Order-4 pentagonal tiling

Order-4 pentagonal tiling
Poincaré disk model of the hyperbolic plane
Type	Hyperbolic regular tiling
Vertex configuration	54
Schläfli symbol	{5,4} r{5,5} or ${\begin{Bmatrix}5\\5\end{Bmatrix}}$
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.