{ "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 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 684.0682711968587, "ty": 350.4169111806048 } }, { "piece_id": "large_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 129.2995, 0.0 ], [ 0.0, 129.2995 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 16.459389880541785, "ty": 277.9612256588549 } }, { "piece_id": "medium_tri", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 91.4285, 0.0 ], [ 0.0, 91.4285 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 721.2261062842183, "ty": 50.385620165199406 } }, { "piece_id": "square", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6497, 0.0 ], [ 64.6497, 64.6497 ], [ 0.0, 64.6497 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 792.2064486198072, "ty": 221.71607782618767 } }, { "piece_id": "parallelogram", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6497, 0.0 ], [ 129.2995, 64.6497 ], [ 64.6497, 64.6497 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 241.0867544032483, "ty": 451.04258549149125 } }, { "piece_id": "small_tri_1", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6497, 0.0 ], [ 0.0, 64.6497 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 109.55046986476621, "ty": 50.684783894647666 } }, { "piece_id": "small_tri_2", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 64.6497, 0.0 ], [ 0.0, 64.6497 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 529.8177794967107, "ty": 70.07346495134082 } } ], "target_silhouette": [ [ [ 256.0, 217.143 ], [ 347.4286, 308.5715 ], [ 438.8571, 308.5715 ], [ 530.2857, 308.5714 ], [ 576.0, 354.2856 ], [ 575.9998, 262.8571 ], [ 484.5713, 262.8572 ], [ 438.8571, 217.143 ], [ 347.4286, 125.7144 ], [ 256.0, 125.7144 ], [ 256.0, 217.143 ] ] ] }