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arXiv · 1802.01621

Un-unzippable Convex Caps

Joseph O'Rourke
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Abstract

An unzipping of a polyhedron P is a cut-path through its vertices that unfolds P to a non-overlapping shape in the plane. It is an open problem to decide if every convex P has an unzipping. Here we show that there are nearly flat convex caps that have no unzipping. A convex cap is a "top" portion of a convex polyhedron; it has a boundary, i.e., it is not closed by a base.

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Joseph O'Rourke. 2018-02-05. Un-unzippable Convex Caps. https://arxiv.org/abs/1802.01621

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