Order-5 pentagonal tiling

The order-5 pentagonal tiling or pepat is a regular tiling of the hyperbolic plane. 5 pentagons join at each vertex. It is self-dual.

It is the simplest self-dual regular hyperbolic tiling.

It can be formed by alternating the order-5 square tiling.

Representations
The order-5 pentagonal tiling has the following Coxeter diagrams:


 * x5o5o (main symmetry)
 * s4o5o (as alternated order-5 square tiling)

Related polytopes
Two uniform polyhedra, the dodecadodecahedron and the ditrigonary dodecadodecahedron, along with their duals, the medial rhombic triacontahedron and medial triambic icosahedron, are quotients of this tiling.