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.

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


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