Enumerating Uniform Polyhedral Surfaces with Triangular Faces

Jones, R. Hughes (1993) Enumerating Uniform Polyhedral Surfaces with Triangular Faces. In: 14th British Combinatorial Conference/Annual General Meeting of the Institute-of-Combinatorics-and-Its-Applications, Keele, England. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http:dx.doi.org/10.1016/0012-365X(94)00210-A

Abstract

The four infinite sets of planes x + y + z = n, -x + y + z = N, x - y + z = n, x + y - z = n, where n=...-3, -2, - 1,0, 1,2, 3,... divide space into tetrahedral and octahedral regions. A subset of the set of triangular faces of these regions may be chosen so that they form a uniform polyhedral surface, i.e. a surface whose vertices are all equivalent under a group of isometries. There are 26 such surfaces of hyperbolic type; these have 7, 8, 9 or 12 triangles around each vertex.

Item Type: Conference or workshop item (Other)
Subjects: Q Science > QA Mathematics (inc Computing science)
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science
Depositing User: P. Ogbuji
Date Deposited: 28 May 2009 20:34
Last Modified: 09 Jul 2014 14:27
Resource URI: https://kar.kent.ac.uk/id/eprint/19630 (The current URI for this page, for reference purposes)
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