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From Wikipedia, the free encyclopedia
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}.
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 |
Drawn in chiral pairs:
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}.
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 |
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