In geometry, many uniform tilings on sphere, euclidean plane, and hyperbolic plane can be made by Wythoff construction within a fundamental triangle, (p...
54 KB (752 words) - 04:04, 4 September 2024
are two regular tilings, represented by Schläfli symbol {p,q} and {q,p}. There are an infinite number of uniform tilings based on the Schwarz triangles...
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List of uniform tilings Uniform tilings in hyperbolic plane List of uniform polyhedra List of uniform polyhedra by Schwarz triangle Lists of uniform tilings...
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of hyperbolic tilings whose faces or vertex figures are star polygons: {m/2, m} and their duals {m, m/2} with m = 7, 9, 11, .... The {m/2, m} tilings...
98 KB (5,291 words) - 09:50, 1 September 2024
the Euclidean plane and hyperbolic plane. Uniform tilings are related to the finite uniform polyhedra; these can be considered uniform tilings of the...
44 KB (1,971 words) - 03:57, 4 September 2024
List of uniform tilings Uniform tilings in hyperbolic plane Archimedean tiling Square tiling Triangular tiling Hexagonal tiling Truncated square tiling Snub...
47 KB (3,580 words) - 17:01, 29 June 2024
triangle List of Johnson solids List of Wenninger polyhedron models Polyhedron model Uniform tiling Uniform tilings in hyperbolic plane Pseudo-uniform polyhedron...
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geometry Lie sphere geometry Non-Euclidean geometry Noncommutative algebraic geometry Noncommutative geometry Ordered geometry Parabolic geometry Plane geometry...
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Coxeter–Dynkin diagram (redirect from Hyperbolic reflection group)
half symmetry version. In the hyperbolic plane [7,3], family produces a parallel set of uniform tilings, and their dual tilings. There is only 1 alternation...
57 KB (3,213 words) - 19:15, 9 August 2024
120-cell (redirect from Compound of 120-cell and 600-cell)
4-space, and the hexagonal tiling honeycomb {6,3,3} of hyperbolic space. All of these have a tetrahedral vertex figure {3,3}: The 120-cell is a part of a sequence...
129 KB (14,415 words) - 23:53, 3 September 2024