Order-∞ square tiling

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

The tiling can be alternated to produce the order-∞ apeirogonal tiling.

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


 * o∞o4x (full symmetry)
 * o4x4o∞*a (squares of two types)