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

Authors

  • A. K. Tiwari
  • A. K. Upadhyay

DOI:

https://doi.org/10.1285/i15900932v37n2p91

Keywords:

vertex transitive maps, Archimedean solids, semi-Equivelar Maps

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.

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Published

15-02-2018

Issue

Volume 37, Issue 2 (2017)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode