A Class of Convex Polyhedra with Few Edge Unfoldings

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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.
12 pages, 9 figures

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Computational Geometry, F.2.2

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http://salesiana.dossiersoluciones.com/handle/123456789/146651

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.4019
 http://arxiv.org/abs/0801.4019

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arXiv