Tetraapeirogonal tiling

The tetraapeirogonal tiling, or tezt, is a paracompact uniform tiling of the hyperbolic plane. 2 apeirogons and 2 squares join at each vertex. It can be formed from the recitfication of either the order-4 apeirogonal tiling or its dual order-∞ square tiling.

Representations
The tetraapeirogonal tiling has the following Coxeter diagrams:
 * o∞x4o (full symmetry)
 * x∞o∞x (as small rhombated order-∞ apeirogonal tiling)
 * x4o4x∞*a (half symmetry, 2 types of squares)