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

Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.

Comments

Licensed CC-BY-NC-ND at the request of the publisher.

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