SMALL RHOMBITRIHEXAGONAL TILING

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 ''t_0,2{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.)

Contents

See also

References

See also

★ Tilings of regular polygons

★ List of uniform tilings

References

★ Tilings and Patterns, Grünbaum, Branko ; and Shephard, G. C., , , W. H. Freeman, 1987, 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