TRUNCATED HEXAGONAL TILING

In geometry, the 'truncated hexagonal tiling' is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each vertex. It has Schläfli symbol of ''t_0,1{6,3}'' or ''t_1,2{3,6}''.
This tiling is topologically related as a part of sequence of uniform truncated polyhedra with vertex figure (3.2n.2n), and continues into the hyperbolic plane.

(3.4.4)

(3.6.6)

(3.8.8)

(3.10.10)

(3.12.12)

(3.14.14)

There are 3 regular and 8 semiregular tilings in the plane.
There is only one uniform colorings of a truncated hexagonal tiling. (Naming the colors by indices around a vertex: 122.) The coloring shown is a mixture of 3 types of colored-vertices.

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. p39