Convex Polyhedra Realizing Given Face Areas
Discrete Mathematics
2011-01-06 v1
Abstract
Given n >= 4 positive real numbers, we prove in this note that they are the face areas of a convex polyhedron if and only if the largest number is not more than the sum of the others.
Keywords
Cite
@article{arxiv.1101.0823,
title = {Convex Polyhedra Realizing Given Face Areas},
author = {Joseph O'Rourke},
journal= {arXiv preprint arXiv:1101.0823},
year = {2011}
}
Comments
6 pages, 3 figures