| 词条 | Octagonal tiling | |||||||||||||
| 释义 |
In geometry, the octagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {8,3}, having three regular octagons around each vertex. It also has a construction as a truncated order-8 square tiling, t{4,8}. Uniform coloringsLike the hexagonal tiling of the Euclidean plane, there are 3 uniform colorings of this hyperbolic tiling. The dual tiling V8.8.8 represents the fundamental domains of [(4,4,4)] symmetry.
Related polyhedra and tilingsThis tiling is topologically part of sequence of regular polyhedra and tilings with Schläfli symbol {n,3}. {{Order-3 tiling table}}And also is topologically part of sequence of regular tilings with Schläfli symbol {8,n}. {{Octagonal tilings}}From a Wythoff construction there are ten hyperbolic uniform tilings that can be based from the regular octagonal tiling. Drawing the tiles colored as red on the original faces, yellow at the original vertices, and blue along the original edges, there are 10 forms. {{Order 8-3 tiling table}}{{Order 8-4 tiling table}}{{Order 4-4-4 tiling table}}See also{{Commonscat|Order-3 octagonal tiling}}
References{{refbegin}}
External links
5 : Hyperbolic tilings|Isogonal tilings|Isohedral tilings|Regular tilings|Octagonal tilings |
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