Infinite-order square tiling
In geometry, the infinite-order square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,∞}. All vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection.
| Infinite-order square tiling | |
|---|---|
Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic regular tiling |
| Vertex configuration | 4∞ |
| Schläfli symbol | {4,∞} |
| Wythoff symbol | ∞ | 4 2 |
| Coxeter diagram | |
| Symmetry group | [∞,4], (*∞42) |
| Dual | Order-4 apeirogonal tiling |
| Properties | Vertex-transitive, edge-transitive, face-transitive |
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