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Re: [HM] Euler's Formula for Polyhedra
Posted:
Jul 31, 2002 7:19 PM


Dear Fausto,
If one refers to a 3dimensional convex polyhedron as being combinatorially regular, if all its vertices have the same number of edges at each vertex and all the faces have the same number of sides, then it is easy to prove from Euler's polyhedral formula that there are only 5 combinatorially regular examples, and these correspond to the classical Platonic solids.
Best wishes,
Joe
 Joseph Malkevitch Department of Mathematics York College (CUNY) Jamaica, New York 11451
Phone: 7182622551 Web page: http://www.york.cuny.edu/~malk



