Triheptagonal tiling
In geometry, the triheptagonal tiling is a semiregular tiling of the hyperbolic plane, representing a rectified Order-3 heptagonal tiling. There are two triangles and two heptagons alternating on each vertex. It has Schläfli symbol of r{7,3}.
| Triheptagonal tiling | |
|---|---|
Poincaré disk model of the hyperbolic plane | |
| Type | Hyperbolic uniform tiling |
| Vertex configuration | (3.7)2 |
| Schläfli symbol | r{7,3} or |
| Wythoff symbol | 2 | 7 3 |
| Coxeter diagram | or |
| Symmetry group | [7,3], (*732) |
| Dual | Order-7-3 rhombille tiling |
| Properties | Vertex-transitive edge-transitive |
Compare to trihexagonal tiling with vertex configuration 3.6.3.6.
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