Trioctagonal tiling
In geometry, the trioctagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 octagonal tiling. There are two triangles and two octagons alternating on each vertex. It has Schläfli symbol of r{8,3}.
| Trioctagonal tiling | |
|---|---|
Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic uniform tiling |
| Vertex configuration | (3.8)2 |
| Schläfli symbol | r{8,3} or |
| Wythoff symbol | 2 | 8 3| 3 3 | 4 |
| Coxeter diagram | or |
| Symmetry group | [8,3], (*832) [(4,3,3)], (*433) |
| Dual | Order-8-3 rhombille tiling |
| Properties | Vertex-transitive edge-transitive |
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