| 词条 | Order-6 hexagonal tiling |
| 释义 |
In geometry, the order-6 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,6} and is self-dual. SymmetryThis tiling represents a hyperbolic kaleidoscope of 6 mirrors defining a regular hexagon fundamental domain. This symmetry by orbifold notation is called *333333 with 6 order-3 mirror intersections. In Coxeter notation can be represented as [6*,6], removing two of three mirrors (passing through the hexagon center) in the [6,6] symmetry. The even/odd fundamental domains of this kaleidoscope can be seen in the alternating colorings of the {{CDD|node_1|split1-66|branch}} tiling: Related polyhedra and tilingThis tiling is topologically related as a part of sequence of regular tilings with order-6 vertices with Schläfli symbol {n,6}, and Coxeter diagram {{CDD|node_1|n|node|6|node}}, progressing to infinity. {{Order-6 regular tilings}}This tiling is topologically related as a part of sequence of regular tilings with hexagonal faces, starting with the hexagonal tiling, with Schläfli symbol {6,n}, and Coxeter diagram {{CDD|node_1|6|node|n|node}}, progressing to infinity. {{Hexagonal_regular_tilings}}{{Order 6-6 tiling table}}{{Order 3-2-3-2 tiling table}}References
See also{{Commonscat|Order-6 hexagonal tiling}}
External links
7 : Hexagonal tilings|Hyperbolic tilings|Isogonal tilings|Isohedral tilings|Order-6 tilings|Regular tilings|Self-dual tilings |
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