Semi-equivelar maps on the surface of Euler characteristic

DOI10.1285/i15900932v37n2p91zbMath1388.52008arXiv1310.5219OpenAlexW2963703637MaRDI QIDQ4639073

Ashish Kumar Upadhyay, Anand K. Tiwari

Publication date: 2 May 2018

Full work available at URL: https://arxiv.org/abs/1310.5219

zbMATH Keywords

Archimedean solidsvertex transitive mapssemi-equivelar maps

Mathematics Subject Classification ID

Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyhedral manifolds (52B70)

Related Items (7)

Symmetries of Maps on Surfaces ⋮ Doubly semiequivelar maps on torus and Klein bottle ⋮ Doubly semi-equivelar maps on the plane and the torus ⋮ Platonic solids, Archimedean solids and semi-equivelar maps on the sphere ⋮ A classification of semi-equivelar maps on the surface of Euler characteristic \(-1\) ⋮ Semi-equivelar maps on the surface of Euler characteristic ⋮ A new class of quantum codes associate with a class of maps

Cites Work

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• Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
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• Semi-equivelar maps
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• A note on the existence of \(\{k, k\}\)-equivelar polyhedral maps
• 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
• Vertex-transitive graphs and vertex-transitive maps
• Theory of Maps on Orientable Surfaces
• Semi-equivelar maps on the surface of Euler characteristic
• Semi-equivelar maps on the torus and the Klein bottle with few vertices
• Triangulations on closed surfaces covered by vertices of given degree
• Equivelar polyhedra with few vertices

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