Snub hexagonal tiling

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Snub hexagonal tiling
Type	Semiregular tiling
Faces	triangles, hexagons
Edges	Infinite
Vertices	Infinite
Vertex configuration	3.3.3.3.6
Wythoff symbol	| 2 3 6
Symmetry group	p6
Dual	Floret pentagonal tiling
Properties	planar
Vertex Figure

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)

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

See also:

• Tilings of regular polygons
• List of uniform planar tilings