Apeirogonal tiling

The order-3 apeirogonal tiling, or just apeirogonal tiling, is a paracompact regular tiling of the hyperbolic plane. 3 apeirogons join at each vertex.

Representations
The apeirogonal tiling has the following Coxeter diagrams:
 * x∞o3o (full symmetry)
 * x∞x∞o (as truncated order-∞ apeirogonal tiling)
 * x∞x∞x∞*a (three types of faces)