Order-4 pentagonal tiling | |
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Poincaré disk model of the hyperbolic plane | |
Type | Hyperbolic regular tiling |
Vertex configuration | 54 |
Schläfli symbol | {5,4} r{5,5} or |
Wythoff symbol | 4 | 5 2 2 | 5 5 |
Coxeter diagram | or |
Symmetry group | [5,4], (*542) [5,5], (*552) |
Dual | Order-5 square tiling |
Properties | Vertex-transitive, edge-transitive, face-transitive |
In geometry, the order-4 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,4}. It can also be called a pentapentagonal tiling in a bicolored quasiregular form.