Heptagrammic-order heptagonal tiling

Heptagrammic-order heptagonal tiling

Poincaré disk model of the hyperbolic plane
TypeHyperbolic regular tiling
Vertex figure77/2
Schläfli symbol{7,7/2}
Wythoff symbol7/2 | 7 2
Coxeter diagram
Symmetry group[7,3], (*732)
DualOrder-7 heptagrammic tiling
PropertiesVertex-transitive, edge-transitive, face-transitive

In geometry, the Heptagrammic-order heptagonal tiling is a regular star-tiling of the hyperbolic plane. It has Schläfli symbol of {7,7/2}. The vertex figure heptagrams are {7/2}, . The heptagonal faces overlap with density 3.

It has the same vertex arrangement as the regular order-7 triangular tiling, {3,7}. The full set of edges coincide with the edges of a heptakis heptagonal tiling.

It is related to a Kepler-Poinsot polyhedron, the great dodecahedron, {5,5/2}, which is polyhedron and a density-3 regular star-tiling on the sphere:

References

See also

Wikimedia Commons has media related to Order-7 heptagrammic tiling.

This article is issued from Wikipedia - version of the 11/3/2014. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.