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Contents

   



(Top)
 


1 Images  





2 Symmetry  





3 Related polyhedra and tiling  





4 References  





5 See also  





6 External links  














Snub order-8 triangular tiling







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From Wikipedia, the free encyclopedia
 


Snub order-8 triangular tiling
Snub order-8 triangular tiling
Poincaré disk model of the hyperbolic plane
Type Hyperbolic uniform tiling
Vertex configuration 3.3.3.3.3.4
Schläfli symbol s{3,8}
s(4,3,3)
Wythoff symbol | 4 3 3
Coxeter diagram
Symmetry group [8,3+], (3*4)
[(4,3,3)]+, (433)
Dual Order-4-3-3 snub dual tiling
Properties Vertex-transitive

Ingeometry, the snub tritetratrigonal tilingorsnub order-8 triangular tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of s{(3,4,3)} and s{3,8}.

Images[edit]

Drawn in chiral pairs:

Symmetry[edit]

The alternated construction from the truncated order-8 triangular tiling has 2 colors of triangles and achiral symmetry. It has Schläfli symbol of s{3,8}.

Related polyhedra and tiling[edit]

Uniform (4,3,3) tilings
  • t
  • e
  • Symmetry: [(4,3,3)], (*433) [(4,3,3)]+, (433)
    h{8,3}
    t0(4,3,3)
    r{3,8}1/2
    t0,1(4,3,3)
    h{8,3}
    t1(4,3,3)
    h2{8,3}
    t1,2(4,3,3)
    {3,8}1/2
    t2(4,3,3)
    h2{8,3}
    t0,2(4,3,3)
    t{3,8}1/2
    t0,1,2(4,3,3)
    s{3,8}1/2
    s(4,3,3)
    Uniform duals
    V(3.4)3 V3.8.3.8 V(3.4)3 V3.6.4.6 V(3.3)4 V3.6.4.6 V6.6.8 V3.3.3.3.3.4
    Uniform octagonal/triangular tilings
  • t
  • e
  • Symmetry: [8,3], (*832) [8,3]+
    (832)
    [1+,8,3]
    (*443)
    [8,3+]
    (3*4)
    {8,3} t{8,3} r{8,3} t{3,8} {3,8} rr{8,3}
    s2{3,8}
    tr{8,3} sr{8,3} h{8,3} h2{8,3} s{3,8}




    or

    or





    Uniform duals
    V83 V3.16.16 V3.8.3.8 V6.6.8 V38 V3.4.8.4 V4.6.16 V34.8 V(3.4)3 V8.6.6 V35.4

    References[edit]

    See also[edit]

    External links[edit]


    Retrieved from "https://en.wikipedia.org/w/index.php?title=Snub_order-8_triangular_tiling&oldid=1189601815"

    Categories: 
    Hyperbolic tilings
    Isogonal tilings
    Order-8 tilings
    Snub tilings
    Triangular tilings
    Uniform tilings
    Hidden category: 
    Commons category link is on Wikidata
     



    This page was last edited on 12 December 2023, at 21:56 (UTC).

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