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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McMullen, P., Schulz, C. & Wills, J.M. Equivelar polyhedral manifolds inE 3 . Israel J. Math. 41, 331–346 (1982). https://doi.org/10.1007/BF02760539
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DOI: https://doi.org/10.1007/BF02760539