Elongated triangular tiling
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| Elongated triangular tiling | |
|---|---|
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| Type | Semiregular tiling |
| Faces | triangles, squares |
| Edges | Infinite |
| Vertices | Infinite |
| Vertex configuration | 3.3.3.4.4 |
| Wythoff symbol | | 2 2 (2|2) |
| Symmetry group | cmm |
| Dual | Prismatic pentagonal tiling |
| Properties | planar, vertex-uniform |
 Vertex Figure |
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In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex.
There are 3 regular and 8 semiregular tilings in the plane.
This tiling is related to the Snub square tiling which also has 3 triangles and two squares on a vertex, but in a different order.
This is also the only uniform tiling that can't be created as a Wythoff construction.
There is only one vertex-uniform colorings of a elongated triangular tiling. (Naming the colors by indices around a vertex (3.3.3.4.4): 11122.) Second nonuniform coloring 11123 also exists. The coloring shown is a mixture of 12134 and 21234 colorings.
See also:
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