Semi-regular Tilings of the Hyperbolic Plane

Datta, Basudeb and Gupta, Subhojoy (2019) Semi-regular Tilings of the Hyperbolic Plane. In: DISCRETE & COMPUTATIONAL GEOMETRY .

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Abstract

A semi-regular tiling of the hyperbolic plane is a tessellation by regular geodesic polygons with the property that each vertex has the same vertex-type, which is a cyclic tuple of integers that determine the number of sides of the polygons surrounding the vertex. We determine combinatorial criteria for the existence, and uniqueness, of a semi-regular tiling with a given vertex-type, and pose some open questions.

Item Type:	Journal Article
Publication:	DISCRETE & COMPUTATIONAL GEOMETRY
Publisher:	SPRINGER
Additional Information:	copyright of this article belongs to SPRINGER
Keywords:	Semi-regular tilings; Hyperbolic tilings; Archimedean tilings; Semi-equivelar maps; Vertex-transitive tilings
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	20 Dec 2019 10:13
Last Modified:	20 Dec 2019 10:13
URI:	http://eprints.iisc.ac.in/id/eprint/64092

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