Snub square tiling
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Snub square tiling | |
---|---|
Type | Semiregular tiling |
Faces | triangles, squares |
Edges | Infinite |
Vertices | Infinite |
Vertex configuration | 3.3.4.3.4 |
Wythoff symbol | | 2 4 4 |
Symmetry group | p4g |
Dual | Cairo pentagonal tiling |
Properties | planar, vertex-uniform |
Vertex Figure |
In geometry, the snub square tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. It has Schläfli symbol of s{4,4}.
There are 3 regular and 8 semiregular tilings in the plane.
This tiling is related to the elongated triangular tiling which also has 3 triangles and two squares on a vertex, but in a different order.
There are two distinct vertex-uniform colorings of a snub square tiling. (Naming the colors by indices around a vertex (3.3.4.3.4): 11212, 11213.) The coloring shown 12313 is not uniform.
See also: