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Uniform tilings in hyperbolic plane

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…

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Wythoff construction

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Uniform tilings in hyperbolic plane

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uniform tilings triangle orbifold group coxeter contains hyperbolic tiling regular vertex families fundamental ideal symmetry also polygons domains right vertices

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