# Rhombihexaoctagonal tiling

Rhombihexaoctagonal tiling

Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 6.4.8.4
Schläfli symbol rr{8,6} or ${\displaystyle r{\begin{Bmatrix}8\\6\end{Bmatrix}}}$
Wythoff symbol 6 | 8 2
Coxeter diagram
Symmetry group [8,6], (*862)
Dual Deltoidal hexaoctagonal tiling
Properties Vertex-transitive

In geometry, the rhombihexaoctagonal tiling is a semiregular tiling of the hyperbolic plane. It has Schläfli symbol of rr{8,6}.

## Symmetry

The dual tiling, called a deltoidal hexaoctagonal tiling represent the fundamental domains of *4232 symmetry, a half symmetry of [8,6], (*862) as [8,1+,6].

## Related polyhedra and tilings

From a Wythoff construction there are fourteen hyperbolic uniform tilings that can be based from the regular order-6 octagonal tiling.

Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 7 forms with full [8,6] symmetry, and 7 with subsymmetry.