Title

Development of Curves on Polyhedra Via Conical Existence

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

Comments

Peer reviewed accepted manuscript.

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