{ "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 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 98.11370961825796, "ty": 268.2461356339066 } }, { "piece_id": "large_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 271.76439614559746, "ty": 316.57422773950793 } }, { "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": 180.0, "tx": 664.7327471436039, "ty": 374.03972332869876 } }, { "piece_id": "square", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 70.0, 70.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 142.2925438637608, "ty": 73.99191727145578 } }, { "piece_id": "parallelogram", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 140.0, 70.0 ], [ 70.0, 70.0 ] ], "start_pose": { "reflect": true, "rot_deg": 45.0, "tx": 750.3310888975469, "ty": 80.2230811319819 } }, { "piece_id": "small_tri_1", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 73.41873824450721, "ty": 185.31876015179603 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 743.2577153641729, "ty": 231.39795203004098 } } ], "target_silhouette": [ [ [ 346.0, 170.0 ], [ 276.0, 170.0 ], [ 346.0, 240.0 ], [ 346.0, 310.0 ], [ 416.0, 310.0 ], [ 416.0, 380.0 ], [ 486.0, 380.0 ], [ 486.0, 310.0 ], [ 556.0, 310.0 ], [ 556.0, 170.0 ], [ 486.0, 240.0 ], [ 416.0, 170.0 ], [ 486.0, 100.0 ], [ 416.0, 100.0 ], [ 346.0, 100.0 ], [ 346.0, 170.0 ] ] ] }