General unfoldings of nonconvex polyhedra

Decide whether every polyhedron can be cut open, with cuts anywhere on its surface, and flattened into one non-overlapping piece.

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1	{
2	"domain": "computer-science",
3	"topics": [
4	"computational-geometry",
5	"discrete-geometry"
6	],
7	"type": "proof",
8	"also": [
9	"algorithm"
10	],
11	"cover": {
12	"motif": "polyhedron"
13	},
14	"source": {
15	"key": "topp",
16	"name": "The Open Problems Project",
17	"url": "https://topp.openproblem.net/p43",
18	"id": "43",
19	"curator": "Erik D. Demaine, Joseph S. B. Mitchell and Joseph O'Rourke",
20	"status": "open",
21	"as_of": "2026-10-20",
22	"catalog": "0521c19bbd38"
23	},
24	"review": true,
25	"approval": "first-time"
26	}