{ "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": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 131.9932, 0.0 ], [ 0.0, 131.9932 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 200.56279995177607, "ty": 336.16013415844486 } }, { "piece_id": "large_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 131.9932, 0.0 ], [ 0.0, 131.9932 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 629.9786881936784, "ty": 130.1522687391221 } }, { "piece_id": "medium_tri", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 93.3333, 0.0 ], [ 0.0, 93.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 133.40867824262915, "ty": 280.3037337695634 } }, { "piece_id": "square", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 65.9966, 65.9966 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 129.6887743373536, "ty": 228.559406651875 } }, { "piece_id": "parallelogram", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 131.9932, 65.9966 ], [ 65.9966, 65.9966 ] ], "start_pose": { "reflect": true, "rot_deg": 135.0, "tx": 531.24351921473, "ty": 201.96993138349362 } }, { "piece_id": "small_tri_1", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 582.8163852702528, "ty": 405.9178630774689 } }, { "piece_id": "small_tri_2", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 307.4469578881388, "ty": 29.989315966472617 } } ], "target_silhouette": [ [ [ 369.3333, 146.6667 ], [ 322.6667, 193.3333 ], [ 369.3334, 240.0 ], [ 369.3333, 240.0 ], [ 276.0, 333.3333 ], [ 322.6667, 380.0 ], [ 369.3333, 333.3333 ], [ 462.6667, 333.3333 ], [ 509.3333, 380.0 ], [ 556.0, 333.3333 ], [ 509.3333, 286.6667 ], [ 556.0, 240.0 ], [ 462.6667, 240.0 ], [ 462.6667, 146.6667 ], [ 416.0, 193.3333 ], [ 416.0, 100.0 ], [ 369.3333, 146.6667 ] ] ] }