{ "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": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 112.0, 0.0 ], [ 0.0, 112.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 707.1357347553654, "ty": 298.87595145576455 } }, { "piece_id": "large_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 112.0, 0.0 ], [ 0.0, 112.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 129.86039374837227, "ty": 318.9696209722492 } }, { "piece_id": "medium_tri", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 79.196, 0.0 ], [ 0.0, 79.196 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 637.0468925885809, "ty": 206.64241509687704 } }, { "piece_id": "square", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 56.0, 56.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 151.21357064698978, "ty": 273.6422447866668 } }, { "piece_id": "parallelogram", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 112.0, 56.0 ], [ 56.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 663.7353604759667, "ty": 72.51930021376619 } }, { "piece_id": "small_tri_1", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 713.6480572018771, "ty": 168.87456371619146 } }, { "piece_id": "small_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 56.0, 0.0 ], [ 0.0, 56.0 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 670.6783590364686, "ty": 292.83790577278114 } } ], "target_silhouette": [ [ [ 332.0, 100.0 ], [ 388.0, 156.0 ], [ 388.0, 212.0 ], [ 332.0, 212.0 ], [ 332.0, 268.0 ], [ 388.0, 268.0 ], [ 388.0, 324.0 ], [ 444.0, 380.0 ], [ 500.0, 324.0 ], [ 500.0, 212.0 ], [ 444.0, 212.0 ], [ 444.0, 156.0 ], [ 388.0, 100.0 ], [ 332.0, 100.0 ] ] ] }