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 ''t_0,1,2{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.)

Contents

See also

References

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