Semi - Equivelar Maps on the Torus and the Klein Bottle with few vertices

preprint2015arXivOpen access

Abstract

Semi-Equivelar maps are generalizations of maps on the surfaces of Archimedean solids to surfaces other than the 22-sphere. The well known 11 types of normal tilings of the plane suggest the possible types of semi-equivelar maps on the torus and the Klein bottle. In this article we classify (up to isomorphism) semi-equivelar maps on the torus and the Klein bottle with few vertices.

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