Jones, R.G (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.
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| 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) |
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| 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: | 02 Jun 2009 07:50 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/19630 (The current URI for this page, for reference purposes) |
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