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Topic: [HM] Prismoidal formula
Replies: 3   Last Post: Jun 19, 2002 10:40 AM

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joe malkevitch

Posts: 62
Registered: 12/3/04
Re: [HM] Prismoidal formula
Posted: Jun 18, 2002 4:53 PM
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Dear Colleagues,

The example that John Conway describes, to illustrate that non-convex
3-dimensional polyhedra can not always be decomposed into tetrahedra
(without the addition of "Steiner points") is the first in a family
described by E. Schonhardt (1928), as a simplification of more
complicated examples found early by the Princeton topologist N. J.
Lennes. One can find a discussion of this phenomenon in the book Art
Gallery Theorems and Algorithms by Joseph O'Rourke.

Best wishes,


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

Phone: 718-262-2551
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