Truncated hexagonal tiling
In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each vertex.
| Truncated hexagonal tiling | |
|---|---|
| Type | Semiregular tiling |
| Vertex configuration | 3.12.12 |
| Schläfli symbol | t{6,3} |
| Wythoff symbol | 2 3 | 6 |
| Coxeter diagram | |
| Symmetry | p6m, [6,3], (*632) |
| Rotation symmetry | p6, [6,3]+, (632) |
| Bowers acronym | Toxat |
| Dual | Triakis triangular tiling |
| Properties | Vertex-transitive |
As the name implies this tiling is constructed by a truncation operation applies to a hexagonal tiling, leaving dodecagons in place of the original hexagons, and new triangles at the original vertex locations. It is given an extended Schläfli symbol of t{6,3}.
Conway calls it a truncated hextille, constructed as a truncation operation applied to a hexagonal tiling (hextille).
There are 3 regular and 8 semiregular tilings in the plane.
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