Truncated square tiling

In geometry, the truncated square tiling is a semiregular tiling of the Euclidean plane. There is one square and two octagons on each vertex. This is the only edge-to-edge tiling by regular convex polygons which contains an octagon.

Truncated square tiling
Type	Semiregular tiling
Faces	squares, octagons
Edges	Infinite
Vertices	Infinite
Vertex configuration	4.8.8
Wythoff symbol	2 4 | 4
Symmetry group	p4m
Dual polyhedron	Tetrakis square tiling
Properties	planar, vertex-uniform

It is topologically related to the polyhedron truncated octahedron, 4.6.6

There are 3 regular and 8 semiregular tilings in the plane.

There are two distinct vertex-uniform colorings of a truncated square tiling. (Naming the colors by indices around a vertex (4.8.8): 122, 123.)

See also

• Tilings of regular polygons
• List of uniform planar tilings