Newsgroups:sci.mathFrom:Mike.Paterson@dcs.warwick.ac.uk (Mike Paterson)Subject:Re: polyhedra obsession, questionsOrganization:Department of Computer Science, Warwick University, EnglandDate:Tue, 3 Jan 1995 16:45:11 GMT

In article <ph-1612942034480001@ccl-kstar-node.net.yale.edu> ph@directory.yale.edu 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 --