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Topic: [HM] Euler's Formula for Polyhedra
Replies: 4   Last Post: Jul 31, 2002 11:52 PM

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joe malkevitch

Posts: 62
Registered: 12/3/04
Re: [HM] Euler's Formula for Polyhedra
Posted: Jul 31, 2002 7:19 PM
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Dear Fausto,

If one refers to a 3-dimensional 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,


Joseph Malkevitch
Department of Mathematics
York College (CUNY)
Jamaica, New York 11451

Phone: 718-262-2551
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