| Order-7 truncated triangular tiling | |
|---|---|
Poincaré_disk_model |
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| Type | Hyperbolic semiregular tiling |
| Vertex figure | 7.6.6 |
| Schläfli symbol | t{3,7} |
| Wythoff symbol | 2 7 | 3 |
| Coxeter-Dynkin | |
| Symmetry | [7,3] |
| Dual | Order-3 heptakis heptagonal tiling |
| Properties | Vertex-transitive |
In geometry, the Order 7 truncated heptagonal tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There are two hexagons and one heptagon on each vertex, forming a pattern similar to a conventional soccer ball (truncated icosahedron) with heptagons in place of pentagons. It has Schläfli symbol of t1,2{7,3}.
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The dual tiling is called an order-3 heptakis heptagonal tiling, named for being constructible as an order-3 heptagonal tiling with every heptagon divided into seven triangles by the center point.
