Octagonal tiling
In geometry, the octagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {8,3}, having three regular octagons around each vertex. It also has a construction as a truncated order-8 square tiling, t{4,8}.
| Octagonal tiling | |
|---|---|
Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic regular tiling |
| Vertex configuration | 83 |
| Schläfli symbol | {8,3} t{4,8} |
| Wythoff symbol | 3 | 8 2 2 8 | 4 4 4 4 | |
| Coxeter diagram | |
| Symmetry group | [8,3], (*832) [8,4], (*842) [(4,4,4)], (*444) |
| Dual | Order-8 triangular tiling |
| Properties | Vertex-transitive, edge-transitive, face-transitive |
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