Infinite-order square tiling


In geometry, the infinite-order square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of. All vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection.

Uniform colorings

There is a half symmetry form,, seen with alternating colors:

Symmetry

This tiling represents the mirror lines of *∞∞∞∞ symmetry. The dual to this tiling defines the fundamental domains of orbifold symmetry.

Related polyhedra and tiling

This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure.