Semi-regular Tilings of the Hyperbolic Plane

被引：7

作者：

Datta, Basudeb ^{[1
]}

Gupta, Subhojoy ^{[1
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2021年 / 65卷 / 02期

关键词：

Semi-regular tilings; Hyperbolic tilings; Archimedean tilings; Semi-equivelar maps; Vertex-transitive tilings; EQUIVELAR MAPS; UNIFORM MAPS; TESSELLATIONS; SURFACES;

D O I：

10.1007/s00454-019-00156-0

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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.

引用

页码：531 / 553

页数：23

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