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Equivelar polyhedral manifolds inE 3 |
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| Authors: | P McMullen Ch Schulz J M Wills |
| Institution: | 1. University College London, London, UK 2. Fernuniversit?t Hagen, Hagen, FRG 3. Universit?t Siegen, Siegen, FRG |
| Abstract: | An equivelar polyhedral 2-manifold in the classM p,q is one embedded inE 3 in which every face is a convexp-gon and every vertex isq-valent. Various constructions for equivelar manifolds are described, and it is shown that, in certain classesM p,q, there is a manifold of given genusg≧2 for all but finitely manyg. |
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