056499, 0.853749621473278, 0.018980600178872264], "edgecolor": "black", "center": [0, 0], "size": [32.33679309950484, 24.569646986287708]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_65.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_65.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_65.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_65.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_65.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_65.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_65.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_65.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_65.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_65.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_65.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_65.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_65.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_65.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_65.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_65.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_65.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_65.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_65.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_65.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_65.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_65.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_65.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_65.png", "instructions": [["rotate", 90], ["translate", [30, -10]], ["translate", [-30, -10]], ["translate", [-30, -10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by 90 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the ellipse to the right by a significant amount and slightly downward. <shapeB_step_1>\n- Shift the ellipse to the left by a significant amount and slightly downward. <shapeB_step_2>\n- Shift the ellipse to the left 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": "A", "medium": "D", "hard": "B"} | |||
easy_no_66 | A | [['scale', 0.5], ['scale', 2.0], ['translate', [30, 10]], ['scale', 0.5]] | easy | {"instance_id": 66, "shape_A": {"name": "square", "facecolor": [0.7876979676426897, 0.4163908690367992, 0.845127940648642], "edgecolor": "black", "center": [0, 0], "size": 30.727300945553857}, "shape_B": {"name": "triangle", "facecolor": [0.9313579927945271, 0.06533358076512708, 0.5157872149853205], "edgecolor": "black", "center": [0, 0], "size": 32.06849737156077}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_66.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_66.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_66.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_66.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_66.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_66.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_66.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_66.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_66.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_66.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_66.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_66.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_66.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_66.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_66.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_66.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["translate", [30, 10]], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "A", "hard": "A"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the triangle, making it smaller. <shapeB_step_0>\n- Increase the size of the triangle, making it larger. <shapeB_step_1>\n- Shift the triangle to the right by a significant amount and slightly upward. <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": "A"} | |||
easy_no_67 | D | [['scale', 0.5], ['translate', [10, -30]], ['scale', 2.0], ['scale', 0.5]] | easy | {"instance_id": 67, "shape_A": {"name": "ellipse", "facecolor": [0.9107189250917151, 0.8517868407321012, 0.8152855109911061], "edgecolor": "black", "center": [0, 0], "size": [32.472671083794424, 22.79414684056685]}, "shape_B": {"name": "rectangle", "facecolor": [0.06733227066802616, 0.02774889844399908, 0.07906507832465703], "edgecolor": "black", "center": [0, 0], "size": [32.94404963092023, 24.909892618510163]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_67.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_67.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_67.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_67.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_67.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_67.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_67.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_67.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_67.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_67.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_67.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_67.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_67.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_67.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_67.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_67.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_67.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_67.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_67.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_67.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_67.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_67.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_67.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_67.png", "instructions": [["scale", 0.5], ["translate", [10, -30]], ["scale", 2.0], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "B", "hard": "A"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the rectangle, making it smaller. <shapeB_step_0>\n- Shift the rectangle a little to the right and significantly downward. <shapeB_step_1>\n- Increase the size of the rectangle, making it larger. <shapeB_step_2>\n- Reduce the size of the rectangle, 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": "D", "medium": "B", "hard": "A"} | |||
easy_no_69 | C | [['scale', 0.5], ['scale', 2.0], ['scale', 0.5], ['scale', 2.0]] | easy | {"instance_id": 69, "shape_A": {"name": "square", "facecolor": [0.4511476108676017, 0.857209865492535, 0.8607037528311315], "edgecolor": "black", "center": [0, 0], "size": 32.309718727443496}, "shape_B": {"name": "hexagon", "facecolor": [0.8823053254126082, 0.797339506510432, 0.884744291709474], "edgecolor": "black", "center": [0, 0], "size": 30.454170547468703}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_69.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_69.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_69.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_69.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_69.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_69.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_69.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_69.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_69.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_69.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_69.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_69.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_69.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_69.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_69.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_69.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_69.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_69.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_69.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_69.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_69.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_69.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_69.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_69.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "C", "medium": "D", "hard": "A"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the hexagon, making it smaller. <shapeB_step_0>\n- Increase the size of the hexagon, making it larger. <shapeB_step_1>\n- Reduce the size of the hexagon, making it smaller. <shapeB_step_2>\n- Increase the size of the hexagon, 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_70 | D | [['rotate', -30], ['rotate', 30], ['translate', [0, -10]], ['scale', 0.5]] | easy | {"instance_id": 70, "shape_A": {"name": "square", "facecolor": [0.3697949339715175, 0.46690448208422963, 0.7277642070532165], "edgecolor": "black", "center": [0, 0], "size": 32.36094068702788}, "shape_B": {"name": "rectangle", "facecolor": [0.9161376035945784, 0.5637154852981828, 0.2685629911674521], "edgecolor": "black", "center": [0, 0], "size": [34.286231743948704, 21.96513732473028]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_70.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_70.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_70.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_70.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_70.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_70.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_70.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_70.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_70.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_70.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_70.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_70.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_70.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_70.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_70.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_70.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_70.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_70.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_70.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_70.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_70.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_70.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_70.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_70.png", "instructions": [["rotate", -30], ["rotate", 30], ["translate", [0, -10]], ["scale", 0.5]], "correct_answer": {"easy": "D", "medium": "A", "hard": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by -30 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the rectangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the rectangle slightly downward. <shapeB_step_2>\n- Reduce the size of the rectangle, 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": "D", "medium": "A", "hard": "B"} | |||
easy_no_72 | A | [['shear', [0.7556294353300455, -0.5405563559835171]], ['translate', [-30, 0]], ['scale', 0.5], ['scale', 2.0]] | easy | {"instance_id": 72, "shape_A": {"name": "circle", "facecolor": [0.6538185930972589, 0.6466331531305921, 0.9722789040751423], "edgecolor": "black", "center": [0, 0], "size": 31.683870469400016}, "shape_B": {"name": "square", "facecolor": [0.4381541750525576, 0.28604637134381594, 0.4658162091932889], "edgecolor": "black", "center": [0, 0], "size": 34.36070322073593}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_72.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_72.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_72.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_72.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_72.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_72.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_72.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_72.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_72.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_72.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_72.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_72.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_72.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_72.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_72.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_72.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_72.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_72.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_72.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_72.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_72.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_72.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_72.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_72.png", "instructions": [["shear", [0.7556294353300455, -0.5405563559835171]], ["translate", [-30, 0]], ["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "A", "medium": "C", "hard": "A"}, "text_instructions": "N/A"} | {"easy": "A", "medium": "C", "hard": "A"} | |||
easy_no_73 | B | [['translate', [10, 10]], ['translate', [-30, -30]], ['scale', 0.5], ['translate', [-30, -30]]] | easy | {"instance_id": 73, "shape_A": {"name": "hexagon", "facecolor": [0.5309158523223519, 0.966010261427706, 0.041963631180719885], "edgecolor": "black", "center": [0, 0], "size": 34.31476931364757}, "shape_B": {"name": "circle", "facecolor": [0.7582494507266319, 0.28174742097118155, 0.2547224604700363], "edgecolor": "black", "center": [0, 0], "size": 34.03671208464404}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_73.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_73.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_73.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_73.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_73.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_73.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_73.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_73.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_73.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_73.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_73.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_73.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_73.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_73.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_73.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_73.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_73.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_73.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_73.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_73.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_73.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_73.png", "instructions": [["translate", [10, 10]], ["translate", [-30, -30]], ["scale", 0.5], ["translate", [-30, -30]]], "correct_answer": {"easy": "B", "medium": "C", "hard": "C"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Shift the circle a little to the right and slightly upward. <shapeB_step_0>\n- Shift the circle to the left by a significant amount and significantly downward. <shapeB_step_1>\n- Reduce the size of the circle, making it smaller. <shapeB_step_2>\n- Shift the circle 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": "B", "medium": "C", "hard": "C"} | |||
easy_no_74 | A | [['translate', [10, 10]], ['translate', [10, 0]], ['rotate', 60], ['scale', 0.5]] | easy | {"instance_id": 74, "shape_A": {"name": "pentagon", "facecolor": [0.30930388710515055, 0.30559470318314874, 0.13356521604338034], "edgecolor": "black", "center": [0, 0], "size": 32.40220771150857}, "shape_B": {"name": "rectangle", "facecolor": [0.538326406133575, 0.8697302001374976, 0.5434398682203618], "edgecolor": "black", "center": [0, 0], "size": [33.97306231365603, 20.888306817785548]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_74.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_74.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_74.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_74.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_74.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_74.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_74.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_74.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_74.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_74.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_74.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_74.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_74.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_74.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_74.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_74.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_74.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_74.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_74.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_74.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_74.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_74.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_74.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_74.png", "instructions": [["translate", [10, 10]], ["translate", [10, 0]], ["rotate", 60], ["scale", 0.5]], "correct_answer": {"easy": "A", "medium": "D", "hard": "C"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the rectangle a little to the right and slightly upward. <shapeB_step_0>\n- Shift the rectangle a little to the right. <shapeB_step_1>\n- Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_2>\n- Reduce the size of the rectangle, 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": "D", "hard": "C"} | |||
easy_no_75 | D | [['scale', 0.5], ['scale', 2.0], ['rotate', 30], ['scale', 0.5]] | easy | {"instance_id": 75, "shape_A": {"name": "ellipse", "facecolor": [0.9634750749344454, 0.913050955618361, 0.750042534076806], "edgecolor": "black", "center": [0, 0], "size": [31.005625423046535, 21.128044155124435]}, "shape_B": {"name": "pentagon", "facecolor": [0.24783215995172736, 0.5521499760799318, 0.9651322422696015], "edgecolor": "black", "center": [0, 0], "size": 30.49574675683032}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_75.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_75.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_75.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_75.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_75.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_75.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_75.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_75.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_75.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_75.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_75.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_75.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_75.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_75.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["rotate", 30], ["scale", 0.5]], "correct_answer": {"easy": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the pentagon, making it smaller. <shapeB_step_0>\n- Increase the size of the pentagon, making it larger. <shapeB_step_1>\n- Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_2>\n- Reduce the size of the pentagon, 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": "D"} | |||
easy_no_76 | B | [['rotate', -90], ['translate', [30, 30]], ['flip', 'vertical'], ['translate', [30, 30]]] | easy | {"instance_id": 76, "shape_A": {"name": "hexagon", "facecolor": [0.5610400059136648, 0.8768417117814366, 0.8238852156335884], "edgecolor": "black", "center": [0, 0], "size": 32.20553691481025}, "shape_B": {"name": "ellipse", "facecolor": [0.7241971452371864, 0.5828389255010497, 0.4380404216848057], "edgecolor": "black", "center": [0, 0], "size": [30.256710655210544, 20.717296118716042]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_76.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_76.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_76.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_76.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_76.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_76.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_76.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_76.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_76.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_76.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_76.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_76.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_76.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_76.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_76.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_76.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_76.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_76.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_76.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_76.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_76.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_76.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_76.png", "instructions": [["rotate", -90], ["translate", [30, 30]], ["flip", "vertical"], ["translate", [30, 30]]], "correct_answer": {"easy": "B", "medium": "D", "hard": "B"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Rotate the ellipse by -90 degrees clockwise around its center. <shapeB_step_0>\n- Shift the ellipse to the right by a significant amount and significantly upward. <shapeB_step_1>\n- Flip the ellipse as if there's a mirror along the vertical line x = 0. <shapeB_step_2>\n- Shift the ellipse to the right by a significant amount 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": "B"} | |||
easy_no_77 | C | [['translate', [30, 30]], ['scale', 0.5], ['translate', [30, -10]], ['scale', 2.0]] | easy | {"instance_id": 77, "shape_A": {"name": "circle", "facecolor": [0.7984791518649604, 0.06035364198919013, 0.007114400167996582], "edgecolor": "black", "center": [0, 0], "size": 31.899154271564534}, "shape_B": {"name": "pentagon", "facecolor": [0.35706835498450207, 0.789853907206809, 0.11569016502247742], "edgecolor": "black", "center": [0, 0], "size": 30.908553840850878}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_77.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_77.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_77.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_77.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_77.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_77.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_77.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_77.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_77.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_77.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_77.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_77.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_77.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_77.png", "instructions": [["translate", [30, 30]], ["scale", 0.5], ["translate", [30, -10]], ["scale", 2.0]], "correct_answer": {"easy": "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 and significantly upward. <shapeB_step_0>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>\n- Shift the pentagon to the right by a significant amount and slightly downward. <shapeB_step_2>\n- Increase the size of the pentagon, 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"} | |||
easy_no_81 | C | [['rotate', 60], ['rotate', 60], ['translate', [-30, 30]], ['translate', [30, -10]]] | easy | {"instance_id": 81, "shape_A": {"name": "triangle", "facecolor": [0.3633409247688758, 0.7528987667136076, 0.42840467418183525], "edgecolor": "black", "center": [0, 0], "size": 33.957292321609856}, "shape_B": {"name": "pentagon", "facecolor": [0.24564712652023157, 0.02704977539448472, 0.48304698351481634], "edgecolor": "black", "center": [0, 0], "size": 33.67447779265829}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_81.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_81.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_81.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_81.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_81.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_81.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_81.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_81.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_81.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_81.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_81.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_81.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_81.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_81.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_81.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_81.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_81.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_81.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_81.png", "instructions": [["rotate", 60], ["rotate", 60], ["translate", [-30, 30]], ["translate", [30, -10]]], "correct_answer": {"easy": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Rotate the pentagon by 60 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the pentagon to the left by a significant amount and significantly upward. <shapeB_step_2>\n- Shift the pentagon 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", "hard": "D"} | |||
easy_no_82 | D | [['translate', [-10, 10]], ['flip', 'horizontal'], ['rotate', -90], ['translate', [10, -30]]] | easy | {"instance_id": 82, "shape_A": {"name": "ellipse", "facecolor": [0.49338230066934163, 0.025672692387785356, 0.7497924116162136], "edgecolor": "black", "center": [0, 0], "size": [30.356462217361763, 22.35608501843642]}, "shape_B": {"name": "pentagon", "facecolor": [0.31521324058208666, 0.06568892242763169, 0.9686806267861648], "edgecolor": "black", "center": [0, 0], "size": 34.59459072679509}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_82.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_82.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_82.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_82.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_82.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_82.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_82.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_82.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_82.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_82.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_82.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_82.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_82.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_82.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_82.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_82.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_82.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_82.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_82.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_82.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_82.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_82.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_82.png", "instructions": [["translate", [-10, 10]], ["flip", "horizontal"], ["rotate", -90], ["translate", [10, -30]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon a little to the left and slightly upward. <shapeB_step_0>\n- Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_1>\n- Rotate the pentagon by -90 degrees clockwise around its center. <shapeB_step_2>\n- Shift the pentagon 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": "D", "medium": "C", "hard": "B"} | |||
easy_no_83 | C | [['translate', [0, -30]], ['scale', 0.5], ['flip', 'horizontal'], ['scale', 2.0]] | easy | {"instance_id": 83, "shape_A": {"name": "rectangle", "facecolor": [0.33814774939198466, 0.14069135521899234, 0.13666068195028946], "edgecolor": "black", "center": [0, 0], "size": [32.954948191541106, 20.746753993982747]}, "shape_B": {"name": "pentagon", "facecolor": [0.2789002976815036, 0.13830010751201072, 0.9615273572275224], "edgecolor": "black", "center": [0, 0], "size": 34.31008845881014}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_83.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_83.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_83.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_83.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_83.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_83.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_83.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_83.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_83.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_83.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_83.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_83.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_83.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_83.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_83.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_83.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_83.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_83.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_83.png", "instructions": [["translate", [0, -30]], ["scale", 0.5], ["flip", "horizontal"], ["scale", 2.0]], "correct_answer": {"easy": "C", "medium": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the pentagon significantly downward. <shapeB_step_0>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_1>\n- Flip the pentagon as if there's a mirror along the horizontal line y = 0. <shapeB_step_2>\n- Increase the size of the pentagon, 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"} | |||
easy_no_84 | A | [['translate', [0, 30]], ['rotate', 30], ['translate', [10, 30]], ['translate', [0, -10]]] | easy | {"instance_id": 84, "shape_A": {"name": "square", "facecolor": [0.8493065311177832, 0.443452568296118, 0.6997938528842318], "edgecolor": "black", "center": [0, 0], "size": 31.809069097850557}, "shape_B": {"name": "triangle", "facecolor": [0.6572032419339301, 0.642241544386433, 0.6813821575526279], "edgecolor": "black", "center": [0, 0], "size": 33.11428772467223}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_84.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_84.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_84.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_84.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_84.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_84.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_84.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_84.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_84.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_84.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_84.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_84.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_84.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_84.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_84.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_84.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_84.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_84.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_84.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_84.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_84.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_84.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_84.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_84.png", "instructions": [["translate", [0, 30]], ["rotate", 30], ["translate", [10, 30]], ["translate", [0, -10]]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle significantly upward. <shapeB_step_0>\n- Rotate the triangle by 30 degrees counter-clockwise around its center. <shapeB_step_1>\n- Shift the triangle a little to the right and significantly upward. <shapeB_step_2>\n- Shift the triangle 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": "A", "medium": "C", "hard": "D"} | |||
easy_no_85 | C | [['rotate', 30], ['translate', [10, -30]], ['scale', 0.5], ['scale', 2.0]] | easy | {"instance_id": 85, "shape_A": {"name": "square", "facecolor": [0.6179101723910024, 0.5377268422651053, 0.8737103408759843], "edgecolor": "black", "center": [0, 0], "size": 31.490815684735907}, "shape_B": {"name": "pentagon", "facecolor": [0.2319025309339372, 0.7721511753146233, 0.7256292317526398], "edgecolor": "black", "center": [0, 0], "size": 32.530159602385204}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_85.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_85.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_85.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_85.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_85.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_85.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_85.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_85.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_85.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_85.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_85.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_85.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_85.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_85.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_85.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_85.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_85.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_85.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_85.png", "instructions": [["rotate", 30], ["translate", [10, -30]], ["scale", 0.5], ["scale", 2.0]], "correct_answer": {"easy": "C", "medium": "B"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by 30 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the pentagon a little to the right and significantly downward. <shapeB_step_1>\n- Reduce the size of the pentagon, making it smaller. <shapeB_step_2>\n- Increase the size of the pentagon, 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"} | |||
easy_no_86 | D | [['scale', 0.5], ['scale', 2.0], ['scale', 0.5], ['translate', [10, 30]]] | easy | {"instance_id": 86, "shape_A": {"name": "circle", "facecolor": [0.8102398185681048, 0.9507555690155122, 0.24751721648324576], "edgecolor": "black", "center": [0, 0], "size": 34.07037061946525}, "shape_B": {"name": "ellipse", "facecolor": [0.6218304594747551, 0.8303774910573165, 0.35621138218615833], "edgecolor": "black", "center": [0, 0], "size": [34.80220590374269, 21.84865973098331]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_86.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_86.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_86.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_86.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_86.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_86.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_86.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_86.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_86.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_86.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_86.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_86.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_86.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_86.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_86.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_86.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_86.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_86.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_86.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_86.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_86.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_86.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_86.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_86.png", "instructions": [["scale", 0.5], ["scale", 2.0], ["scale", 0.5], ["translate", [10, 30]]], "correct_answer": {"easy": "D", "medium": "C", "hard": "D"}, "text_instructions": "\n Imagine transforming a ellipse step by step. <shapeB_image> Follow these changes:\n\n - Reduce the size of the ellipse, making it smaller. <shapeB_step_0>\n- Increase the size of the ellipse, making it larger. <shapeB_step_1>\n- Reduce the size of the ellipse, making it smaller. <shapeB_step_2>\n- Shift the ellipse a little to the right 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": "D", "medium": "C", "hard": "D"} | |||
easy_no_87 | A | [['translate', [-10, -30]], ['translate', [10, -10]], ['flip', 'horizontal'], ['translate', [-30, 10]]] | easy | {"instance_id": 87, "shape_A": {"name": "ellipse", "facecolor": [0.06138340901850858, 0.47805536214615596, 0.9843698715515421], "edgecolor": "black", "center": [0, 0], "size": [32.47756198480748, 21.016390877846817]}, "shape_B": {"name": "hexagon", "facecolor": [0.09616836522268846, 0.8373334328771487, 0.928142656323897], "edgecolor": "black", "center": [0, 0], "size": 30.676157950710166}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_87.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_87.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_87.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_87.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_87.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_87.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_87.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_87.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_87.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_87.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_87.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_87.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_87.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_87.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_87.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_87.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_87.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_87.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_87.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_87.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_87.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_87.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_87.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_87.png", "instructions": [["translate", [-10, -30]], ["translate", [10, -10]], ["flip", "horizontal"], ["translate", [-30, 10]]], "correct_answer": {"easy": "A", "medium": "D", "hard": "D"}, "text_instructions": "\n Imagine transforming a hexagon step by step. <shapeB_image> Follow these changes:\n\n - Shift the hexagon a little to the left and significantly downward. <shapeB_step_0>\n- Shift the hexagon a little to the right and slightly downward. <shapeB_step_1>\n- Flip the hexagon as if there's a mirror along the horizontal line y = 0. <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": "A", "medium": "D", "hard": "D"} | |||
easy_no_88 | C | [['translate', [-10, 30]], ['shear', [0.6050675379607382, -0.5436539445366606]], ['translate', [-30, 0]], ['shear', [-0.9405974920683702, 0.7059878847851264]]] | easy | {"instance_id": 88, "shape_A": {"name": "circle", "facecolor": [0.9684146392209191, 0.9804654852504343, 0.4118500605909382], "edgecolor": "black", "center": [0, 0], "size": 30.775115947570967}, "shape_B": {"name": "rectangle", "facecolor": [0.971995918484084, 0.759696275743027, 0.48586147379558975], "edgecolor": "black", "center": [0, 0], "size": [31.388589980864616, 21.633710781720588]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_88.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_88.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_88.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_88.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_88.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_88.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_88.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_88.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_88.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_88.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_88.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_88.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_88.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_88.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_88.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_88.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_88.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_88.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_88.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_88.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_88.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_88.png", "instructions": [["translate", [-10, 30]], ["shear", [0.6050675379607382, -0.5436539445366606]], ["translate", [-30, 0]], ["shear", [-0.9405974920683702, 0.7059878847851264]]], "correct_answer": {"easy": "C", "medium": "B", "hard": "A"}, "text_instructions": "N/A"} | {"easy": "C", "medium": "B", "hard": "A"} | |||
easy_no_89 | C | [['rotate', 30], ['shear', [0.12619918300200617, -0.2423527387537614]], ['scale', 0.5], ['translate', [10, -10]]] | easy | {"instance_id": 89, "shape_A": {"name": "pentagon", "facecolor": [0.7667923572056721, 0.27390666365635774, 0.4543692000913474], "edgecolor": "black", "center": [0, 0], "size": 32.292679447002286}, "shape_B": {"name": "ellipse", "facecolor": [0.6753121181144245, 0.24038828718622496, 0.14083860740776455], "edgecolor": "black", "center": [0, 0], "size": [33.0017629306023, 21.638140810079022]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_89.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_89.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_89.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_89.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_89.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_89.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_89.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_89.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_89.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_89.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_89.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_89.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_89.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_89.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_89.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_89.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_89.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_89.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_89.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_89.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_89.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_89.png", "instructions": [["rotate", 30], ["shear", [0.12619918300200617, -0.2423527387537614]], ["scale", 0.5], ["translate", [10, -10]]], "correct_answer": {"easy": "C", "medium": "C", "hard": "A"}, "text_instructions": "N/A"} | {"easy": "C", "medium": "C", "hard": "A"} | |||
easy_no_90 | D | [['translate', [30, 0]], ['scale', 0.5], ['translate', [-30, 30]], ['translate', [-30, -10]]] | easy | {"instance_id": 90, "shape_A": {"name": "hexagon", "facecolor": [0.7971535751324983, 0.6249475781610169, 0.15587966242466433], "edgecolor": "black", "center": [0, 0], "size": 31.23037219552261}, "shape_B": {"name": "triangle", "facecolor": [0.5537743202339153, 0.8213668890319258, 0.6480029919829381], "edgecolor": "black", "center": [0, 0], "size": 34.12952816031215}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_90.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_90.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_90.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_90.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_90.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_90.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_90.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_90.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_90.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_90.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_90.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_90.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_90.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_90.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_90.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_90.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_90.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_90.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_90.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_90.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_90.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_90.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_90.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_90.png", "instructions": [["translate", [30, 0]], ["scale", 0.5], ["translate", [-30, 30]], ["translate", [-30, -10]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a triangle step by step. <shapeB_image> Follow these changes:\n\n - Shift the triangle to the right by a significant amount. <shapeB_step_0>\n- Reduce the size of the triangle, making it smaller. <shapeB_step_1>\n- Shift the triangle to the left by a significant amount and significantly upward. <shapeB_step_2>\n- Shift the triangle to the left 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": "D", "medium": "A", "hard": "D"} | |||
easy_no_91 | A | [['translate', [30, 30]], ['translate', [-10, 0]], ['scale', 0.5], ['shear', [0.4622731787090142, -0.687879984178908]]] | easy | {"instance_id": 91, "shape_A": {"name": "circle", "facecolor": [0.584306789767937, 0.2155108620032714, 0.6848148172895291], "edgecolor": "black", "center": [0, 0], "size": 31.724444589483205}, "shape_B": {"name": "square", "facecolor": [0.269290885824507, 0.13848304057828498, 0.13099041264897604], "edgecolor": "black", "center": [0, 0], "size": 32.4637331337869}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_91.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_91.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_91.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_91.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_91.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_91.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_91.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_91.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_91.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_91.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_91.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_91.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_91.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_91.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_91.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_91.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_91.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_91.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_91.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_91.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_91.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_91.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_91.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_91.png", "instructions": [["translate", [30, 30]], ["translate", [-10, 0]], ["scale", 0.5], ["shear", [0.4622731787090142, -0.687879984178908]]], "correct_answer": {"easy": "A", "medium": "B", "hard": "A"}, "text_instructions": "N/A"} | {"easy": "A", "medium": "B", "hard": "A"} | |||
easy_no_92 | A | [['shear', [-0.8686542290972115, 0.7395702606690588]], ['translate', [-10, 0]], ['flip', 'vertical'], ['rotate', 30]] | easy | {"instance_id": 92, "shape_A": {"name": "hexagon", "facecolor": [0.7017267354043625, 0.4359314523146214, 0.10670309041301629], "edgecolor": "black", "center": [0, 0], "size": 33.679215785593044}, "shape_B": {"name": "square", "facecolor": [0.2622640359110511, 0.09121048422207378, 0.9271414027228834], "edgecolor": "black", "center": [0, 0], "size": 32.11197566661323}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_92.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_92.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_92.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_92.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_92.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_92.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_92.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_92.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_92.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_92.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_92.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_92.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_92.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_92.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_92.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_92.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_92.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_92.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_92.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_92.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_92.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_92.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_92.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_92.png", "instructions": [["shear", [-0.8686542290972115, 0.7395702606690588]], ["translate", [-10, 0]], ["flip", "vertical"], ["rotate", 30]], "correct_answer": {"easy": "A", "medium": "C", "hard": "D"}, "text_instructions": "N/A"} | {"easy": "A", "medium": "C", "hard": "D"} | |||
easy_no_94 | D | [['rotate', -30], ['scale', 0.5], ['translate', [30, 0]], ['rotate', 30]] | easy | {"instance_id": 94, "shape_A": {"name": "hexagon", "facecolor": [0.1970737299350207, 0.17221533445839554, 0.9858115967970958], "edgecolor": "black", "center": [0, 0], "size": 33.94234489359282}, "shape_B": {"name": "circle", "facecolor": [0.6905088226289784, 0.8665205876199301, 0.03167376187466875], "edgecolor": "black", "center": [0, 0], "size": 32.337202818946416}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_94.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_94.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_94.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_94.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_94.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_94.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_94.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_94.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_94.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_94.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_94.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_94.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_94.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_94.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_94.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_94.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_94.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_94.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_94.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_B_hard_94.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_94.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_94.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_94.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_94.png", "instructions": [["rotate", -30], ["scale", 0.5], ["translate", [30, 0]], ["rotate", 30]], "correct_answer": {"easy": "D", "medium": "B", "hard": "B"}, "text_instructions": "\n Imagine transforming a circle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the circle by -30 degrees clockwise around its center. <shapeB_step_0>\n- Reduce the size of the circle, making it smaller. <shapeB_step_1>\n- Shift the circle to the right by a significant amount. <shapeB_step_2>\n- Rotate the circle 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": "D", "medium": "B", "hard": "B"} | |||
easy_no_95 | C | [['rotate', -90], ['rotate', -90], ['translate', [0, -10]], ['rotate', -60]] | easy | {"instance_id": 95, "shape_A": {"name": "rectangle", "facecolor": [0.5092336320246957, 0.8418529065501743, 0.14125458661696566], "edgecolor": "black", "center": [0, 0], "size": [32.42023192770438, 23.864380271244983]}, "shape_B": {"name": "pentagon", "facecolor": [0.8998925840520561, 0.7868462377955243, 0.44265358312302217], "edgecolor": "black", "center": [0, 0], "size": 32.210354605446355}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_95.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_95.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_95.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_95.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_95.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_95.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_95.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_95.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_95.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_95.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_95.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_C_easy_95.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_95.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_95.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_95.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_95.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_95.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_95.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_95.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_95.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_95.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_95.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_95.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_95.png", "instructions": [["rotate", -90], ["rotate", -90], ["translate", [0, -10]], ["rotate", -60]], "correct_answer": {"easy": "C", "medium": "A", "hard": "D"}, "text_instructions": "\n Imagine transforming a pentagon step by step. <shapeB_image> Follow these changes:\n\n - Rotate the pentagon by -90 degrees clockwise around its center. <shapeB_step_0>\n- Rotate the pentagon by -90 degrees clockwise around its center. <shapeB_step_1>\n- Shift the pentagon slightly downward. <shapeB_step_2>\n- Rotate the pentagon 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": "A", "hard": "D"} | |||
easy_no_96 | D | [['shear', [0.6860854622938457, 0.8064570568305267]], ['scale', 0.5], ['translate', [-30, -30]], ['translate', [30, 10]]] | easy | {"instance_id": 96, "shape_A": {"name": "circle", "facecolor": [0.24267261085079328, 0.6725553807865247, 0.6013765957747187], "edgecolor": "black", "center": [0, 0], "size": 31.61078321848794}, "shape_B": {"name": "hexagon", "facecolor": [0.15314859510830847, 0.8506113982085262, 0.9991905222275694], "edgecolor": "black", "center": [0, 0], "size": 30.921280582348675}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_96.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_96.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_96.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_96.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_96.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_96.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_96.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_96.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_96.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_96.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_96.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_96.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_96.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_96.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_96.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_C_medium_96.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_96.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_96.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_96.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_C_hard_96.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_96.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_96.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_96.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_96.png", "instructions": [["shear", [0.6860854622938457, 0.8064570568305267]], ["scale", 0.5], ["translate", [-30, -30]], ["translate", [30, 10]]], "correct_answer": {"easy": "D", "medium": "D", "hard": "C"}, "text_instructions": "N/A"} | {"easy": "D", "medium": "D", "hard": "C"} | |||
easy_no_97 | D | [['rotate', 90], ['rotate', 60], ['shear', [0.6436182674750912, -0.8588017519241369]], ['translate', [30, 0]]] | easy | {"instance_id": 97, "shape_A": {"name": "rectangle", "facecolor": [0.891560089173005, 0.09987804031978176, 0.7909026690572789], "edgecolor": "black", "center": [0, 0], "size": [32.056763706767455, 23.50775867307356]}, "shape_B": {"name": "triangle", "facecolor": [0.29018927565556374, 0.16819589060940499, 0.760779239028871], "edgecolor": "black", "center": [0, 0], "size": 34.68989953737189}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_97.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_97.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_97.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_97.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_97.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_97.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_97.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_97.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_97.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_97.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_97.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_D_easy_97.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_97.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_97.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_97.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_97.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_97.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_97.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_97.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/distractor_D_hard_97.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_97.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_97.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_97.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_97.png", "instructions": [["rotate", 90], ["rotate", 60], ["shear", [0.6436182674750912, -0.8588017519241369]], ["translate", [30, 0]]], "correct_answer": {"easy": "D", "medium": "A", "hard": "D"}, "text_instructions": "N/A"} | {"easy": "D", "medium": "A", "hard": "D"} | |||
easy_no_98 | C | [['rotate', 30], ['rotate', -30], ['translate', [30, 10]], ['rotate', -30]] | easy | {"instance_id": 98, "shape_A": {"name": "ellipse", "facecolor": [0.5693182232001424, 0.8066686012171741, 0.6050491472603716], "edgecolor": "black", "center": [0, 0], "size": [30.188177926913728, 22.959589354625706]}, "shape_B": {"name": "triangle", "facecolor": [0.4796042207146286, 0.6315552731277705, 0.00825673527075843], "edgecolor": "black", "center": [0, 0], "size": 31.007045768370116}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_98.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_98.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_98.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_98.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_98.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_98.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_98.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_98.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_98.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_98.png", "hard": "output_dir/2d_visual_analogy_4_steps/answer_choices_hard_98.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/distractor_B_easy_98.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_98.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_98.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_98.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_B_medium_98.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_98.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_98.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_medium_98.png"], "hard": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_98.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_hard_98.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_hard_98.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_hard_98.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_98.png", "instructions": [["rotate", 30], ["rotate", -30], ["translate", [30, 10]], ["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 - Rotate the triangle by 30 degrees counter-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 to the right by a significant amount and slightly 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": "C", "medium": "B", "hard": "A"} | |||
easy_no_99 | A | [['rotate', 60], ['translate', [10, 0]], ['translate', [0, -30]], ['translate', [30, 0]]] | easy | {"instance_id": 99, "shape_A": {"name": "ellipse", "facecolor": [0.37078378677177737, 0.6796275334185282, 0.08877726999504698], "edgecolor": "black", "center": [0, 0], "size": [32.06738218256057, 20.67952433184252]}, "shape_B": {"name": "rectangle", "facecolor": [0.7387495317960592, 0.24460515553227924, 0.10495160175276519], "edgecolor": "black", "center": [0, 0], "size": [32.30492042234357, 24.430709720701262]}, "individual_shape_B_transformations": ["output_dir/2d_visual_analogy_4_steps/shape_B_99.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step0_99.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step1_99.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step2_99.png", "output_dir/2d_visual_analogy_4_steps/shape_B_step3_99.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_99.png", "composed_B_partial": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_partial_99.png", "composed_B_all": "output_dir/2d_visual_analogy_4_steps/composed_transformation_B_all_99.png", "answer_choices": {"easy": "output_dir/2d_visual_analogy_4_steps/answer_choices_easy_99.png", "medium": "output_dir/2d_visual_analogy_4_steps/answer_choices_medium_99.png"}, "individual_answer_choices_path": {"easy": ["output_dir/2d_visual_analogy_4_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_easy_99.png", "output_dir/2d_visual_analogy_4_steps/distractor_D_easy_99.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_easy_99.png"], "medium": ["output_dir/2d_visual_analogy_4_steps/distractor_D_medium_99.png", "output_dir/2d_visual_analogy_4_steps/shape_B_prime_99.png", "output_dir/2d_visual_analogy_4_steps/distractor_C_medium_99.png", "output_dir/2d_visual_analogy_4_steps/distractor_B_medium_99.png"]}, "question_image": "output_dir/2d_visual_analogy_4_steps/composed_transformation_A_99.png", "instructions": [["rotate", 60], ["translate", [10, 0]], ["translate", [0, -30]], ["translate", [30, 0]]], "correct_answer": {"easy": "A", "medium": "B"}, "text_instructions": "\n Imagine transforming a rectangle step by step. <shapeB_image> Follow these changes:\n\n - Rotate the rectangle by 60 degrees counter-clockwise around its center. <shapeB_step_0>\n- Shift the rectangle a little to the right. <shapeB_step_1>\n- Shift the rectangle significantly downward. <shapeB_step_2>\n- Shift the rectangle to the right by a significant amount. <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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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_partial_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"} |
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