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Order-5 pentagonal tiling
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In geometry, the order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,5}, constructed from five pentagons around every vertex. As such, it is self-dual.
Order-5 pentagonal tiling | |
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![]() Poincaré disk model of the hyperbolic plane | |
Type | Hyperbolic regular tiling |
Vertex configuration | 55 |
Schläfli symbol | {5,5} |
Wythoff symbol | 5 | 5 2 |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() |
Symmetry group | [5,5], (*552) |
Dual | self dual |
Properties | Vertex-transitive, edge-transitive, face-transitive |