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A Class of Convex Polyhedra with Few Edge Unfoldings

Published 25 Jan 2008 in cs.CG | (0801.4019v1)

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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