Euler's Polyhedral Formula
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Let the number of vertices, edges, and faces of a polyhedron be , , and . The Euler characteristic, , is always 2 for convex polyhedra. This Demonstration shows Euler's polyhedral formula for the Platonic solids.
Contributed by: Hector Zenil (September 2007)
Open content licensed under CC BY-NC-SA
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"Euler's Polyhedral Formula"
http://demonstrations.wolfram.com/EulersPolyhedralFormula/
Wolfram Demonstrations Project
Published: September 28 2007