{ "canvas": { "width": 832, "height": 480 }, "instructions": "Rigidly move all seven pieces (translation + rotation; the parallelogram may also be reflected) so that together they exactly tile target_silhouette without overlaps. Report each piece's final pose.", "pieces": [ { "piece_id": "large_tri_1", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 660.9125660029121, "ty": 448.8050422889054 } }, { "piece_id": "large_tri_2", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 89.52731490711597, "ty": 363.0383441807298 } }, { "piece_id": "medium_tri", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 98.9949, 0.0 ], [ 0.0, 98.9949 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 680.0717325475352, "ty": 263.88950714920963 } }, { "piece_id": "square", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 70.0, 70.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 168.16550984096898, "ty": 109.66097942559662 } }, { "piece_id": "parallelogram", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 140.0, 70.0 ], [ 70.0, 70.0 ] ], "start_pose": { "reflect": true, "rot_deg": 90.0, "tx": 298.45323161584804, "ty": 414.031033950865 } }, { "piece_id": "small_tri_1", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 639.7198518932506, "ty": 85.29802715149306 } }, { "piece_id": "small_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 759.8183818453205, "ty": 168.8135698273264 } } ], "target_silhouette": [ [ [ 381.0, 170.0 ], [ 311.0, 170.0 ], [ 381.0, 240.0 ], [ 311.0, 240.0 ], [ 311.0, 310.0 ], [ 381.0, 310.0 ], [ 381.0, 380.0 ], [ 451.0, 310.0 ], [ 521.0, 380.0 ], [ 521.0, 240.0 ], [ 521.0, 100.0 ], [ 451.0, 100.0 ], [ 381.0, 170.0 ] ] ] }