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Tetraoctagonal tiling
From Wikipedia, the free encyclopedia
In geometry, the tetraoctagonal tiling is a uniform tiling of the hyperbolic plane.
Tetraoctagonal tiling | |
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![]() Poincaré disk model of the hyperbolic plane | |
Type | Hyperbolic uniform tiling |
Vertex configuration | (4.8)2 |
Schläfli symbol | r{8,4} or rr{8,8} rr(4,4,4) t0,1,2,3(∞,4,∞,4) |
Wythoff symbol | 2 | 8 4 |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Symmetry group | [8,4], (*842) [8,8], (*882) [(4,4,4)], (*444) [(∞,4,∞,4)], (*4242) |
Dual | Order-8-4 quasiregular rhombic tiling |
Properties | Vertex-transitive edge-transitive |