Infinite-order triangular tiling
In geometry, the infinite-order triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,∞}. All vertices are ideal, located at "infinity" and seen on the boundary of the Poincaré hyperbolic disk projection.
| Infinite-order triangular tiling | |
|---|---|
Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic regular tiling |
| Vertex configuration | 3∞ |
| Schläfli symbol | {3,∞} |
| Wythoff symbol | ∞ | 3 2 |
| Coxeter diagram | |
| Symmetry group | [∞,3], (*∞32) |
| Dual | Order-3 apeirogonal tiling |
| Properties | Vertex-transitive, edge-transitive, face-transitive |
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.