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.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.
