Jones, R. Hughes (1993) Enumerating Uniform Polyhedral Surfaces with Triangular Faces. Discrete Mathematics, 138 . pp. 281-292. ISSN 0012-365X. (doi:10.1016/0012-365X(94)00210-A) (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) (KAR id:19630)
| 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. | |
| 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: | Article |
|---|---|
| DOI/Identification number: | 10.1016/0012-365X(94)00210-A |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | P. Ogbuji |
| Date Deposited: | 28 May 2009 20:34 UTC |
| Last Modified: | 16 Nov 2021 09:57 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/19630 (The current URI for this page, for reference purposes) |
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