Semi-regular tilings of the hyperbolic plane

DOI10.1007/s00454-019-00156-0zbMath1459.52016arXiv1806.11393OpenAlexW2991737478MaRDI QIDQ2225663

Basudeb Datta, Subhojoy Gupta

Publication date: 10 February 2021

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.11393

zbMATH Keywords

Archimedean tilingssemi-equivelar mapssemi-regular tilingshyperbolic tilingsvertex-transitive tilings

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Polyhedral manifolds (52B70)

Related Items (3)

Quasi-vertex-transitive maps on the plane ⋮ Platonic solids, Archimedean solids and semi-equivelar maps on the sphere ⋮ Emergent time, cosmological constant and boundary dimension at infinity in combinatorial quantum gravity

Cites Work

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• An enduring error
• The uniform locally finite tilings of the plane
• Regular tessellations of surfaces and (p,q,2)-triangle groups
• Semi-equivelar maps on the torus and the Klein bottle are Archimedean
• Quasi-vertex-transitive maps on the plane
• Correction to: ``Semi-equivelar and vertex-transitive maps on the torus
• Semi-equivelar and vertex-transitive maps on the torus
• Equivelar maps on the torus
• Archimedean maps of higher genera
• Tilings by Regular Polygons
• Torsion free subgroups of Fuchsian groups and tessellations of surfaces

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