Document Type
Article
Publication Date
1-2003
Publication Title
Computational Geometry
Abstract
Define a “slice” curve as the intersection of a plane with the surface of a polytope, i.e., a convex polyhedron in three dimensions. We prove that a slice curve develops on a plane without self-intersection. The key tool used is a generalization of Cauchy's arm lemma to permit nonconvex “openings” of a planar convex chain.
Keywords
Polyhedron, Polytope, Development, Unfolding
Volume
24
Issue
1
First Page
3
Last Page
10
DOI
dx.doi.org/10.1016/S0925-7721(02)00044-5
ISSN
0925-7721
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Recommended Citation
O'Rourke, Joseph, "On the Development of the Intersection of a Plane With a Polytope" (2003). Computer Science: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/csc_facpubs/69
Comments
Author’s submitted manuscript.
Licensed CC-BY-NC-ND at the request of the publisher.