Doubly semiequivelar maps on torus and Klein bottle

DOI10.1155/2020/5674172zbMath1479.52031OpenAlexW3013447292MaRDI QIDQ2176064

Yogendra Singh, Anand K. Tiwari, Punam Gupta, Amit Tripathi

Publication date: 30 April 2020

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/5674172

zbMATH Keywords

torusKlein bottle2-uniform tilingsdoubly semiequivelar maps

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (1)

Doubly semi-equivelar maps on the plane and the torus

Cites Work

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• Tilings by regular polygons. II: A catalog of tilings
• Enumeration of platonic maps on the torus
• The edge-minimal polyhedral maps of Euler characteristic \(-8\)
• Semi-equivelar maps
• Equivelar maps on the torus
• Construction and enumeration of regular maps on the torus
• Degree-regular triangulations of torus and Klein bottle
• Archimedean maps of higher genera
• Degree-regular triangulations of the double-torus
• Archimedean solids of genus two
• On enumeration of a class of toroidal graphs
• Semi-equivelar maps on the surface of Euler characteristic
• Semi-equivelar maps on the torus and the Klein bottle with few vertices
• Equivelar polyhedra with few vertices

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