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arXiv · 0801.4019

A Class of Convex Polyhedra with Few Edge Unfoldings

Alex Benton·Joseph O'Rourke
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Abstract

We construct a sequence of convex polyhedra on n vertices with the property that, as n -> infinity, the fraction of its edge unfoldings that avoid overlap approaches 0, and so the fraction that overlap approaches 1. Nevertheless, each does have (several) nonoverlapping edge unfoldings.

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Alex Benton, Joseph O'Rourke. 2008-01-25. A Class of Convex Polyhedra with Few Edge Unfoldings. https://arxiv.org/abs/0801.4019

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