Great rhombitrihexagonal tiling
- Great rhombitrihexagonal tiling
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}".
Conway calls it a truncated hexadeltille, constructed as a truncation operation applied to a trihexagonal tiling (hexadeltille).
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 (4.6.2p) and Coxeter-Dynkin diagram s.
There is only one uniform colorings of a Great rhombitrihexagonal tiling. (Naming the colors by indices around a vertex: 123.)
See also
* Tilings of regular polygons
* List of uniform tilings
References
* Robert Williams "The Geometrical Foundation of Natural Structure: A Source Book of Design" New York: Dover, 1979. p41
* John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, "The Symmetry of Things" 2008, ISBN 978-1-56881-220-5 [http://www.akpeters.com/product.asp?ProdCode=2205]
External links
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