Snub triapeirotrigonal tiling

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Snub triapeirotrigonal tiling
Snub triapeirotrigonal tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 3.3.3.3.3.∞
Schläfli symbol s{3,∞}
s(∞,3,3)
Wythoff symbol | ∞ 3 3
Coxeter diagram File:CDel 3.pngFile:CDel infin.pngFile:CDel node.png
File:CDel labelinfin.pngFile:CDel branch hh.pngFile:CDel split2.png
Symmetry group [(∞,3,3)]+, (∞33)
Dual Order-i-3-3_t0 dual tiling
Properties Vertex-transitive Chiral

In geometry, the snub triapeirotrigonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of s{3,∞}.

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Paracompact hyperbolic uniform tilings in [(∞,3,3)] family
Symmetry: [(∞,3,3)], (*∞33) [(∞,3,3)]+, (∞33)
File:CDel labelinfin.pngFile:CDel branch 01rd.pngFile:CDel split2.pngFile:CDel node.png File:CDel labelinfin.pngFile:CDel branch 11.pngFile:CDel split2.pngFile:CDel node.png File:CDel labelinfin.pngFile:CDel branch 10ru.pngFile:CDel split2.pngFile:CDel node.png File:CDel labelinfin.pngFile:CDel branch 10ru.pngFile:CDel split2.pngFile:CDel node 1.png File:CDel labelinfin.pngFile:CDel branch.pngFile:CDel split2.pngFile:CDel node 1.png File:CDel labelinfin.pngFile:CDel branch 01rd.pngFile:CDel split2.pngFile:CDel node 1.png File:CDel labelinfin.pngFile:CDel branch 11.pngFile:CDel split2.pngFile:CDel node 1.png File:CDel labelinfin.pngFile:CDel branch hh.pngFile:CDel split2.png
File:CDel node h1.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png File:CDel node h0.pngFile:CDel infin.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node.png File:CDel node h1.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png File:CDel node h1.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.png File:CDel node h0.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.png File:CDel node h1.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node 1.png File:CDel node h0.pngFile:CDel infin.pngFile:CDel node 1.pngFile:CDel 3.pngFile:CDel node 1.png File:CDel node h0.pngFile:CDel infin.pngFile:CDel 3.png
File:H2 tiling 33i-1.png File:H2 tiling 33i-3.png File:H2 tiling 33i-2.png File:H2 tiling 33i-6.png File:H2 tiling 33i-4.png File:H2 tiling 33i-5.png File:H2 tiling 33i-7.png Error creating thumbnail:
(∞,∞,3) t0,1(∞,3,3) t1(∞,3,3) t1,2(∞,3,3) t2(∞,3,3) t0,2(∞,3,3) t0,1,2(∞,3,3) s(∞,3,3)
Dual tilings
File:CDel 3.pngFile:CDel node f1.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 3.png File:CDel 3.pngFile:CDel node f1.pngFile:CDel infin.pngFile:CDel node f1.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 3.png File:CDel 3.pngFile:CDel node.pngFile:CDel infin.pngFile:CDel node f1.pngFile:CDel 3.pngFile:CDel node.pngFile:CDel 3.png File:CDel 3.pngFile:CDel node.pngFile:CDel infin.pngFile:CDel node f1.pngFile:CDel 3.pngFile:CDel node f1.pngFile:CDel 3.png File:CDel 3.pngFile:CDel node.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node f1.pngFile:CDel 3.png File:CDel 3.pngFile:CDel node f1.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node f1.pngFile:CDel 3.png File:CDel 3.pngFile:CDel node f1.pngFile:CDel infin.pngFile:CDel node f1.pngFile:CDel 3.pngFile:CDel node f1.pngFile:CDel 3.png File:CDel 3.pngFile:CDel node fh.pngFile:CDel infin.pngFile:CDel node fh.pngFile:CDel 3.pngFile:CDel node fh.pngFile:CDel 3.png
File:CDel node fh.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png File:CDel node h0.pngFile:CDel infin.pngFile:CDel node f1.pngFile:CDel 3.pngFile:CDel node.png File:CDel node fh.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node.png File:CDel node fh.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node f1.png File:CDel node h0.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node f1.png File:CDel node fh.pngFile:CDel infin.pngFile:CDel node.pngFile:CDel 3.pngFile:CDel node f1.png File:CDel node h0.pngFile:CDel infin.pngFile:CDel node f1.pngFile:CDel 3.pngFile:CDel node f1.png File:CDel node h0.pngFile:CDel infin.pngFile:CDel node fh.pngFile:CDel 3.pngFile:CDel node fh.png
File:Ord3infin qreg rhombic til.png File:H2checkers 33i.png
V(3.∞)3 V3.∞.3.∞ V(3.∞)3 V3.6.∞.6 V(3.3) V3.6.∞.6 V6.6.∞ V3.3.3.3.3.∞

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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