General unfoldings of nonconvex polyhedra
Can the surface of every closed nonconvex polyhedron be cut into a single connected piece that flattens into the plane without overlap? Cuts may cross face interiors, so they need not follow the original edges.
Inferred from the community field; finer classification has not been reviewed.
Problem statement
Can the surface of every closed nonconvex polyhedron be cut into a single connected piece that flattens into the plane without overlap? Cuts may cross face interiors, so they need not follow the original edges.
Lean 4
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Background
Editorial selection inspected on 9 September 2026. Current research status has not been independently reassessed; consult the original source and subsequent literature.
- [1]The Open Problems Project — Computational geometry: General unfoldings of nonconvex polyhedra (inspected 2026-09-09) link
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