Quasitruncated square tiling

The quasitruncated square tiling, or quitsquat, is a non-convex uniform tiling of the Euclidean plane. 1 square and 2 octagrams join at each vertex of this tiling. It can be formed by quasitruncation of the regular square tiling, with the squares seen as 4/3-gons.

Vertex coordinates
Coordinates for the vertices of a quasitruncated square tiling of edge length 1 are given by all permutations of where i and j range over the integers.
 * $$\left(±\frac12+(\sqrt2-1)i,\,±\frac{\sqrt2-1}{2}+j(\sqrt2-1)\right),$$

Representations
A quasitruncated square tiling has the following Coxeter diagrams:


 * x4/3x4o (- ) (regular)
 * x4/3x4/3o (retrograde)
 * x4/3x4/3x (octagrams of two types)