| Truncated trihexagonal tiling | |
|---|---|
| Type | Semiregular tiling |
| Vertex configuration | 4.6.12 |
| Schläfli symbol | t0,1,2{6,3} |
| Wythoff symbol | 2 6 3 | |
| Coxeter-Dynkin | |
| Symmetry | p6m, [6,3], *632 |
| Dual | Bisected hexagonal tiling |
| Properties | Vertex-transitive |
Vertex figure: 4.6.12 |
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In geometry, the truncated trihexagonal tiling is a semiregular tiling of the Euclidean plane. There are one square, one hexagon, and one dodecagon on each vertex. It has Schläfli symbol of t0,1,2{3,6}.
There are 3 regular and 8 semiregular tilings in the plane.
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There is only one uniform coloring of a truncated trihexagonal tiling, with faces colored by polygon sides.
A 2-uniform coloring allows for alternately colored hexagons.
This tiling is topologically related as a part of sequence of omnitruncated polyhedra with vertex figure (4.6.2p) and Coxeter-Dynkin diagram . The following forms exist as tilings of the hyperbolic plane, starting with the truncated triheptagonal tiling. This set of polyhedra are zonohedrons.
(4.6.4) |
(4.6.6) |
(4.6.8) |
(4.6.10) |
(4.6.12) |
(4.6.14) |
(4.6.16) |
(4.6.18) |