Document Type
Conference Proceeding
Publication Date
12-1-2011
Publication Title
Proceedings of the 23rd Annual Canadian Conference on Computational Geometry, CCCG 2011
Abstract
We establish that certain classes of simple, closed, polygonal curves on the surface of a convex polyhedron develop in the plane without overlap. Our primary proof technique shows that such curves "live on a cone," and then develops the curves by cutting the cone along a "generator" and attening the cone in the plane. The conical existence results support a type of source unfold- ing of the surface of a polyhedron, described elsewhere.
Rights
© the author
Recommended Citation
O'Rourke, Joseph and Vîlcu, Costin, "Development of Curves on Polyhedra Via Conical Existence" (2011). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/182
Comments
Peer reviewed accepted manuscript.