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Elongated triangular tiling
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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. It is named as a triangular tiling elongated by rows of squares, and given Schläfli symbol {3,6}:e.
Elongated triangular tiling | |
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Type | Semiregular tiling |
Vertex configuration | ![]() 3.3.3.4.4 |
Schläfli symbol | {3,6}:e s{∞}h1{∞} |
Wythoff symbol | 2 | 2 (2 2) |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Symmetry | cmm, [∞,2+,∞], (2*22) |
Rotation symmetry | p2, [∞,2,∞]+, (2222) |
Bowers acronym | Etrat |
Dual | Prismatic pentagonal tiling |
Properties | Vertex-transitive |
Conway calls it a isosnub quadrille.[1]
There are 3 regular and 8 semiregular tilings in the plane. This tiling is similar to the snub square tiling which also has 3 triangles and two squares on a vertex, but in a different order.