Tetrahexagonal tiling


In geometry, the tetrahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol r.

Constructions

There are for uniform constructions of this tiling, three of them as constructed by mirror removal from the kaleidoscope. Removing the last mirror, , gives ,. Removing the first mirror , gives ,. Removing both mirror as , leaving .
Uniform
Coloring
Fundamental
Domains
Schläflirrrr
Symmetry

 =

=

=

or
Symbolrrrrt0,1,2,3
Coxeter
diagram		 = = =
or

Symmetry

The dual tiling, called a rhombic tetrahexagonal tiling, with face configuration V4.6.4.6, and represents the fundamental domains of a quadrilateral kaleidoscope, orbifold, shown here in two different centered views. Adding a 2-fold rotation point in the center of each rhombi represents a orbifold.

Related polyhedra and tiling