A Class of Convex Polyhedra with Few Edge Unfoldings

Details A Class of Convex Polyhedra with Few Edge Unfoldings A Class of Convex Polyhedra with Few Edge Unfoldings

2008-01-25

arxiv.org/abs/0801.4019v1

Computer Science

Computational Geometry

12 pages, 9 figures

Scientific paper

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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