A Class of Convex Polyhedra with Few Edge Unfoldings
Computational Geometry
2008-01-28 v1
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.
Cite
@article{arxiv.0801.4019,
title = {A Class of Convex Polyhedra with Few Edge Unfoldings},
author = {Alex Benton and Joseph O'Rourke},
journal= {arXiv preprint arXiv:0801.4019},
year = {2008}
}
Comments
12 pages, 9 figures