Small rhombitrihexagonal tiling
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| Small rhombitrihexagonal tiling | |
|---|---|
 |
|
| Type | Uniform tiling |
| Vertex figure | 3.4.6.4 |
| Schläfli symbol |  |
| Wythoff symbol | 3 | 6 2 |
| Coxeter-Dynkin |     |
| Symmetry | p6m |
| Dual | Deltoidal trihexagonal tiling |
| Properties | Vertex-transitive |
 3.4.6.4 |
|
In geometry, the Small rhombitrihexagonal tiling (or just rhombitrihexagonal tiling) is a semiregular tiling of the Euclidean plane. There are one triangle, two squares, and one hexagon on each vertex. It has Schläfli symbol of t0,2{3,6}.
There are 3 regular and 8 semiregular tilings in the plane.
This tiling is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4), and continues as tilings of the hyperbolic plane.
 (3.4.3.4) |
 (3.4.4.4) |
 (3.4.5.4) |
 (3.4.6.4) |
 (3.4.7.4) |
 An ornamental version |
 The game Kensington |
There is only one uniform colorings in a small rhombitrihexagonal tiling. (Naming the colors by indices around a vertex (3.4.6.4): 1232.)
[edit] See also
[edit] References
- Grünbaum, Branko ; and Shephard, G. C. (1987). Tilings and Patterns. New York: W. H. Freeman. ISBN 0-716-71193-1. (Chapter 2.1: Regular and uniform tilings, p.58-65)
- Williams, Robert The Geometrical Foundation of Natural Structure: A Source Book of Design New York: Dover, 1979. p40
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