Newsgroups:     sci.math
From:  (Mike Paterson)
Subject:        Re: polyhedra obsession, questions
Organization:   Department of Computer Science, Warwick University, England
Date:           Tue, 3 Jan 1995 16:45:11 GMT

In article <> writes:
>I once built models of all eight convex polyhedra composed entirely of
>equilateral triangles.

A related question that has bothered me for many years is whether it is 
possible to build a toroidal polyhedron out of equilateral triangles,
with six triangles at each vertex.

I suspect not but have been unable to settle it.

A similar question arises if the restriction to "six triangles at each vertex"
is removed. This seems likely to be true.

 Mike Paterson