Rhombitrioctagonal tiling
In geometry, the rhombitrioctagonal tiling is a semiregular tiling of the hyperbolic plane. At each vertex of the tiling there is one triangle and one octagon, alternating between two squares. The tiling has Schläfli symbol rr{8,3}. It can be seen as constructed as a rectified trioctagonal tiling, r{8,3}, as well as an expanded octagonal tiling or expanded order-8 triangular tiling.
| Rhombitrioctagonal tiling | |
|---|---|
Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic uniform tiling |
| Vertex configuration | 3.4.8.4 |
| Schläfli symbol | rr{8,3} or s2{3,8} |
| Wythoff symbol | 3 | 8 2 |
| Coxeter diagram | or |
| Symmetry group | [8,3], (*832) [8,3+], (3*4) |
| Dual | Deltoidal trioctagonal tiling |
| Properties | Vertex-transitive |
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