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Thursday, 14 January 2016
Euler's Formula for Simple Polyhedras $F+V-E=2$
Definition:
A SIMPLE POLYHEDRON is a polyhedron which has no holes.
THEOREM:
Euler's Formula for Simple Polyhedra.
If $V$ is the number of vertices, $E$ the number of edges, and $F$ the number of faces of a simple polyhedron, then $$F+V-E=2$$
Note: Most articles will quote this result for convex polyhedrons only, but it holds for those concave polyhedra without holes also.
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