Snub order-8 triangular tiling

Snub tritetratrigonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration3.3.3.3.3.4
Schläfli symbols{3,8}
s{(4,3,3)}
Wythoff symbol| 4 3 3
Coxeter diagram
Symmetry group[8,3+], (3*4)
[(4,3,3)]+, (433)
DualOrder-4-3-3 snub dual tiling
PropertiesVertex-transitive

In geometry, the snub tritetratrigonal tiling or snub 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

Drawn in chiral pairs:

Symmetry

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

Uniform (4,3,3) tilings
Symmetry: [(4,3,3)], (*433) [(4,3,3)]+, (433)
h{8,3}
t0{(4,3,3)}
{(4,3,3)}		 r{8,3}
t0,1{(4,3,3)}		 h{8,3}
t1{(4,3,3)}
{(3,3,4)}		 h2{8,3}
t1,2{(4,3,3)}		 {3,8}
t2{(4,3,3)}
{(3,4,3)}		 h2{8,3}
t0,2{(4,3,3)}		 t{3,8}
t0,1,2{(4,3,3)}
t{(4,3,3)}		 s{3,8}
 
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

References

See also

Wikimedia Commons has media related to Uniform tiling 3-3-3-3-3-4.

External links

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