Chamfered square tiling

In floor tiling, this pattern with small squares has been labeled as Metro Broadway Matte and alternate corner square tile. With large squares it has been called a Dijon tile pattern. == Variations==

Variations can be seen in different degrees of truncation. As well, geometric variations exist within a given symmetry. The second row shows the tilings with a 45 degree rotation which also look a little different. Lower symmetry forms are related to the cairo pentagonal tiling with axial edges expanded into rectangles. The chiral forms be seen as two overlapping pythagorean tilings. == Semikis square tiling==

The dual tiling looks like a square tiling with half of the squares divided into central triangles. It can be called a semikis square tiling, as alternate squares with kis operator applied. It can be seen as 4 sets of parallel lines. : == References ==