Truncated tetraheptagonal tiling

Truncated tetraheptagonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic uniform tiling
Vertex configuration4.8.14
Schläfli symboltr{7,4} or t\begin{Bmatrix} 7 \\ 4 \end{Bmatrix}
Wythoff symbol2 7 4 |
Coxeter diagram
Symmetry group[7,4], (*742)
DualOrder-4-7 kisrhombille tiling
PropertiesVertex-transitive

In geometry, the truncated tetraheptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of tr{4,7}.

Images

Poincaré disk projection, centered on 14-gon:

Symmetry

Truncated tetraheptagonal tiling with mirror lines.

The dual to this tiling represents the fundamental domains of [7,4] (*742) symmetry. There are 3 small index subgroups constructed from [7,4] by mirror removal and alternation. In these images fundamental domains are alternately colored black and white, and mirrors exist on the boundaries between colors.

Related polyhedra and tiling

References

See also

Wikimedia Commons has media related to Uniform tiling 4-8-14.

External links

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