| {"id": "angle_001", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 25°.", "original_id": 1, "source_topic": "angle"} | |
| {"id": "angle_002", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 35°.", "original_id": 2, "source_topic": "angle"} | |
| {"id": "angle_003", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 40°.", "original_id": 3, "source_topic": "angle"} | |
| {"id": "angle_004", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 45°.", "original_id": 4, "source_topic": "angle"} | |
| {"id": "angle_005", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 50°.", "original_id": 5, "source_topic": "angle"} | |
| {"id": "angle_006", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 60°.", "original_id": 6, "source_topic": "angle"} | |
| {"id": "angle_007", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 65°.", "original_id": 7, "source_topic": "angle"} | |
| {"id": "angle_008", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 70°.", "original_id": 8, "source_topic": "angle"} | |
| {"id": "angle_009", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 75°.", "original_id": 9, "source_topic": "angle"} | |
| {"id": "angle_010", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one acute angle of 80°.", "original_id": 10, "source_topic": "angle"} | |
| {"id": "angle_011", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one right angle (90°). Mark it with the standard square symbol.", "original_id": 11, "source_topic": "angle"} | |
| {"id": "angle_012", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one obtuse angle of 100°.", "original_id": 12, "source_topic": "angle"} | |
| {"id": "angle_013", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one obtuse angle of 110°.", "original_id": 13, "source_topic": "angle"} | |
| {"id": "angle_014", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one obtuse angle of 120°.", "original_id": 14, "source_topic": "angle"} | |
| {"id": "angle_015", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one obtuse angle of 135°.", "original_id": 15, "source_topic": "angle"} | |
| {"id": "angle_016", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one obtuse angle of 150°.", "original_id": 16, "source_topic": "angle"} | |
| {"id": "angle_017", "split": "clean_scene", "topic": "angle", "subtopic": "angle_measurement", "prompt": "Draw one straight angle (180°). Show it as a straight horizontal line with a semicircular arc above it.", "original_id": 17, "source_topic": "angle"} | |
| {"id": "angle_018", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 30° and 60°. The two outer rays are perpendicular.", "original_id": 21, "source_topic": "angle"} | |
| {"id": "angle_019", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 45° and 45°. The two outer rays form a right angle.", "original_id": 22, "source_topic": "angle"} | |
| {"id": "angle_020", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 20° and 70°. The two outer rays form a right angle.", "original_id": 23, "source_topic": "angle"} | |
| {"id": "angle_021", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 55° and 35°.", "original_id": 24, "source_topic": "angle"} | |
| {"id": "angle_022", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 72° and 18°.", "original_id": 25, "source_topic": "angle"} | |
| {"id": "angle_023", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 15° and 75°.", "original_id": 26, "source_topic": "angle"} | |
| {"id": "angle_024", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 40° and 50°.", "original_id": 27, "source_topic": "angle"} | |
| {"id": "angle_025", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 33° and 57°.", "original_id": 28, "source_topic": "angle"} | |
| {"id": "angle_026", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 25° and 65°.", "original_id": 29, "source_topic": "angle"} | |
| {"id": "angle_027", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles of 48° and 42°.", "original_id": 30, "source_topic": "angle"} | |
| {"id": "angle_028", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles on a straight line: the first is 70° and the second is 110°.", "original_id": 31, "source_topic": "angle"} | |
| {"id": "angle_029", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles on a straight line: the first is 45° and the second is 135°.", "original_id": 32, "source_topic": "angle"} | |
| {"id": "angle_030", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles on a straight line: the first is 60° and the second is 120°.", "original_id": 33, "source_topic": "angle"} | |
| {"id": "angle_031", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles on a straight line: the first is 30° and the second is 150°.", "original_id": 34, "source_topic": "angle"} | |
| {"id": "angle_032", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles on a straight line: the first is 80° and the second is 100°.", "original_id": 35, "source_topic": "angle"} | |
| {"id": "angle_033", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles on a straight line of 90° and 90°. The middle ray is perpendicular to the line.", "original_id": 36, "source_topic": "angle"} | |
| {"id": "angle_034", "split": "clean_scene", "topic": "angle", "subtopic": "angle_relations", "prompt": "Draw two adjacent angles on a straight line: the first is 55° and the second is 125°.", "original_id": 37, "source_topic": "angle"} | |
| {"id": "angle_035", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 90°, 90°, 90°, and 90°. Mark each right angle with the square symbol.", "original_id": 61, "source_topic": "angle"} | |
| {"id": "angle_036", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 30°, 60°, 90°, and 180°.", "original_id": 62, "source_topic": "angle"} | |
| {"id": "angle_037", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 45°, 45°, 135°, and 135°.", "original_id": 63, "source_topic": "angle"} | |
| {"id": "angle_038", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 50°, 70°, 100°, and 140°.", "original_id": 64, "source_topic": "angle"} | |
| {"id": "angle_039", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 80°, 100°, 80°, and 100°.", "original_id": 65, "source_topic": "angle"} | |
| {"id": "angle_040", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 60°, 90°, 120°, and 90°.", "original_id": 66, "source_topic": "angle"} | |
| {"id": "angle_041", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 40°, 50°, 110°, and 160°.", "original_id": 67, "source_topic": "angle"} | |
| {"id": "angle_042", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 75°, 75°, 105°, and 105°.", "original_id": 68, "source_topic": "angle"} | |
| {"id": "angle_043", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 30°, 60°, 120°, and 150°.", "original_id": 69, "source_topic": "angle"} | |
| {"id": "angle_044", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 55°, 65°, 115°, and 125°.", "original_id": 70, "source_topic": "angle"} | |
| {"id": "angle_045", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles alternate between 45° and 135°: 45°, 135°, 45°, 135°.", "original_id": 71, "source_topic": "angle"} | |
| {"id": "angle_046", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 70°, 50°, 70°, and 170°.", "original_id": 72, "source_topic": "angle"} | |
| {"id": "angle_047", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 36°, 72°, 108°, and 144°.", "original_id": 73, "source_topic": "angle"} | |
| {"id": "angle_048", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 20°, 40°, 60°, and 240°.", "original_id": 74, "source_topic": "angle"} | |
| {"id": "angle_049", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 90°, 60°, 90°, and 120°.", "original_id": 75, "source_topic": "angle"} | |
| {"id": "angle_050", "split": "clean_scene", "topic": "angle", "subtopic": "angle_construction", "prompt": "Draw four rays from one vertex. The four consecutive angles are 60°, 80°, 100°, and 120°.", "original_id": 76, "source_topic": "angle"} | |
| {"id": "counting_001", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 17 oranges.", "original_id": 13, "source_topic": "counting"} | |
| {"id": "counting_002", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 18 oranges.", "original_id": 14, "source_topic": "counting"} | |
| {"id": "counting_003", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 19 oranges.", "original_id": 15, "source_topic": "counting"} | |
| {"id": "counting_004", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 20 oranges.", "original_id": 16, "source_topic": "counting"} | |
| {"id": "counting_005", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 21 oranges.", "original_id": 17, "source_topic": "counting"} | |
| {"id": "counting_006", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 22 oranges.", "original_id": 18, "source_topic": "counting"} | |
| {"id": "counting_007", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 23 broccoli.", "original_id": 19, "source_topic": "counting"} | |
| {"id": "counting_008", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 24 broccoli.", "original_id": 20, "source_topic": "counting"} | |
| {"id": "counting_009", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 25 broccoli.", "original_id": 21, "source_topic": "counting"} | |
| {"id": "counting_010", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 6 broccoli.", "original_id": 22, "source_topic": "counting"} | |
| {"id": "counting_011", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 5 broccoli.", "original_id": 23, "source_topic": "counting"} | |
| {"id": "counting_012", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 8 carrots.", "original_id": 24, "source_topic": "counting"} | |
| {"id": "counting_013", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 7 carrots.", "original_id": 25, "source_topic": "counting"} | |
| {"id": "counting_014", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 10 carrots.", "original_id": 26, "source_topic": "counting"} | |
| {"id": "counting_015", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 9 carrots.", "original_id": 27, "source_topic": "counting"} | |
| {"id": "counting_016", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 12 carrots.", "original_id": 28, "source_topic": "counting"} | |
| {"id": "counting_017", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 11 carrots.", "original_id": 29, "source_topic": "counting"} | |
| {"id": "counting_018", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 14 carrots.", "original_id": 30, "source_topic": "counting"} | |
| {"id": "counting_019", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 20 oranges.", "original_id": 38, "source_topic": "counting"} | |
| {"id": "counting_020", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 22 broccoli.", "original_id": 39, "source_topic": "counting"} | |
| {"id": "counting_021", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 24 carrots.", "original_id": 40, "source_topic": "counting"} | |
| {"id": "counting_022", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 30 oranges.", "original_id": 43, "source_topic": "counting"} | |
| {"id": "counting_023", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 7 broccoli.", "original_id": 44, "source_topic": "counting"} | |
| {"id": "counting_024", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "An image containing exactly 9 carrots.", "original_id": 45, "source_topic": "counting"} | |
| {"id": "counting_025", "split": "clean_scene", "topic": "counting", "subtopic": "exact_counting", "prompt": "A pile of broccoli on a table. There are exactly 18 broccoli in the pile.", "original_id": 48, "source_topic": "counting"} | |
| {"id": "counting_026", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 5 red apples.", "original_id": 1, "source_topic": "counting"} | |
| {"id": "counting_027", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 6 red apples.", "original_id": 2, "source_topic": "counting"} | |
| {"id": "counting_028", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 7 red apples.", "original_id": 3, "source_topic": "counting"} | |
| {"id": "counting_029", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 8 red apples.", "original_id": 4, "source_topic": "counting"} | |
| {"id": "counting_030", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 9 red apples.", "original_id": 5, "source_topic": "counting"} | |
| {"id": "counting_031", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 10 red apples.", "original_id": 6, "source_topic": "counting"} | |
| {"id": "counting_032", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 11 green apples.", "original_id": 7, "source_topic": "counting"} | |
| {"id": "counting_033", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 12 green apples.", "original_id": 8, "source_topic": "counting"} | |
| {"id": "counting_034", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 13 green apples.", "original_id": 9, "source_topic": "counting"} | |
| {"id": "counting_035", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 14 green apples.", "original_id": 10, "source_topic": "counting"} | |
| {"id": "counting_036", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 15 green apples.", "original_id": 11, "source_topic": "counting"} | |
| {"id": "counting_037", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 16 green apples.", "original_id": 12, "source_topic": "counting"} | |
| {"id": "counting_038", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "A realistic orchard scene with three apple trees at different depths. Count only the fully visible red apples hanging on branches of the center tree: there must be exactly 17. Other trees may contain apples of non-red colors only. No baskets, no fallen fruit.", "original_id": 31, "source_topic": "counting"} | |
| {"id": "counting_039", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "A realistic top-down photo of a wooden table containing many objects: red apples, red tomatoes, and red balls. Include exactly 19 red apples and at least 10 non-apple red objects to create distractors. Apples must remain clearly identifiable by stems and natural texture.", "original_id": 32, "source_topic": "counting"} | |
| {"id": "counting_040", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "A realistic market stall scene with apples under mixed warm-cool lighting and partial occlusions by leaves and price tags. Ensure exactly 21 red apples are visible (partially visible counts if clearly identifiable as apples). Avoid any mirrored reflections that duplicate apples.", "original_id": 33, "source_topic": "counting"} | |
| {"id": "counting_041", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "A realistic apple tree in light rain with water droplets and dense foliage. Exactly 23 red apples should be present, with varied sizes due to perspective, but each apple boundary should remain separable for counting. No additional red fruits.", "original_id": 34, "source_topic": "counting"} | |
| {"id": "counting_042", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "A realistic harvest scene with one large apple tree and complex branch overlap. Place exactly 25 red apples across near, mid, and far branches. Introduce mild motion blur on leaves only, while apples stay sharp enough to count unambiguously.", "original_id": 35, "source_topic": "counting"} | |
| {"id": "counting_043", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 16 red apples.", "original_id": 36, "source_topic": "counting"} | |
| {"id": "counting_044", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 18 green apples.", "original_id": 37, "source_topic": "counting"} | |
| {"id": "counting_045", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 26 red apples.", "original_id": 41, "source_topic": "counting"} | |
| {"id": "counting_046", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image containing exactly 28 green apples.", "original_id": 42, "source_topic": "counting"} | |
| {"id": "counting_047", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "A basket containing red apples and green apples. There are exactly 13 red apples.", "original_id": 46, "source_topic": "counting"} | |
| {"id": "counting_048", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "A market stand with oranges stacked in a display. Exactly 15 oranges are visible.", "original_id": 47, "source_topic": "counting"} | |
| {"id": "counting_049", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "A fruit display with oranges arranged in rows. Exactly 24 oranges are present.", "original_id": 50, "source_topic": "counting"} | |
| {"id": "counting_050", "split": "clean_scene", "topic": "counting", "subtopic": "attribute_based_counting", "prompt": "An image with red apples and green apples. There are exactly 6 red apples and 9 green apples. Count only the red ones.", "original_id": 51, "source_topic": "counting"} | |
| {"id": "fraction_001", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A horizontal progress bar where the filled green portion is exactly 50% of the total length.", "original_id": 1, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_002", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A horizontal progress bar where the filled blue portion is exactly 25% of the total length.", "original_id": 2, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_003", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A horizontal progress bar where the filled red portion is exactly 75% of the total length.", "original_id": 3, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_004", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A rectangular bar: the left 63% is solid black, the right 37% is solid white.", "original_id": 9, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_005", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A rectangular bar: the left 40% is solid black, the right 60% is solid white.", "original_id": 10, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_006", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A rectangular bar: the left 85% is solid black, the right 15% is solid white.", "original_id": 11, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_007", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A laboratory beaker filled with blue liquid to exactly 1/3 of its height.", "original_id": 17, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_008", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A laboratory beaker filled with blue liquid to exactly 1/2 of its height.", "original_id": 18, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_009", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A laboratory beaker filled with blue liquid to exactly 3/4 of its height.", "original_id": 19, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_010", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A pie chart with two sectors. The smaller red sector is exactly 1/7 of the circle.", "original_id": 26, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_011", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A pie chart with two sectors. The smaller blue sector is exactly 1/5 of the circle.", "original_id": 27, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_012", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A pie chart with two sectors. The smaller yellow sector is exactly 2/9 of the circle.", "original_id": 28, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_013", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A 3x3 square grid where exactly 4 squares are colored green and 5 are white.", "original_id": 65, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_014", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A 3x3 square grid where exactly 2 squares are colored red and 7 are white.", "original_id": 66, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_015", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A 3x3 square grid where exactly 5 squares are colored blue and 4 are yellow.", "original_id": 69, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_016", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A 10x10 square grid where exactly 27 squares are colored blue.", "original_id": 73, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_017", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A 10x10 square grid where exactly 12 squares are colored green.", "original_id": 74, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_018", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A 10x10 square grid where exactly 58 squares are colored red.", "original_id": 75, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_019", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A single solid black rectangle with an aspect ratio of 3:1 (width is three times the height).", "original_id": 34, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_020", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A single solid black rectangle with an aspect ratio of 2:1 (width is twice the height).", "original_id": 35, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_021", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A single solid black rectangle with an aspect ratio of 5:2 (width is 2.5 times the height).", "original_id": 36, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_022", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "Two squares side-by-side: the red square's area is exactly twice the area of the blue square.", "original_id": 42, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_023", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "Two squares side-by-side: the green square's area is exactly three times the area of the purple square.", "original_id": 43, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_024", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "Two squares side-by-side: the black square's area is exactly four times the area of the yellow square.", "original_id": 44, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_025", "split": "clean_scene", "topic": "fraction", "subtopic": "proportion_mapping", "prompt": "A donut chart where the thickness of the ring is 20% of the total diameter.", "original_id": 50, "source_topic": "proportion_mapping"} | |
| {"id": "fraction_026", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "Two identical horizontal bars stacked vertically. Top bar has exactly 11/16 filled in green; bottom bar has exactly 13/20 filled in orange. Segment both bars into equal subdivisions that match each denominator exactly.", "original_id": 58, "source_topic": "fraction_grids"} | |
| {"id": "fraction_027", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A circular pie chart divided into 24 equal slices, with exactly 17 slices filled in red and the rest white. Keep slice boundaries crisp and equal-width from center to rim.", "original_id": 59, "source_topic": "fraction_grids"} | |
| {"id": "fraction_028", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A circular pie chart divided into 4 equal slices, with exactly 1 slice filled in red and the rest grey.", "original_id": 60, "source_topic": "fraction_grids"} | |
| {"id": "fraction_029", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A circular pie chart divided into 8 equal slices, with exactly 3 slices filled in blue and the rest yellow.", "original_id": 61, "source_topic": "fraction_grids"} | |
| {"id": "fraction_030", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A circular pie chart divided into 6 equal slices, with exactly 5 slices filled in green and the rest pink.", "original_id": 62, "source_topic": "fraction_grids"} | |
| {"id": "fraction_031", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A circular pie chart divided into 5 equal slices, with exactly 2 slices filled in yellow and the rest light blue.", "original_id": 63, "source_topic": "fraction_grids"} | |
| {"id": "fraction_032", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A circular pie chart divided into 10 equal slices, with exactly 7 slices filled in purple and the rest grey.", "original_id": 64, "source_topic": "fraction_grids"} | |
| {"id": "fraction_033", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 3x3 square grid where exactly 4 squares are colored green and 5 are white.", "original_id": 65, "source_topic": "fraction_grids"} | |
| {"id": "fraction_034", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 3x3 square grid where exactly 2 squares are colored red and 7 are white.", "original_id": 66, "source_topic": "fraction_grids"} | |
| {"id": "fraction_035", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 3x3 square grid where exactly 6 squares are colored blue and 3 are white.", "original_id": 67, "source_topic": "fraction_grids"} | |
| {"id": "fraction_036", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 3x3 square grid where exactly 1 square is colored red and 8 are grey.", "original_id": 68, "source_topic": "fraction_grids"} | |
| {"id": "fraction_037", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 3x3 square grid where exactly 5 squares are colored blue and 4 are yellow.", "original_id": 69, "source_topic": "fraction_grids"} | |
| {"id": "fraction_038", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 3x3 square grid where exactly 8 squares are colored green and 1 is pink.", "original_id": 70, "source_topic": "fraction_grids"} | |
| {"id": "fraction_039", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 3x3 square grid where exactly 3 squares are colored yellow and 6 are light blue.", "original_id": 71, "source_topic": "fraction_grids"} | |
| {"id": "fraction_040", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 3x3 square grid where exactly 7 squares are colored black and 2 are grey.", "original_id": 72, "source_topic": "fraction_grids"} | |
| {"id": "fraction_041", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 10x10 square grid where exactly 27 squares are colored blue.", "original_id": 73, "source_topic": "fraction_grids"} | |
| {"id": "fraction_042", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 10x10 square grid where exactly 12 squares are colored green.", "original_id": 74, "source_topic": "fraction_grids"} | |
| {"id": "fraction_043", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 10x10 square grid where exactly 58 squares are colored red.", "original_id": 75, "source_topic": "fraction_grids"} | |
| {"id": "fraction_044", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 10x10 square grid where exactly 50 squares are colored blue and the rest are grey.", "original_id": 76, "source_topic": "fraction_grids"} | |
| {"id": "fraction_045", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 10x10 square grid where exactly 10 squares are colored red and the rest are yellow.", "original_id": 77, "source_topic": "fraction_grids"} | |
| {"id": "fraction_046", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 10x10 square grid where exactly 90 squares are colored green and the rest are pink.", "original_id": 78, "source_topic": "fraction_grids"} | |
| {"id": "fraction_047", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 10x10 square grid where exactly 5 squares are colored yellow and the rest are light blue.", "original_id": 79, "source_topic": "fraction_grids"} | |
| {"id": "fraction_048", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 10x10 square grid where exactly 99 squares are colored black and the rest are grey.", "original_id": 80, "source_topic": "fraction_grids"} | |
| {"id": "fraction_049", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A rectangular grid of 9 columns by 7 rows (63 equal cells). Color exactly 40 cells blue and 23 cells light gray, with no merged cells and perfectly equal cell size.", "original_id": 81, "source_topic": "fraction_grids"} | |
| {"id": "fraction_050", "split": "clean_scene", "topic": "fraction", "subtopic": "fraction_grids", "prompt": "A 2x2 square grid where exactly 1 square is colored red and 3 are grey.", "original_id": 82, "source_topic": "fraction_grids"} | |
| {"id": "function_001", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = -3 over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 7, "source_topic": "function"} | |
| {"id": "function_002", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = 2 over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 29, "source_topic": "function"} | |
| {"id": "function_003", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = x over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 6, "source_topic": "function"} | |
| {"id": "function_004", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = -x over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 9, "source_topic": "function"} | |
| {"id": "function_005", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the line x = 4 over the y-range [-6, 6]. **Style Requirements**: The line must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 8, "source_topic": "function"} | |
| {"id": "function_006", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = x + 2 over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 10, "source_topic": "function"} | |
| {"id": "function_007", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = 3x + 1 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 26, "source_topic": "function"} | |
| {"id": "function_008", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = 2x - 3 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 20, "source_topic": "function"} | |
| {"id": "function_009", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = |x| over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 12, "source_topic": "function"} | |
| {"id": "function_010", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = |x - 3| over the interval x \\in [-2, 8]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -2, 0, 2, 4, 6, 8).", "original_id": 28, "source_topic": "function"} | |
| {"id": "function_011", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = x^2 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 11, "source_topic": "function"} | |
| {"id": "function_012", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = -x^2 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 27, "source_topic": "function"} | |
| {"id": "function_013", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = 4 - x^2 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 13, "source_topic": "function"} | |
| {"id": "function_014", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = x^2 - 2 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 30, "source_topic": "function"} | |
| {"id": "function_015", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = (x - 2)^2 - 3 over the interval x \\in [-2, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -2, 0, 2, 4, 6).", "original_id": 19, "source_topic": "function"} | |
| {"id": "function_016", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\sin(x) over the interval x \\in [-2\\pi, 2\\pi]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks should be evenly spaced even numbers (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 14, "source_topic": "function"} | |
| {"id": "function_017", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\ln(x - 1) over the interval x \\in [0, 8]. Clearly display the vertical asymptote at x = 1 as a **Red dashed line**. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., 0, 2, 4, 6, 8).", "original_id": 15, "source_topic": "function"} | |
| {"id": "function_018", "split": "clean_scene", "topic": "function", "subtopic": "piecewise_functions", "prompt": "Plot the piecewise function h(x) over the interval x \\in [-4, 4]: Segment 1 (-4 <= x < -1): y = -2; Segment 2 (-1 <= x < 2): y = x - 1; Segment 3 (2 <= x <= 4): y = 3. Use filled dots for included endpoints and hollow dots for excluded endpoints. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 25, "source_topic": "function"} | |
| {"id": "function_019", "split": "clean_scene", "topic": "function", "subtopic": "piecewise_functions", "prompt": "Plot the piecewise-defined function g(x), which consists of four segments, over the interval x \\in [-2\\pi, 2\\pi]: Segment 1 (-2\\pi \\le x < -\\pi): y = \\sin(x) (sine wave). Segment 2 (-\\pi \\le x < 0): y = \\tfrac{1}{2}(x + \\pi) (linearly increasing). Segment 3 (0 \\le x < \\pi): y = \\sqrt{\\pi^2 - x^2} (a quarter circle, upward bulge). Segment 4 (x \\ge \\pi): y = \\ln(x - \\pi + 1) (logarithmic growth). **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 5, "source_topic": "function"} | |
| {"id": "function_020", "split": "clean_scene", "topic": "function", "subtopic": "piecewise_functions", "prompt": "Plot the piecewise function y = { (x^2-1)/(x-1), x<1 ; 2\\ln(x)+1, 1\\le x<4 ; \\sqrt{9-(x-4)^2}-1, 4\\le x\\le 7 } over x \\in [-4, 8]. Mark the removable discontinuity at x=1 from the left branch with an open circle and show continuity behavior at each junction. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers**.", "original_id": 31, "source_topic": "function"} | |
| {"id": "function_021", "split": "clean_scene", "topic": "function", "subtopic": "piecewise_functions", "prompt": "Plot the piecewise function over the interval x \\in [-4, 4]: y = -x for x < 0, and y = x^2 for x >= 0. Use a filled dot at (0, 0) for the included right branch endpoint. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 59, "source_topic": "function"} | |
| {"id": "function_022", "split": "clean_scene", "topic": "function", "subtopic": "piecewise_functions", "prompt": "Plot the piecewise function over the interval x \\in [-4, 6]: y = x^2 for x < -1, y = 2x + 3 for -1 <= x < 2, and y = -x + 7 for x >= 2. Use filled dots for included endpoints and hollow dots for excluded endpoints. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4, 6).", "original_id": 66, "source_topic": "function"} | |
| {"id": "function_023", "split": "clean_scene", "topic": "function", "subtopic": "piecewise_functions", "prompt": "Plot the piecewise function over the interval x \\in [-4, 6]: y = x + 2 for x < 0, y = 2 for 0 <= x <= 2, and y = -x + 4 for x > 2. Use filled dots for included endpoints and hollow dots for excluded endpoints. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4, 6).", "original_id": 88, "source_topic": "function"} | |
| {"id": "function_024", "split": "clean_scene", "topic": "function", "subtopic": "piecewise_functions", "prompt": "Plot the piecewise function over x \\in [-6, 6]: y = x^2 + 2 for x < -2, y = -x + 1 for -2 <= x < 1, y = 3 for 1 <= x < 3, and y = (x-3)^3 + 3 for x >= 3. Use filled dots for included endpoints and hollow dots for excluded endpoints. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 95, "source_topic": "function"} | |
| {"id": "function_025", "split": "clean_scene", "topic": "function", "subtopic": "function_relations", "prompt": "Plot the damped oscillation y = e^{-0.4x}\\sin(3x) over the interval x \\in [0, 10]. Also draw the envelope curves y = e^{-0.4x} and y = -e^{-0.4x} as thin gray dashed lines. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 22, "source_topic": "function"} | |
| {"id": "function_026", "split": "clean_scene", "topic": "function", "subtopic": "function_relations", "prompt": "Plot y = |x^2 - 4| over the interval x \\in [-4, 4] together with the x-axis. Shade only the region enclosed between the curve and the x-axis for x \\in [-2, 2] using Gold with alpha=0.5. Mark the x-intercepts clearly. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 23, "source_topic": "function"} | |
| {"id": "function_027", "split": "clean_scene", "topic": "function", "subtopic": "function_relations", "prompt": "Plot the parametric-style relation converted to explicit branches: y = \\pm\\sqrt{9-(x-1)^2} + 0.5\\sin(4x) restricted to the domain where the square root is real. Render both upper and lower branches and indicate domain endpoints clearly. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers**.", "original_id": 33, "source_topic": "function"} | |
| {"id": "function_028", "split": "clean_scene", "topic": "function", "subtopic": "function_relations", "prompt": "Plot y = e^{-0.25x}\\cos(5x) + 0.15x over x \\in [0, 16]. Draw envelope guides y = \\pm e^{-0.25x} + 0.15x as thin dashed gray curves, and highlight all intersections of the main curve with y=0. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers**.", "original_id": 34, "source_topic": "function"} | |
| {"id": "function_029", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\frac{2x}{x^2 - 9} over the interval x \\in [-8, 8]. Clearly display the vertical asymptotes at x = -3 and x = 3. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -8, -6, -4, -2, 0, 2, 4, 6, 8).", "original_id": 16, "source_topic": "function"} | |
| {"id": "function_030", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\tan(0.5x) over the interval x \\in [-6, 6]. Clearly display the vertical asymptotes at x = -\\pi and x = \\pi (approx \\pm 3.14). **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 18, "source_topic": "function"} | |
| {"id": "function_031", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot y = \\tan\\left(\\frac{x}{2}\\right) over the interval x \\in [-2\\pi, 2\\pi]. Clearly show vertical asymptotes at x = -\\pi and x = \\pi using red dashed lines. Limit the displayed y-range to [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 24, "source_topic": "function"} | |
| {"id": "function_032", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\frac{e^x}{x + 2} over the interval x \\in [-6, 4]. Clearly display the vertical asymptote at x = -2. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4).", "original_id": 17, "source_topic": "function"} | |
| {"id": "function_033", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\frac{x^2 - 1}{x - 1} over the interval x \\in [-4, 4]. Show that x = 1 is a removable discontinuity by drawing a hollow circle at (1, 2). Draw the line y = x + 1 for all other x in the interval. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 21, "source_topic": "function"} | |
| {"id": "function_034", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\frac{x^3 - 3x + 1}{x^2 - 4} over the interval x \\in [-6, 6]. Clearly display the vertical asymptotes at x = -2 and x = 2. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 1, "source_topic": "function"} | |
| {"id": "function_035", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\ln(\\frac{x + 3}{x - 1}) over the interval x \\in [-2, 6]. Clearly display the vertical asymptote at x = 1. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 2, "source_topic": "function"} | |
| {"id": "function_036", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\frac{\\sqrt{x^2 + 1}}{x - 2} over the interval x \\in [-6, 6]. Clearly display the vertical asymptote at x = 2. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 3, "source_topic": "function"} | |
| {"id": "function_037", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the sum of the first three terms of the Fourier series: y = \\sin(x) + \\frac{1}{3}\\sin(3x) + \\frac{1}{5}\\sin(5x) over the range [0, 4\\pi]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 4, "source_topic": "function"} | |
| {"id": "function_038", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot y = (x^3-6x)/(x^2-1) over x \\in [-6,6], showing vertical asymptotes at x=\\pm1 and the oblique asymptote from polynomial division. Also mark all local extrema and x-intercepts. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers**.", "original_id": 32, "source_topic": "function"} | |
| {"id": "function_039", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot y = ln|x^2-4x+3| + 1/(x-2) over x \\in [-2, 6]. Correctly break the graph at all domain exclusions (x=1,2,3), show each vertical asymptote, and preserve correct branch behavior near singularities. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers**.", "original_id": 35, "source_topic": "function"} | |
| {"id": "function_040", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = 5 over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 36, "source_topic": "function"} | |
| {"id": "function_041", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = -0.5x + 1 over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 37, "source_topic": "function"} | |
| {"id": "function_042", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the line x = -3 over the y-range [-6, 6]. **Style Requirements**: The line must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 38, "source_topic": "function"} | |
| {"id": "function_043", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = 2x^2 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 39, "source_topic": "function"} | |
| {"id": "function_044", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = 0.5x^2 - 4 over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 40, "source_topic": "function"} | |
| {"id": "function_045", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = -2x^2 + 3 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 41, "source_topic": "function"} | |
| {"id": "function_046", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = |2x| - 3 over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 42, "source_topic": "function"} | |
| {"id": "function_047", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = -|x| + 4 over the interval x \\in [-6, 6]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -6, -4, -2, 0, 2, 4, 6).", "original_id": 43, "source_topic": "function"} | |
| {"id": "function_048", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = x^3 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 44, "source_topic": "function"} | |
| {"id": "function_049", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = -x^3 over the interval x \\in [-4, 4]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., -4, -2, 0, 2, 4).", "original_id": 45, "source_topic": "function"} | |
| {"id": "function_050", "split": "clean_scene", "topic": "function", "subtopic": "continuous_functions", "prompt": "Plot the function y = \\sqrt{x} over the interval x \\in [0, 8]. **Style Requirements**: The function curve must be a **Blue line**. Any vertical asymptotes must be **Red lines**. The axes, labels, and numbers must be **Black**. The x-axis tick marks must be strictly **even numbers** (e.g., 0, 2, 4, 6, 8).", "original_id": 46, "source_topic": "function"} | |
| {"id": "plane_001", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw two perpendicular straight lines. Label the horizontal line as F and the vertical line as G.", "original_id": 3, "source_topic": "plane_geometry"} | |
| {"id": "plane_002", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw two intersecting lines that cross at a point P.", "original_id": 16, "source_topic": "plane_geometry"} | |
| {"id": "plane_003", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw a rhombus ABCD with A at the left vertex. Draw both diagonals AC and BD intersecting at P. Label the midpoints of the four sides as E, F, G, H and connect them to form the inner rectangle EFGH.", "original_id": 24, "source_topic": "plane_geometry"} | |
| {"id": "plane_004", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw a regular hexagon ABCDEF with A at the top. Draw all three main diagonals AD, BE, and CF intersecting at center H. Connect alternate vertices A, C, E to form an inscribed equilateral triangle.", "original_id": 25, "source_topic": "plane_geometry"} | |
| {"id": "plane_005", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw two parallel horizontal lines labeled T and B. Draw two transversal lines crossing both, intersecting the top line at P and Q, and the bottom line at H and F. Label all four intersection points.", "original_id": 26, "source_topic": "plane_geometry"} | |
| {"id": "plane_006", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw a rectangle ABCD where the width is twice the height. Draw both diagonals AC and BD intersecting at H. Draw a circle centered at H that passes through all four vertices.", "original_id": 28, "source_topic": "plane_geometry"} | |
| {"id": "plane_007", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw a trapezoid ABCD with the longer base AB at the bottom and the shorter base CD at the top. Draw both diagonals AC and BD intersecting at H. Draw the median EF connecting the midpoints of the two non-parallel sides AD and BC.", "original_id": 29, "source_topic": "plane_geometry"} | |
| {"id": "plane_008", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw two circles that intersect at exactly two points P and Q.", "original_id": 31, "source_topic": "plane_geometry"} | |
| {"id": "plane_009", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw two intersecting circles with centers O and P. Connect the two centers with segment OP.", "original_id": 57, "source_topic": "plane_geometry"} | |
| {"id": "plane_010", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw a circle with center O. Place a point P outside the circle, and draw a secant through P intersecting the circle at points A and B.", "original_id": 81, "source_topic": "plane_geometry"} | |
| {"id": "plane_011", "split": "clean_scene", "topic": "plane", "subtopic": "intersection_reasoning", "prompt": "Draw two circles that intersect at exactly two points A and B. Connect A and B with a line segment.", "original_id": 85, "source_topic": "plane_geometry"} | |
| {"id": "plane_012", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw two disjoint circles, one smaller than the other.", "original_id": 20, "source_topic": "plane_geometry"} | |
| {"id": "plane_013", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw an equilateral triangle ABC with A at the top. Draw all three altitudes and label their feet as D, E, and F. Connect D, E, F to form the inner triangle DEF.", "original_id": 21, "source_topic": "plane_geometry"} | |
| {"id": "plane_014", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a square ABCD with A at the top-left. Draw its inscribed circle and circumscribed circle, both centered at H. Draw the four line segments from H to each vertex A, B, C, D.", "original_id": 22, "source_topic": "plane_geometry"} | |
| {"id": "plane_015", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a circle with center H. Inscribe an equilateral triangle ABC inside the circle. Draw the three radii HA, HB, and HC. Draw a smaller inscribed circle inside the triangle, centered at H.", "original_id": 30, "source_topic": "plane_geometry"} | |
| {"id": "plane_016", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a triangle ABC and place a circle completely inside the triangle.", "original_id": 34, "source_topic": "plane_geometry"} | |
| {"id": "plane_017", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a rectangle ABCD and place a circle completely outside the rectangle on the right side.", "original_id": 35, "source_topic": "plane_geometry"} | |
| {"id": "plane_018", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a circle and a rectangle completely inside the circle.", "original_id": 39, "source_topic": "plane_geometry"} | |
| {"id": "plane_019", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a triangle ABC and a circle completely outside the triangle on the left side.", "original_id": 40, "source_topic": "plane_geometry"} | |
| {"id": "plane_020", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a square ABCD and place a smaller square completely inside it.", "original_id": 43, "source_topic": "plane_geometry"} | |
| {"id": "plane_021", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a triangle ABC and draw all three sides clearly, then mark a point P strictly inside the triangle and connect P to A.", "original_id": 44, "source_topic": "plane_geometry"} | |
| {"id": "plane_022", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw two disjoint squares, one larger than the other.", "original_id": 47, "source_topic": "plane_geometry"} | |
| {"id": "plane_023", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a triangle ABC and a rectangle DEFG that do not overlap.", "original_id": 48, "source_topic": "plane_geometry"} | |
| {"id": "plane_024", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a circle and place a triangle ABC completely outside the circle above it.", "original_id": 50, "source_topic": "plane_geometry"} | |
| {"id": "plane_025", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a circle with center O and place one point P inside the circle and one point Q outside the circle.", "original_id": 51, "source_topic": "plane_geometry"} | |
| {"id": "plane_026", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a parallelogram ABCD and place a circle completely inside the parallelogram.", "original_id": 52, "source_topic": "plane_geometry"} | |
| {"id": "plane_027", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a rectangle ABCD. Draw a smaller circle completely inside the rectangle, and place a point P at the center of the circle.", "original_id": 54, "source_topic": "plane_geometry"} | |
| {"id": "plane_028", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a circle with center O. Place two points A and B on the circle, and place a point P strictly inside the circle.", "original_id": 60, "source_topic": "plane_geometry"} | |
| {"id": "plane_029", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw one circle. Place a point P outside the circle on the right side, horizontally aligned with the circle’s center.", "original_id": 1, "source_topic": "plane_geometry"} | |
| {"id": "plane_030", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw one circle and label its center as C.", "original_id": 2, "source_topic": "plane_geometry"} | |
| {"id": "plane_031", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a quadrilateral ABCD with A at the upper-left vertex, and label the vertices in clockwise order.", "original_id": 4, "source_topic": "plane_geometry"} | |
| {"id": "plane_032", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a triangle ABC with A at the top, B at the bottom-left, and C at the bottom-right.", "original_id": 5, "source_topic": "plane_geometry"} | |
| {"id": "plane_033", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a horizontal line segment AB with A on the left and B on the right.", "original_id": 6, "source_topic": "plane_geometry"} | |
| {"id": "plane_034", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw two parallel horizontal lines. Label the top line as T and the bottom line as B.", "original_id": 7, "source_topic": "plane_geometry"} | |
| {"id": "plane_035", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a circle with center C, then draw a diameter AB and label the endpoints A and B.", "original_id": 8, "source_topic": "plane_geometry"} | |
| {"id": "plane_036", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a right triangle ABC with the right angle at vertex C.", "original_id": 9, "source_topic": "plane_geometry"} | |
| {"id": "plane_037", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a parallelogram ABCD with A at the upper-left vertex, and label the vertices in counterclockwise order.", "original_id": 10, "source_topic": "plane_geometry"} | |
| {"id": "plane_038", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a rectangle ABCD where the width is greater than the height.", "original_id": 11, "source_topic": "plane_geometry"} | |
| {"id": "plane_039", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a circle with center C and draw a radius CA.", "original_id": 12, "source_topic": "plane_geometry"} | |
| {"id": "plane_040", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a line segment PQ and mark its midpoint M.", "original_id": 13, "source_topic": "plane_geometry"} | |
| {"id": "plane_041", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw an isosceles triangle ABC with AB = AC.", "original_id": 14, "source_topic": "plane_geometry"} | |
| {"id": "plane_042", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a generic pentagon with 5 sides.", "original_id": 15, "source_topic": "plane_geometry"} | |
| {"id": "plane_043", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a circle and a line that touches the circle at exactly one point T.", "original_id": 17, "source_topic": "plane_geometry"} | |
| {"id": "plane_044", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a trapezoid with the bottom side longer than the top side.", "original_id": 18, "source_topic": "plane_geometry"} | |
| {"id": "plane_045", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a rectangle ABCD. Draw the diagonal AC.", "original_id": 19, "source_topic": "plane_geometry"} | |
| {"id": "plane_046", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a rectangle ABCD. Place a point P strictly inside the rectangle, then connect P to vertices A and C.", "original_id": 61, "source_topic": "plane_geometry"} | |
| {"id": "plane_047", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a right triangle ABC with the right angle at C, where A is at the top-left and B is at the bottom-right. Draw the altitude from C to the hypotenuse AB, labeling the foot as D. Draw segment CD and mark the midpoint M of the hypotenuse BC.", "original_id": 23, "source_topic": "plane_geometry"} | |
| {"id": "plane_048", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a triangle ABC and a square DEFG completely outside the triangle on its right side.", "original_id": 62, "source_topic": "plane_geometry"} | |
| {"id": "plane_049", "split": "clean_scene", "topic": "plane", "subtopic": "geometric_construction", "prompt": "Draw a triangle ABC with A at the top. Draw the three medians from each vertex to the midpoint of the opposite side. Label the midpoints as D, E, F and label the centroid as G.", "original_id": 27, "source_topic": "plane_geometry"} | |
| {"id": "plane_050", "split": "clean_scene", "topic": "plane", "subtopic": "composite_figure_reasoning", "prompt": "Draw a square ABCD. Mark a point P strictly inside the square and connect P to vertices B and D.", "original_id": 65, "source_topic": "plane_geometry"} | |
| {"id": "set_001", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Two overlapping circles A and B. Shade only the intersection of A and B (the region where both circles overlap). The shading color is Red.", "original_id": 31, "source_topic": "set"} | |
| {"id": "set_002", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Two overlapping circles A and B. Shade only the part of Circle A that does not overlap with Circle B. The shading color is Blue.", "original_id": 32, "source_topic": "set"} | |
| {"id": "set_003", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Two overlapping circles A and B. Shade the entire union of A and B (all regions covered by either circle). The shading color is Green.", "original_id": 33, "source_topic": "set"} | |
| {"id": "set_004", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, and C. Shade only the region where all three circles overlap (the intersection of A, B, and C). All other regions must remain unshaded. The shading color is Purple.", "original_id": 34, "source_topic": "set"} | |
| {"id": "set_005", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, and C. Shade only the region that belongs to B but does not overlap with A and does not overlap with C. The shading color is Yellow.", "original_id": 35, "source_topic": "set"} | |
| {"id": "set_006", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, and C. Shade only the region where all three sets intersect (A ∩ B ∩ C). All other regions must remain unshaded white. The shading color is Purple. Leave all other regions unshaded.", "original_id": 47, "source_topic": "set"} | |
| {"id": "set_007", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "A Venn diagram with two overlapping circles A and B. Shade the symmetric difference of A and B: elements in A or B but not in both. Do not shade the intersection. The shading color is Pink. All unspecified regions must stay white.", "original_id": 48, "source_topic": "set"} | |
| {"id": "set_008", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, C. Shade the parts that are in exactly one circle only (unique to A, unique to B, or unique to C). Do not shade any overlapping regions. The shading color is Lime Green. Keep every non-target region white.", "original_id": 51, "source_topic": "set"} | |
| {"id": "set_009", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Two overlapping circles A and B. Shade only the intersection of A and B (the region where both circles overlap). The shading color is Red. Keep every non-target region white.", "original_id": 66, "source_topic": "set"} | |
| {"id": "set_010", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Two overlapping circles A and B. Shade only the part of Circle A that does not overlap with Circle B. The shading color is Blue. Leave all other regions unshaded.", "original_id": 67, "source_topic": "set"} | |
| {"id": "set_011", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Two overlapping circles A and B. Shade the entire union of A and B (all regions covered by either circle). The shading color is Green. All unspecified regions must stay white.", "original_id": 68, "source_topic": "set"} | |
| {"id": "set_012", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, and C. Shade only the region where all three circles overlap (the intersection of A, B, and C). All other regions must remain unshaded. The shading color is Purple. Do not add color outside the required region(s).", "original_id": 69, "source_topic": "set"} | |
| {"id": "set_013", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, and C. Shade only the region that belongs to B but does not overlap with A and does not overlap with C. The shading color is Yellow. Only the requested region(s) should be colored.", "original_id": 70, "source_topic": "set"} | |
| {"id": "set_014", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "A standard Venn diagram with three overlapping circles labeled A, B, and C. Shade the region defined by the logic: the Union of sets A, B, and C, excluding the Intersection of all three sets. The shading color is Red. The central intersection of all three circles must remain unshaded (white)", "original_id": 1, "source_topic": "set"} | |
| {"id": "set_015", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three overlapping circles A, B, and C. Shade ONLY the regions where exactly two circles overlap. Do not shade regions where only one circle exists, and do not shade the region where all three circles overlap. The shading color is Red.", "original_id": 2, "source_topic": "set"} | |
| {"id": "set_016", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "A diagram with three circles A, B, and C. Shade the region representing Circle C intersected with the Union of A and B. In other words, shade the parts of Circle C that overlap with either A or B. The shading color is Red.", "original_id": 3, "source_topic": "set"} | |
| {"id": "set_017", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, and C. Shade the region representing elements strictly unique to A and elements strictly unique to B. Do not shade any overlapping regions (intersections). Do not shade any part of Circle C. The shading color is Red.", "original_id": 4, "source_topic": "set"} | |
| {"id": "set_018", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "Two large overlapping circles A and B. A smaller circle D is placed completely inside the intersection area of A and B. Shade only the subset circle D. Leave the rest of A and B unshaded. The shading color is Red.", "original_id": 5, "source_topic": "set"} | |
| {"id": "set_019", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "A Venn diagram with three circles A, B, C where Circle A is entirely contained within Circle B (A ⊂ B), and C overlaps with B (but not with A). Shade the region that is in B but NOT in A and NOT in C (the part of B exclusive of A and C). The shading color is Red; all other regions are white.", "original_id": 8, "source_topic": "set"} | |
| {"id": "set_020", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "Two overlapping circles A and B, and a third disjoint circle C (no overlap with A or B). Shade the union of: (1) the intersection of A and B, and (2) the entire Circle C. No other regions (A-only, B-only) should be shaded. The shading color is Red.", "original_id": 9, "source_topic": "set"} | |
| {"id": "set_021", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three overlapping circles A, B, C. Shade the complement of (A ∩ B ∩ C) relative to the union of all three circles – in other words, shade every part of A, B, or C except the regions that are unique to a single circle. The shading color is Red; single-circle unique regions remain white.", "original_id": 10, "source_topic": "set"} | |
| {"id": "set_022", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "A standard Venn diagram with three overlapping circles labeled A, B, and C. Shade the region representing the Union of A and B, but completely exclude any part that overlaps with Circle C. The shading color is Green.", "original_id": 11, "source_topic": "set"} | |
| {"id": "set_023", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three overlapping circles A, B, and C. Shade the region that is in the Union of A, B, and C, but exclude the parts where exactly two sets overlap. Only the unique single‑circle regions remain shaded. The shading color is Light Blue.", "original_id": 14, "source_topic": "set"} | |
| {"id": "set_024", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "A universal set rectangle U containing three overlapping circles A, B, C. Shade the region that is in B or C, but not in A. The shading color is Teal.", "original_id": 15, "source_topic": "set"} | |
| {"id": "set_025", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "Two overlapping circles A and B, with Circle C fully contained inside Circle A and not overlapping B. Shade the entire region of Circle A excluding the part occupied by Circle C. The shading color is Brown.", "original_id": 17, "source_topic": "set"} | |
| {"id": "set_026", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three overlapping circles A, B, C. Shade the intersection of A and C, plus the part of B that does not overlap with either A or C. The shading color is Gray.", "original_id": 18, "source_topic": "set"} | |
| {"id": "set_027", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "A universal set U with three circles A, B, C. Shade the complement of the Union of A, B, and C — that is, the area inside U but outside all three circles. The shading color is Black.", "original_id": 19, "source_topic": "set"} | |
| {"id": "set_028", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three overlapping circles A, B, C. Use two colors: shade the unique part of A in Red, and the intersection of B and C that does not include A in Blue. All other regions stay white.", "original_id": 20, "source_topic": "set"} | |
| {"id": "set_029", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "Draw a rectangular border labeled U to represent the Universal Set, containing three overlapping circles A, B, and C. The overall image background remains white. Inside the rectangle, shade only the region outside all three circles but still within the rectangle border. The shading color is Dark Navy Blue. The three circles themselves must remain white and unshaded.", "original_id": 21, "source_topic": "set"} | |
| {"id": "set_030", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three circles A, B, C. Shade the Intersection of C with A and the Intersection of C with B, but exclude the Intersection of all three. The shading color is Magenta.", "original_id": 22, "source_topic": "set"} | |
| {"id": "set_031", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "An asymmetric Venn diagram. Circle A is significantly larger than Circle B. Circle B overlaps A. Shade only the intersection $(A \\cap B)$. The shading color is Cyan.", "original_id": 23, "source_topic": "set"} | |
| {"id": "set_032", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "A 4-set Venn diagram using four overlapping ellipses labeled A, B, C, D. Shade the Intersection of all four sets. The shading color is Red.", "original_id": 24, "source_topic": "set"} | |
| {"id": "set_033", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three overlapping circles A, B, C. Shade the parts of C that overlap with either A or B, but NOT the part of C that overlaps with both A and B at the same time. The shading color is Orange.", "original_id": 25, "source_topic": "set"} | |
| {"id": "set_034", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "A rectangular border labeled U containing three overlapping circles A, B, C. Shade two regions with different colors: shade the overlap of A and B that is outside C in Red, and shade the area inside U but outside all three circles in Blue. Leave all other areas unshaded.", "original_id": 26, "source_topic": "set"} | |
| {"id": "set_035", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Four circles A, B, C, D arranged in a 2x2 grid. A (top-left) overlaps B (top-right) and C (bottom-left). D (bottom-right) overlaps B and C. But A does not overlap D, and B does not overlap C (only diagonal pairs do not overlap). Shade only the regions where exactly two circles overlap. The shading color is Purple.", "original_id": 27, "source_topic": "set"} | |
| {"id": "set_036", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "A rectangular border labeled U for the Universal Set, containing two overlapping circles A and B. Shade the region inside the rectangle but outside both circles. The shading color is Purple.", "original_id": 28, "source_topic": "set"} | |
| {"id": "set_037", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three overlapping circles A, B, and C. Use two different shading colors. Shade the overlap region of A and B that does not touch C in Red. Shade the overlap region of B and C that does not touch A in Blue. All other regions must remain unshaded.", "original_id": 30, "source_topic": "set"} | |
| {"id": "set_038", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "Two large overlapping circles A and B. A smaller circle D is placed completely inside the intersection area of A and B. Shade only the subset circle D. Leave the rest of A and B unshaded. The shading color is Red. Only the requested region(s) should be colored.", "original_id": 40, "source_topic": "set"} | |
| {"id": "set_039", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "A Venn diagram with three circles A, B, C where Circle A is entirely contained within Circle B (A ⊂ B), and C overlaps with B (but not with A). Shade the region that is in B but NOT in A and NOT in C (the part of B exclusive of A and C). The shading color is Red; all other regions are white. All unspecified regions must stay white.", "original_id": 43, "source_topic": "set"} | |
| {"id": "set_040", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "Two overlapping circles A and B, and a third disjoint circle C (no overlap with A or B). Shade the union of: (1) the intersection of A and B, and (2) the entire Circle C. No other regions (A-only, B-only) should be shaded. The shading color is Red. Do not add color outside the required region(s).", "original_id": 44, "source_topic": "set"} | |
| {"id": "set_041", "split": "clean_scene", "topic": "set", "subtopic": "set_operations", "prompt": "Three overlapping circles A, B, C. Shade the complement of (A ∩ B ∩ C) relative to the union of all three circles – in other words, shade every part of A, B, or C except the regions that are unique to a single circle. The shading color is Red; single-circle unique regions remain white. Only the requested region(s) should be colored.", "original_id": 45, "source_topic": "set"} | |
| {"id": "set_042", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "Two overlapping circles A and B, with Circle C fully contained inside Circle A and not overlapping B. Shade the entire region of Circle A excluding the part occupied by Circle C. The shading color is Brown. Leave all other regions unshaded.", "original_id": 52, "source_topic": "set"} | |
| {"id": "set_043", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "A universal set U with three circles A, B, C. Shade the complement of the Union of A, B, and C — that is, the area inside U but outside all three circles. The shading color is Black. Do not add color outside the required region(s).", "original_id": 54, "source_topic": "set"} | |
| {"id": "set_044", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "Draw a rectangular border labeled U to represent the Universal Set, containing three overlapping circles A, B, and C. The overall image background remains white. Inside the rectangle, shade only the region outside all three circles but still within the rectangle border. The shading color is Dark Navy Blue. The three circles themselves must remain white and unshaded. Keep every non-target region white.", "original_id": 56, "source_topic": "set"} | |
| {"id": "set_045", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "An asymmetric Venn diagram. Circle A is significantly larger than Circle B. Circle B overlaps A. Shade only the intersection $(A \\cap B)$. The shading color is Cyan. All unspecified regions must stay white.", "original_id": 58, "source_topic": "set"} | |
| {"id": "set_046", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "A 4-set Venn diagram using four overlapping ellipses labeled A, B, C, D. Shade the Intersection of all four sets. The shading color is Red. Do not add color outside the required region(s).", "original_id": 59, "source_topic": "set"} | |
| {"id": "set_047", "split": "clean_scene", "topic": "set", "subtopic": "set_relations", "prompt": "A rectangular border labeled U for the Universal Set, containing two overlapping circles A and B. Shade the region inside the rectangle but outside both circles. The shading color is Purple. All unspecified regions must stay white.", "original_id": 63, "source_topic": "set"} | |
| {"id": "set_048", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Two large overlapping circles A and B. A smaller circle D is placed completely inside the intersection area of A and B. Shade only the subset circle D. Leave the rest of A and B unshaded. The shading color is Red. Only the requested region(s) should be colored.", "original_id": 75, "source_topic": "set"} | |
| {"id": "set_049", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, and C. Shade only the region where all three sets intersect (A ∩ B ∩ C). All other regions must remain unshaded white. The shading color is Purple. Leave all other regions unshaded.", "original_id": 82, "source_topic": "set"} | |
| {"id": "set_050", "split": "clean_scene", "topic": "set", "subtopic": "set_membership", "prompt": "Three overlapping circles A, B, and C. Shade only the region that belongs to A but does not overlap with B and does not overlap with C. The shading color is Yellow. Do not add color outside the required region(s).", "original_id": 99, "source_topic": "set"} | |
| {"id": "solid_001", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a simple cube in 3D.", "original_id": 1, "source_topic": "solid_geometry"} | |
| {"id": "solid_002", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cube and label two opposite vertices as A and G.", "original_id": 3, "source_topic": "solid_geometry"} | |
| {"id": "solid_003", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cube and draw one space diagonal from a front vertex to the opposite back vertex.", "original_id": 4, "source_topic": "solid_geometry"} | |
| {"id": "solid_004", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cube labeled with vertices A, B, C, D on the front face and E, F, G, H on the back face such that AE, BF, CG, DH are connecting edges. On the front face ABCD, draw face diagonals A-C and B-D as solid lines. Mark their intersection point as P and label it P.", "original_id": 5, "source_topic": "solid_geometry"} | |
| {"id": "solid_005", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a simple triangular prism in 3D.", "original_id": 6, "source_topic": "solid_geometry"} | |
| {"id": "solid_006", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cylinder in 3D with top and bottom ellipses.", "original_id": 7, "source_topic": "solid_geometry"} | |
| {"id": "solid_007", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cone in 3D with a circular base.", "original_id": 8, "source_topic": "solid_geometry"} | |
| {"id": "solid_008", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a sphere as a circle with one horizontal and one vertical guide arc.", "original_id": 9, "source_topic": "solid_geometry"} | |
| {"id": "solid_009", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a tetrahedron (triangular pyramid) in 3D.", "original_id": 11, "source_topic": "solid_geometry"} | |
| {"id": "solid_010", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a pentagonal prism with front face vertices A,B,C,D,E in cyclic order and back face vertices F,G,H,I,J correspondingly, with connecting edges AF, BG, CH, DI, EJ. Draw all prism edges, and additionally draw diagonals A-C on the front pentagon and F-H on the back pentagon as solid lines. Label all ten vertices.", "original_id": 12, "source_topic": "solid_geometry"} | |
| {"id": "solid_011", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cuboid that is wider than it is tall.", "original_id": 14, "source_topic": "solid_geometry"} | |
| {"id": "solid_012", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cube labeled A,B,C,D on the front face and E,F,G,H on the back face with connecting edges AE, BF, CG, DH. Place point P on edge AB, point Q on edge BC, and point R on edge CG. Draw the triangle P-Q-R as solid segments. Label A,B,C,D,E,F,G,H,P,Q,R.", "original_id": 15, "source_topic": "solid_geometry"} | |
| {"id": "solid_013", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cube and label the top front edge as AB.", "original_id": 17, "source_topic": "solid_geometry"} | |
| {"id": "solid_014", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cylinder next to a cube in the same 3D scene.", "original_id": 18, "source_topic": "solid_geometry"} | |
| {"id": "solid_015", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw two cubes of equal size in the same 3D scene. Label one cube A,B,C,D on one face and E,F,G,H on the opposite face with connecting edges AE, BF, CG, DH. Label the other cube P,Q,R,S on one face and T,U,V,W on the opposite face with connecting edges PT, QU, RV, SW. Use only these vertex labels.", "original_id": 21, "source_topic": "solid_geometry"} | |
| {"id": "solid_016", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a cube and a rectangular cuboid side by side in one 3D view. Label the cube A,B,C,D on one face and E,F,G,H on the opposite face with connecting edges AE, BF, CG, DH. Label the cuboid P,Q,R,S on one face and T,U,V,W on the opposite face with connecting edges PT, QU, RV, SW.", "original_id": 22, "source_topic": "solid_geometry"} | |
| {"id": "solid_017", "split": "clean_scene", "topic": "solid", "subtopic": "shape_recognition_3d", "prompt": "Draw a triangular prism and label one triangular face as ABC.", "original_id": 23, "source_topic": "solid_geometry"} | |
| {"id": "solid_018", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw 3D coordinate axes with arrowheads labeled x, y, z. Draw a rectangular cuboid (rectangular prism) and label one vertex as O at the origin. Place vertex A on the positive x-axis, vertex B on the positive y-axis, and vertex C on the positive z-axis. Draw segments OA, OB, OC as solid edges of the cuboid, and complete the cuboid structure. Label O,A,B,C and the remaining four cuboid vertices as D,E,F,G.", "original_id": 19, "source_topic": "solid_geometry"} | |
| {"id": "solid_019", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a sphere above a cube in a simple 3D composition.", "original_id": 20, "source_topic": "solid_geometry"} | |
| {"id": "solid_020", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a cylinder above a rectangular cuboid in the same 3D scene. Leave a small gap between them and label the cuboid as A and the cylinder as B by placing labels near the solids.", "original_id": 61, "source_topic": "solid_geometry"} | |
| {"id": "solid_021", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a cone to the right of a sphere in the same 3D scene. Label the cone as P and the sphere as Q by placing labels near the solids.", "original_id": 62, "source_topic": "solid_geometry"} | |
| {"id": "solid_022", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw two cubes in the same 3D scene, with one cube placed slightly behind the other. Label the front cube as A and the back cube as B by placing labels near the cubes.", "original_id": 63, "source_topic": "solid_geometry"} | |
| {"id": "solid_023", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw 3D coordinate axes with arrowheads labeled x, y, z. Place point A on the positive x-axis, point B on the positive y-axis, and point C on the positive z-axis, and label the origin as O.", "original_id": 64, "source_topic": "solid_geometry"} | |
| {"id": "solid_024", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw two parallel planes in 3D as parallelograms, one above the other. Label the upper plane as P and the lower plane as Q.", "original_id": 65, "source_topic": "solid_geometry"} | |
| {"id": "solid_025", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a rectangular cuboid that is longer than it is tall. Mark the midpoint of the top front edge as P and the midpoint of the bottom front edge directly below it as Q. Label P and Q.", "original_id": 67, "source_topic": "solid_geometry"} | |
| {"id": "solid_026", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw two cubes stacked vertically so that one cube is directly above the other with a small gap between them. Label the upper cube as P and the lower cube as Q.", "original_id": 68, "source_topic": "solid_geometry"} | |
| {"id": "solid_027", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a horizontal circular cylinder in front of a cube in the same 3D scene. Label the cylinder as A and the cube as B by placing labels near the solids.", "original_id": 69, "source_topic": "solid_geometry"} | |
| {"id": "solid_028", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a triangular prism with triangular face ABC in front and the opposite triangular face DEF behind it, with connecting edges AD, BE, and CF. Label all six vertices.", "original_id": 70, "source_topic": "solid_geometry"} | |
| {"id": "solid_029", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw 3D coordinate axes with arrowheads labeled x, y, z. Draw a cube with one vertex at the origin O and three edges from O going along the positive x-, y-, and z-directions.", "original_id": 74, "source_topic": "solid_geometry"} | |
| {"id": "solid_030", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a square pyramid with base vertices A, B, C, and D and apex V directly above the center O of the base. Label O and V.", "original_id": 75, "source_topic": "solid_geometry"} | |
| {"id": "solid_031", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a plane in 3D as a parallelogram and draw a line l above the plane, parallel to it. Label the plane as P and the line as l.", "original_id": 77, "source_topic": "solid_geometry"} | |
| {"id": "solid_032", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a vertical cylinder above a cube in one 3D scene with a small gap between them.", "original_id": 93, "source_topic": "solid_geometry"} | |
| {"id": "solid_033", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw a cone to the right of a sphere in one 3D scene. Label the cone as P and the sphere as Q.", "original_id": 94, "source_topic": "solid_geometry"} | |
| {"id": "solid_034", "split": "clean_scene", "topic": "solid", "subtopic": "spatial_position_coordinates", "prompt": "Draw 3D coordinate axes with arrowheads labeled x, y, z, and label the origin as O.", "original_id": 95, "source_topic": "solid_geometry"} | |
| {"id": "solid_035", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a parallelepiped (an oblique box shape) labeled with vertices A, B, C, D on one quadrilateral face in order around the face, and E, F, G, H on the opposite quadrilateral face such that AE, BF, CG, DH are connecting edges. Draw all 12 edges (use dashed lines for hidden edges if needed). Label all eight vertices.", "original_id": 2, "source_topic": "solid_geometry"} | |
| {"id": "solid_036", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a cube labeled with vertices A, B, C, D on the front face and E, F, G, H on the back face such that AE, BF, CG, DH are connecting edges. Use a low-angle oblique viewing angle so the bottom face is clearly visible. Label all eight vertices.", "original_id": 10, "source_topic": "solid_geometry"} | |
| {"id": "solid_037", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a cube with bottom face A,B,C,D and top face E,F,G,H where AE, BF, CG, DH are vertical connecting edges. The cube rests on a ground line that touches edge AB. Draw the space diagonal A-G as a dashed line and the face diagonal B-D on the bottom face as a dashed line. Label A,B,C,D,E,F,G,H and the ground line as l.", "original_id": 13, "source_topic": "solid_geometry"} | |
| {"id": "solid_038", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a rectangular cuboid labeled A,B,C,D on the front face and E,F,G,H on the back face with connecting edges AE, BF, CG, DH. Additionally draw the diagonal segment A-G as a dashed line and the diagonal segment B-H as a dashed line. Label all eight vertices.", "original_id": 16, "source_topic": "solid_geometry"} | |
| {"id": "solid_039", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a cuboid with one hidden back edge as dashed.", "original_id": 25, "source_topic": "solid_geometry"} | |
| {"id": "solid_040", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a truncated cube (a cube with all corners cut off) in 3D. Label it only with a single label T placed near the shape (do not label all vertices). Use dashed lines for hidden edges if needed.", "original_id": 27, "source_topic": "solid_geometry"} | |
| {"id": "solid_041", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a torus (a ring shape) in 3D. Show the outer contour and the inner hole contour; use dashed curves for any hidden parts if needed. Label the torus with a single label R placed near the shape.", "original_id": 28, "source_topic": "solid_geometry"} | |
| {"id": "solid_042", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a single composite solid: a frustum of a pyramid (a truncated pyramid) with lower base quadrilateral A-B-C-D and upper base quadrilateral E-F-G-H, each in cyclic order, with side edges AE, BF, CG, DH connecting corresponding vertices. A circular cylinder passes horizontally through the frustum, clearly entering and exiting on opposite lateral faces. Label the frustum vertices A,B,C,D,E,F,G,H. Label the cylinder axis endpoints as P and Q. Use dashed lines for hidden parts where appropriate.", "original_id": 29, "source_topic": "solid_geometry"} | |
| {"id": "solid_043", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a cube ABCD-EFGH in 3D perspective. Add a plane passing through points A, E, and G, and show the exact intersection polygon between this plane and the cube. Use dashed segments for hidden cube edges and hidden parts of the section.", "original_id": 31, "source_topic": "solid_geometry"} | |
| {"id": "solid_044", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a right circular cone with vertex V above base circle center O. Slice it with an oblique plane not parallel to the base, producing an ellipse on the cone surface. Show the visible and hidden portions of the intersection curve accurately.", "original_id": 32, "source_topic": "solid_geometry"} | |
| {"id": "solid_045", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw two intersecting cylinders of equal radius at right angles (a Steinmetz solid). Show both cylinder axes, visible boundary curves, and dashed hidden boundaries to communicate the full 3D structure.", "original_id": 34, "source_topic": "solid_geometry"} | |
| {"id": "solid_046", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a regular tetrahedron ABCD. Mark midpoints of all six edges and connect appropriate midpoint pairs to form the medial octahedron inside. Show both the outer tetrahedron and inner octahedron with correct hidden-line conventions.", "original_id": 35, "source_topic": "solid_geometry"} | |
| {"id": "solid_047", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a frustum of a pyramid (a truncated pyramid) with lower base quadrilateral A-B-C-D and upper base quadrilateral E-F-G-H, with AE, BF, CG, and DH as the connecting edges between corresponding vertices. Use a low-angle oblique view so that the lower base is clearly visible. Draw the occluded edges as dashed lines and label all eight vertices.", "original_id": 36, "source_topic": "solid_geometry"} | |
| {"id": "solid_048", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a right circular cylinder and slice it with an oblique plane so that an ellipse is formed on the lateral surface of the cylinder. Accurately show the visible and hidden portions of this intersection curve.", "original_id": 37, "source_topic": "solid_geometry"} | |
| {"id": "solid_049", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a vertical circular cylinder. Draw the back half of the bottom ellipse as a dashed curve. Mark the center of the top base as P and the center of the bottom base as Q, and label P and Q.", "original_id": 40, "source_topic": "solid_geometry"} | |
| {"id": "solid_050", "split": "clean_scene", "topic": "solid", "subtopic": "projection_visibility_occlusion", "prompt": "Draw a right circular cone with apex V directly above the center O of the base circle. Draw the back half of the base circle as a dashed arc. Label V and O.", "original_id": 41, "source_topic": "solid_geometry"} | |