Infinite-order hexagonal tiling
From Wikipedia, the free encyclopedia
From Wikipedia, the free encyclopedia
In 2-dimensional hyperbolic geometry, the infinite-order hexagonal tiling is a regular tiling. It has Schläfli symbol of {6,∞}. All vertices are ideal, located at "infinity", seen on the boundary of the Poincaré hyperbolic disk projection.
| Infinite-order hexagonal tiling | |
|---|---|
Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic regular tiling |
| Vertex configuration | 6∞ |
| Schläfli symbol | {6,∞} |
| Wythoff symbol | ∞ | 6 2 |
| Coxeter diagram |        |
| Symmetry group | [∞,6], (*∞62) |
| Dual | Order-6 apeirogonal tiling |
| Properties | Vertex-transitive, edge-transitive, face-transitive |
There is a half symmetry form, , seen with alternating colors:
This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (6n).
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