{ "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 ], [ 120.0, 0.0 ], [ 0.0, 120.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 683.3719479968272, "ty": 242.1203969101199 } }, { "piece_id": "large_tri_2", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 120.0, 0.0 ], [ 0.0, 120.0 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 146.08269565844319, "ty": 259.99458003371194 } }, { "piece_id": "medium_tri", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 84.8528, 0.0 ], [ 0.0, 84.8528 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 146.13711795918493, "ty": 137.01315062548247 } }, { "piece_id": "square", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 60.0, 0.0 ], [ 60.0, 60.0 ], [ 0.0, 60.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 510.8155436886618, "ty": 17.456414718060643 } }, { "piece_id": "parallelogram", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 60.0, 0.0 ], [ 120.0, 60.0 ], [ 60.0, 60.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 521.1098095032269, "ty": 161.66617747300177 } }, { "piece_id": "small_tri_1", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 60.0, 0.0 ], [ 0.0, 60.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 742.6637218876438, "ty": 237.15533720331234 } }, { "piece_id": "small_tri_2", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 60.0, 0.0 ], [ 0.0, 60.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 746.9367254493964, "ty": 397.6685159739937 } } ], "target_silhouette": [ [ [ 266.0, 120.0 ], [ 326.0, 180.0 ], [ 386.0, 240.0 ], [ 386.0, 300.0 ], [ 446.0, 300.0 ], [ 446.0, 360.0 ], [ 506.0, 360.0 ], [ 566.0, 300.0 ], [ 446.0, 180.0 ], [ 446.0, 120.0 ], [ 386.0, 120.0 ], [ 386.0, 180.0 ], [ 326.0, 120.0 ], [ 266.0, 120.0 ] ] ] }