Tetrahexagonal tiling

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

There are for uniform constructions of this tiling, three of them as constructed by mirror removal from the [6,4] kaleidoscope.

Removing both mirror as [1+,6,4,1+], leaving [(3,∞,3,∞)] (*3232).

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 (*3232), shown here in two different centered views.

Adding a 2-fold rotation point in the center of each rhombi represents a (2*32) orbifold.