Convex Polyhedra Realizing Given Face Areas

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.

• Type: Journal
• Year: 2011
• Where: CORR
• Authors: Joseph O'Rourke
• Keywords: Convex Polyhedron, CORR 2011, Education, Face Areas, Positive Real Numbers