English

A Short Proof of Klee's Theorem

Metric Geometry 2015-03-06 v3

Abstract

In 1959, Klee proved that a convex body KK 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 R3\mathbb{R}^3.

Cite

@article{arxiv.1302.2354,
  title  = {A Short Proof of Klee's Theorem},
  author = {John J. Zanazzi},
  journal= {arXiv preprint arXiv:1302.2354},
  year   = {2015}
}

Comments

2 pages, 1 figure

R2 v1 2026-06-21T23:23:52.037Z