Zipper unfoldings of convex polyhedra
Can every convex polyhedron be flattened without overlap after cutting along one simple path through all its vertices? This zipper path may traverse face interiors, and is not required to follow the edge graph.
Inferred from the community field; finer classification has not been reviewed.
Problem statement
Can every convex polyhedron be flattened without overlap after cutting along one simple path through all its vertices? This zipper path may traverse face interiors, and is not required to follow the edge graph.
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: Zipper unfoldings of convex polyhedra (inspected 2026-09-09) link
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Discussion
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