Snub hexagonal tiling

Encyclopedia : S : SN : SNU : Snub hexagonal tiling

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Vertex configuration||3.3.3.3.6 |- |bgcolor=#e7dcc3|Wythoff symbol||| 2 3 6 |- |bgcolor=#e7dcc3|Symmetry group||p6 |- |bgcolor=#e7dcc3|Dual||Floret pentagonal tiling |- |bgcolor=#e7dcc3|Properties||planar |- |align=center colspan=2|
Vertex Figure |}

In geometry, the Snub hexagonal tiling is a semiregular tiling of the Euclidean plane. There are four triangles and one hexagon on each vertex.

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 polyhedra by replacing the hexagon with a smaller polygon:

1. Triangle - Icosahedron (snub tetrahedron)
2. Square - Snub cube
3. Pentagon - Snub dodecahedron

Snub hexagonal tiling
Type	Semiregular tiling
Faces	triangles, hexagons
Edges	Infinite
Vertices	Infinite

3.3.3.3.3

3.3.3.3.4

3.3.3.3.5

See also:

• Tilings of regular polygons
• List of uniform planar tilings

 

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