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".)