Rhombipentahexagonal tiling

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Rhombipentahexagonal tiling
Rhombipentahexagonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 5.4.6.4
Schläfli symbol rr{6,5} or r{65}
Wythoff symbol 5 | 6 2
Coxeter diagram File:CDel node 1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node 1.png
Symmetry group [6,5], (*652)
Dual Deltoidal pentahexagonal tiling
Properties Vertex-transitive

In geometry, the rhombipentahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,2{6,5}.

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Uniform hexagonal/pentagonal tilings
Symmetry: [6,5], (*652) [6,5]+, (652) [6,5+], (5*3) [1+,6,5], (*553)
File:CDel node 1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node.png File:CDel node 1.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 5.pngFile:CDel node.png File:CDel node.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 5.pngFile:CDel node.png File:CDel node.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 5.pngFile:CDel node 1.png File:CDel node.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node 1.png File:CDel node 1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node 1.png File:CDel node 1.pngFile:CDel 6.pngFile:CDel node 1.pngFile:CDel 5.pngFile:CDel node 1.png File:CDel node h.pngFile:CDel 6.pngFile:CDel node h.pngFile:CDel 5.pngFile:CDel node h.png File:CDel node.pngFile:CDel 6.pngFile:CDel node h.pngFile:CDel 5.pngFile:CDel node h.png File:CDel node h.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node.png
File:H2 tiling 256-1.png File:H2 tiling 256-3.png File:H2 tiling 256-2.png File:H2 tiling 256-6.png File:H2 tiling 256-4.png File:H2 tiling 256-5.png File:H2 tiling 256-7.png File:Uniform tiling 65-snub.png File:H2 tiling 355-1.png
{6,5} t{6,5} r{6,5} 2t{6,5}=t{5,6} 2r{6,5}={5,6} rr{6,5} tr{6,5} sr{6,5} s{5,6} h{6,5}
Uniform duals
File:CDel node f1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node.png File:CDel node f1.pngFile:CDel 6.pngFile:CDel node f1.pngFile:CDel 5.pngFile:CDel node.png File:CDel node.pngFile:CDel 6.pngFile:CDel node f1.pngFile:CDel 5.pngFile:CDel node.png File:CDel node.pngFile:CDel 6.pngFile:CDel node f1.pngFile:CDel 5.pngFile:CDel node f1.png File:CDel node.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node f1.png File:CDel node f1.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node f1.png File:CDel node f1.pngFile:CDel 6.pngFile:CDel node f1.pngFile:CDel 5.pngFile:CDel node f1.png File:CDel node fh.pngFile:CDel 6.pngFile:CDel node fh.pngFile:CDel 5.pngFile:CDel node fh.png File:CDel node.pngFile:CDel 6.pngFile:CDel node fh.pngFile:CDel 5.pngFile:CDel node fh.png File:CDel node fh.pngFile:CDel 6.pngFile:CDel node.pngFile:CDel 5.pngFile:CDel node.png
File:H2chess 256b.png File:Order-6 pentakis pentagonal tiling.png File:Order-6-5 quasiregular rhombic tiling.png File:H2chess 256e.png File:H2 tiling 256-1.png File:Deltoidal pentahexagonal tiling.png File:H2checkers 256.png
V65 V5.12.12 V5.6.5.6 V6.10.10 V56 V4.5.4.6 V4.10.12 V3.3.5.3.6 V3.3.3.5.3.5 V(3.5)5

References

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  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value). (Chapter 19, The Hyperbolic Archimedean Tessellations)
  • Lua error in Module:Citation/CS1/Configuration at line 2172: attempt to index field '?' (a nil value).

See also

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Error creating thumbnail: File missing
Wikimedia Commons has media related to Uniform tiling 4-5-4-6.
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