Order-2 apeirogonal tiling
In geometry, an order-2 apeirogonal tiling, apeirogonal dihedron, or infinite dihedron is a tiling of the plane consisting of two apeirogons. It may be considered an improper regular tiling of the Euclidean plane, with Schläfli symbol {∞, 2}. Two apeirogons, joined along all their edges, can completely fill the entire plane as an apeirogon is infinite in size and has an interior angle of 180°, which is half of a full 360°.
| Apeirogonal tiling | |
|---|---|
| Type | Regular tiling |
| Vertex configuration | ∞.∞ [[File:|40px]] |
| Face configuration | V2.2.2... |
| Schläfli symbol(s) | {∞,2} |
| Wythoff symbol(s) | 2 | ∞ 2 2 2 | ∞ |
| Coxeter diagram(s) | |
| Symmetry | [∞,2], (*∞22) |
| Rotation symmetry | [∞,2]+, (∞22) |
| Dual | Apeirogonal hosohedron |
| Properties | Vertex-transitive, edge-transitive, face-transitive |
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