In geometry, the order-8 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of .
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 (*4444) with 4 order-4 mirror intersections. In Coxeter notation can be represented as [1<sup>+</sup>,8,8,1<sup>+</sup>], (*4444 orbifold) removing two of three mirrors (passing through the square center) in the [8,8] symmetry. The *4444 symmetry can be doubled by bisecting the fundamental domain (square) by a mirror, creating
This bicolored square tiling shows the even/odd reflective fundamental square domains of this symmetry. This bicolored tiling has a wythoff construction (4,4,4), or, :
This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (4n).