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Semi-equivelar maps on the surface of Euler characteristic -1


Abstract


Semi-Equivelar maps are generalizations of Archimedean solids to surfaces other than the 2-sphere. In an earlier work a complete classification of semi-equivelar map of type (3^5, 4) on the surface of Euler characteristic -1 was given. Vertex transitive semi-equivelar maps on the double torus have been classified. In this article we study these types of maps on the surface of Euler characteristic -1. We classify them and show that none of them is vertex transitive.

DOI Code: 10.1285/i15900932v37n2p91

Keywords: vertex transitive maps; Archimedean solids; semi-Equivelar Maps

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