In geometry, the rhombitetraapeirogonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of rr.
There are two uniform constructions of this tiling, one from [∞,4] or (*∞42) symmetry, and secondly removing the mirror middle, [∞,1<sup>+</sup>,4], gives a rectangular fundamental domain [∞,∞,∞], (*∞222).
| Name | Rhombitetrahexagonal tiling | ||
|---|---|---|---|
| Image | |||
| Symmetry | [∞,4] (
| [∞,∞,∞] = [∞,1<sup>+</sup>,4] (
| |
| Schläfli symbol | rr | t0,1,2,3 | |
| Coxeter diagram |
The dual of this tiling, called a deltoidal tetraapeirogonal tiling represents the fundamental domains of (*∞222) orbifold symmetry. Its fundamental domain is a Lambert quadrilateral, with 3 right angles.