Great rhombitrihexagonal tiling
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| Great rhombitrihexagonal tiling | |
|---|---|
 |
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| Type | Uniform tiling |
| Vertex figure | 4.6.12 |
| Schläfli symbol |  |
| Wythoff symbol | 2 6 3 | |
| Coxeter-Dynkin |    |
| Symmetry | p6m |
| Dual | Bisected hexagonal tiling |
| Properties | Vertex-transitive |
 4.6.12 |
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In geometry, the Great rhombitrihexagonal tiling (or Omnitruncated trihexagonal tiling) is a semiregular tiling of the Euclidean plane. There are one square, one hexagon, and one dodecagon (12-sides) on each vertex. It has Schläfli symbol of t0,1,2{3,6}.
There are 3 regular and 8 semiregular tilings in the plane.
This tiling is topologically related as a part of sequence of omnitruncated polyhedra with vertex figure (4.6.2n). This set of polyhedra are zonohedrons.
 (4.6.4) |
 (4.6.6) |
 (4.6.8) |
 (4.6.10) |
 (4.6.12) |
 (4.6.14) |
There is only one uniform colorings of a Great rhombitrihexagonal tiling. (Naming the colors by indices around a vertex: 123.)
[edit] See also
[edit] References
- Robert Williams The Geometrical Foundation of Natural Structure: A Source Book of Design New York: Dover, 1979. p41
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