Hexaoctagonal tiling


In geometry, the hexaoctagonal tiling is a uniform tiling of the hyperbolic plane.

Constructions

There are four uniform constructions of this tiling, three of them as constructed by mirror removal from the kaleidoscope. Removing the mirror between the order 2 and 4 points, , gives ,. Removing the mirror between the order 2 and 8 points, , gives ,. Removing two mirrors as , leaves remaining mirrors.
Uniform
Coloring
Symmetry

 =

=



Symbolrrr
Coxeter
diagram		 = = =

Symmetry

The dual tiling has face configuration V6.8.6.8, and represents the fundamental domains of a quadrilateral kaleidoscope, orbifold, shown here. Adding a 2-fold gyration point at the center of each rhombi defines a orbifold. These are subsymmetries of 862 symmetry|.

Related polyhedra and tiling