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arXiv · 1101.0823

Convex Polyhedra Realizing Given Face Areas

Joseph O'Rourke
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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.

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Joseph O'Rourke. 2011-01-04. Convex Polyhedra Realizing Given Face Areas. https://arxiv.org/abs/1101.0823

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