{ "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": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 106.6667, 0.0 ], [ 0.0, 106.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 87.51164814868373, "ty": 246.38636041146935 } }, { "piece_id": "large_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 106.6667, 0.0 ], [ 0.0, 106.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 295.7370266783076, "ty": 386.1469846238482 } }, { "piece_id": "medium_tri", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 75.4247, 0.0 ], [ 0.0, 75.4247 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 665.8482427101858, "ty": 87.73697653908118 } }, { "piece_id": "square", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 53.3333, 53.3333 ], [ 0.0, 53.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 645.8741864800513, "ty": 172.63934418785678 } }, { "piece_id": "parallelogram", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 106.6667, 53.3333 ], [ 53.3333, 53.3333 ] ], "start_pose": { "reflect": true, "rot_deg": 180.0, "tx": 489.51984051223394, "ty": 436.68099887199446 } }, { "piece_id": "small_tri_1", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 0.0, 53.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 662.380923548589, "ty": 216.7380733974659 } }, { "piece_id": "small_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 0.0, 53.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 749.1173363104582, "ty": 180.993906785054 } } ], "target_silhouette": [ [ [ 416.0, 133.3333 ], [ 362.6667, 133.3333 ], [ 309.3333, 186.6667 ], [ 256.0, 186.6667 ], [ 362.6667, 293.3333 ], [ 362.6667, 346.6667 ], [ 416.0, 293.3333 ], [ 469.3333, 293.3333 ], [ 522.6667, 240.0 ], [ 576.0, 240.0 ], [ 522.6667, 186.6667 ], [ 469.3333, 186.6667 ], [ 469.3333, 240.0 ], [ 416.0, 240.0 ], [ 362.6667, 186.6667 ], [ 416.0, 133.3333 ] ] ] }