Snub octaoctagonal tiling

Snub octaoctagonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration3.3.8.3.8
Schläfli symbols{8,4}
sr{8,8}
Wythoff symbol| 8 8 2
Coxeter diagram
or
Symmetry group[8,8]+, (882)
[8+,4], (8*2)
DualOrder-8-8 floret hexagonal tiling
PropertiesVertex-transitive

In geometry, the snub octaoctagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{8,8}.

Images

Drawn in chiral pairs, with edges missing between black triangles:

Symmetry

A higher symmetry coloring can be constructed from [8,4] symmetry as s{8,4}, . In this construction there is only one color of octagon.

References

See also

Wikimedia Commons has media related to Uniform tiling 3-3-8-3-8.

This article is issued from Wikipedia - version of the 5/13/2015. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.