Order-8 square tiling
In geometry, the order-8 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of.Symmetry
This tiling represents a hyperbolic kaleidoscope of 4 mirrors meeting as edges of a square, with eight squares around every vertex. This symmetry by orbifold notation is called with 4 order-4 mirror intersections. In Coxeter notation can be represented as , removing two of three mirrors in the 882 symmetry| symmetry. The *4444 symmetry can be doubled by bisecting the fundamental domain by a mirror, creating *884 symmetry.
This bicolored square tiling shows the even/odd reflective fundamental square domains of this symmetry. This bicolored tiling has a wythoff construction, or, :
Related polyhedra and tiling
This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure.
