Snub trihexagonal tiling
| Snub trihexagonal tiling | |
|---|---|
| Type | Semiregular tiling |
| Vertex configuration | 3.3.3.3.6 |
| Schläfli symbol | sr{6,3} or |
| Wythoff symbol | | 6 3 2 |
| Coxeter diagram | |
| Symmetry | p6, [6,3]+, (632) |
| Rotation symmetry | p6, [6,3]+, (632) |
| Bowers acronym | Snathat |
| Dual | Floret pentagonal tiling |
| Properties | Vertex-transitive chiral |
In geometry, the snub hexagonal tiling (or snub trihexagonal tiling) is a semiregular tiling of the Euclidean plane. There are four triangles and one hexagon on each vertex. It has Schläfli symbol sr{3,6}. The snub tetrahexagonal tiling is a related hyperbolic tiling with Schläfli symbol sr{4,6}.
Conway calls it a snub hextille, constructed as a snub operation applied to a hexagonal tiling (hextille).
There are three regular and eight semiregular tilings in the plane. This is the only one which does not have a reflection as a symmetry.
There is only one uniform coloring of a snub trihexagonal tiling. (Labeling the colors by numbers, "3.3.3.3.6" gives "11213".)