publication . Preprint . 2013

A Short Proof of Klee's Theorem

Zanazzi, John J.;
Open Access English
  • Published: 10 Feb 2013
Abstract
In 1959, Klee proved that a convex body $K$ is a polyhedron if and only if all of its projections are polygons. In this paper, a new proof of this theorem is given for convex bodies in $\mathbb{R}^3$.
Subjects
arxiv: Mathematics::Metric GeometryComputer Science::Computational Geometry
free text keywords: Mathematics - Metric Geometry
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[1] V. Klee. Some characterizations of convex polyhedra. Acta Mathematica, pages 79-107, 1959. [2] H. Mirkil. New characterizations of polyhedral cones. Canadian Journal of Mathematics, pages 1-4, 1957. [OpenAIRE]

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