Document Type
Article
Publication Date
1-25-2008
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.
Recommended Citation
Benton, Alex and O'Rourke, Joseph, "A Class of Convex Polyhedra with Few Edge Unfoldings" (2008). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/41
Comments
Author’s submitted manuscript.
Another version of this paper appeared in the Proceedings of the 20th Annual Canadian Conference on Computational Geometry August 13–15, 2008 McGill University, Montréal, Québec. http://www.cccg.ca/proceedings/2008/