Английская Википедия:Heptagrammic-order heptagonal tiling
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.
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):
References
- John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, Шаблон:ISBN (Chapter 19, The Hyperbolic Archimedean Tessellations)
- Шаблон:Cite book
External links
Шаблон:Hyperbolic-geometry-stub
- Английская Википедия
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- Heptagonal tilings
- Hyperbolic tilings
- Isogonal tilings
- Isohedral tilings
- Regular tilings
- Heptagrammic-order tilings
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