| Infinite-order apeirogonal tiling | |
|---|---|
 Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic regular tiling |
| Vertex configuration | ∞∞ |
| Schläfli symbol | {∞,∞} |
| Wythoff symbol | ∞ | ∞ 2 ∞ ∞ | ∞ |
| Coxeter diagram |      
|
| Symmetry group | [∞,∞], (*∞∞2) [(∞,∞,∞)], (*∞∞∞) |
| Dual | self-dual |
| Properties | Vertex-transitive, edge-transitive, face-transitive |
The infinite-order apeirogonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {∞,∞}, which means it has countably infinitely many apeirogons around all its ideal vertices.