Order-∞ pentagonal tiling

The order-∞ pentagonal tiling or infinite-order pentagonal tiling is a paracompact regular tiling of the hyperbolic plane. Infinitely many ideal pentagons join at each vertex. All vertices are ideal points at infinity.

Representations
An order–∞ pentagonal tiling has the following Coxeter diagrams:


 * o∞o5x (full symmetry)
 * o5x5o∞*a (pentagons of two types)