{ "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 ], [ 106.6667, 0.0 ], [ 0.0, 106.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 161.34456251943465, "ty": 133.20553527330608 } }, { "piece_id": "large_tri_2", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 106.6667, 0.0 ], [ 0.0, 106.6667 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 191.8520518380106, "ty": 133.96397950882965 } }, { "piece_id": "medium_tri", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 75.4247, 0.0 ], [ 0.0, 75.4247 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 678.5164541678444, "ty": 385.9202916368275 } }, { "piece_id": "square", "color": [ 132, 53, 133 ], "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": 473.96375508882613, "ty": 411.19747019807687 } }, { "piece_id": "parallelogram", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 53.3333, 0.0 ], [ 106.6667, 53.3333 ], [ 53.3333, 53.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 134.62576363514742, "ty": 272.56511672264145 } }, { "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": 315.0, "tx": 634.627124767193, "ty": 104.55585411913846 } }, { "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": 135.0, "tx": 746.6017916018195, "ty": 207.82674588757527 } } ], "target_silhouette": [ [ [ 469.3333, 186.6667 ], [ 416.0, 186.6667 ], [ 416.0, 133.3333 ], [ 309.3333, 240.0 ], [ 256.0, 293.3333 ], [ 256.0, 346.6667 ], [ 309.3333, 346.6667 ], [ 416.0, 240.0 ], [ 469.3333, 240.0 ], [ 522.6667, 186.6667 ], [ 576.0, 186.6667 ], [ 522.6667, 133.3333 ], [ 469.3333, 186.6667 ] ] ] }