Английская Википедия:Heptagrammic-order heptagonal tiling

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Шаблон:Uniform hyperbolic tiles db 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}, Файл:Obtuse heptagram.svg. The heptagonal faces overlap with density 3.

Related tilings

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.

Файл:Order-7 triangular tiling.svgФайл:Heptakis heptagonal tiling.svg

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 (resembling a regular icosahedron in this state, similarly to this tessellation resembling the order-7 triangular tiling):

Файл:Great dodecahedron tiling.svg

References

External links

Шаблон:Tessellation


Шаблон:Hyperbolic-geometry-stub