Truncated square tiling
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| Truncated square tiling | |
|---|---|
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| Type | Semiregular tiling |
| Faces | squares, octagons |
| Edges | Infinite |
| Vertices | Infinite |
| Vertex configuration | 4.8.8 |
| Wythoff symbol | 2 4 | 4 |
| Symmetry group | p4m |
| Dual | Tetrakis square tiling |
| Properties | planar, vertex-uniform |
 Vertex Figure |
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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. It has Schläfli symbol of t0,1{4,4}.
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.) The second one, 123, is shown in the table.
[edit] See also
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