Rhombitetraapeirogonal tiling


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

Constructions

There are two uniform constructions of this tiling, one from or symmetry, and secondly removing the mirror middle,, gives a rectangular fundamental domain,.
NameRhombitetrahexagonal tiling
Image
Symmetry

 =

Schläfli symbolrrt0,1,2,3
Coxeter diagram

Symmetry

The dual of this tiling, called a deltoidal tetraapeirogonal tiling represents the fundamental domains of orbifold symmetry. Its fundamental domain is a Lambert quadrilateral, with 3 right angles.