Uniform tilings in hyperbolic plane
id:
uniform-tilings-in-hyperbolic-plane-162-13286530
title:
Uniform tilings in hyperbolic plane
text:
In hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic plane which has regular polygons as faces and is vertex-transitive (transitive on its vertices, isogonal, i.e. there is an isometry mapping any vertex onto any other). It follows that all vertices are congruent, and the tiling has a high degree of rotational and translational symmetry. Uniform tilings can be identified by their vertex config
brand slug:
wiki
category slug:
encyclopedia
description:
Symmetric subdivision in hyperbolic geometry
original url:
https://en.wikipedia.org/wiki/Uniform_tilings_in_hyperbolic_plane
date created:
2008-07-30T03:17:26Z
date modified:
2024-08-27T20:27:27Z
main entity:
{"identifier":"Q7885120","url":"https://www.wikidata.org/entity/Q7885120"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/2c/Uniform_polyhedron-63-t1.svg","width":805,"height":809}
fields total:
13
integrity:
16