2-semi-equivelar maps on the torus and Klein bottle with few vertices

Anand Kumar Tiwari, Yogendra Singh, Amit Tripathi

Published 2022-06-13Version 1

The $k$-semi equivelar maps, for $k \geq 2$, are generalizations of maps on the surfaces of Johnson solids to closed surfaces other than the 2-sphere. In the present study, we determine 2-semi equivelar maps of curvature 0 exhaustively on the torus and the Klein bottle. Furthermore, we classify (up to isomorphism) all these 2-semi equivelar maps on the surfaces with up to 12 vertices.