SNUB HEXAGONAL TILING

In geometry, the 'Snub hexagonal tiling' (or ''snub trihexagonal tiling'') is a semiregular tiling of the Euclidean plane. There are four triangles and one hexagon on each vertex. It has Schläfli symbol of ''s{3,6}''.
There are 3 regular and 8 semiregular tilings in the plane. This is the only one of the semiregular tilings which does not have a reflection as a symmetry.
This tiling is topologically related as a part of sequence of snubbed polyhedra with vertex figure (3.3.3.3.n).

(3.3.3.3.3)

(3.3.3.3.4)

(3.3.3.3.5)

'3.3.3.3.6'

3.3.3.3.7

There is only one uniform coloring of a snub hexagonal tiling. (Naming the colors by indices (3.3.3.3.6): 11213.)

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