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Order-4 octagonal tiling
Regular tiling of the hyperbolic plane / From Wikipedia, the free encyclopedia
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In geometry, the order-4 octagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {8,4}. Its checkerboard coloring can be called a octaoctagonal tiling, and Schläfli symbol of r{8,8}.
Order-4 octagonal tiling | |
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![]() Poincaré disk model of the hyperbolic plane | |
Type | Hyperbolic regular tiling |
Vertex configuration | 84 |
Schläfli symbol | {8,4} r{8,8} |
Wythoff symbol | 4 | 8 2 |
Coxeter diagram | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Symmetry group | [8,4], (*842) [8,8], (*882) |
Dual | Order-8 square tiling |
Properties | Vertex-transitive, edge-transitive, face-transitive |