Rhombitetraheptagonal tiling

Rhombitetraheptagonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration4.4.7.4
Schläfli symbolrr{7,4}
Wythoff symbol4 | 7 2
Coxeter diagram
Symmetry group[7,4], (*742)
DualDeltoidal tetraheptagonal tiling
PropertiesVertex-transitive

In geometry, the rhombitetraheptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of rr{4,7}. It can be seen as constructed as a rectified tetraheptagonal tiling, r{7,4}, as well as an expanded order-4 heptagonal tiling or expanded order-7 square tiling.

Dual tiling

The dual is called the deltoidal tetraheptagonal tiling with face configuration V.4.4.4.7.

Related polyhedra and tiling

Uniform heptagonal/square tilings
Symmetry: [7,4], (*742) [7,4]+, (742) [7+,4], (7*2) [7,4,1+], (*772)
{7,4} t{7,4} r{7,4} 2t{7,4}=t{4,7} 2r{7,4}={4,7} rr{7,4} tr{7,4} sr{7,4} s{7,4} h{4,7}
Uniform duals
V74 V4.14.14 V4.7.4.7 V7.8.8 V47 V4.4.7.4 V4.8.14 V3.3.4.3.7 V3.3.7.3.7 V77

References

See also

Wikimedia Commons has media related to Uniform tiling 4-4-4-7.

External links

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