tiling include 3 regular tilings, and 8 semiregular tilings. A 1-uniform tiling can be defined by its vertex configuration. Higher k-uniform tilings are...
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convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings. There are three regular and eight semiregular tilings in...
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plane. Uniform tilings are related to the finite uniform polyhedra; these can be considered uniform tilings of the sphere. Most uniform tilings can be...
44 KB (1,971 words) - 23:26, 3 May 2024
many ways of generating new k-uniform tilings from old k-uniform tilings. For example, notice that the 2-uniform [3.12.12; 3.4.3.12] tiling has a square...
31 KB (1,987 words) - 16:50, 8 March 2024
Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic plane...
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40 potential uniform polyhedra with degenerate vertex figures which have overlapping edges (not counted by Coxeter); The uniform tilings (infinite polyhedra)...
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polygons Tilings and patterns, from list of 107 isohedral tilings, pp. 473–481 Tilings and patterns, uniform tilings that are not edge-to-edge Order in Space:...
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Commons has media related to Uniform tiling 3-3-3-3-6 (snub trihexagonal tiling). Tilings of regular polygons List of uniform tilings Order in Space: A design...
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geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons. It consists of equilateral triangles and regular...
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MathWorld. Uniform Tessellations on the Euclid plane Tessellations of the Plane David Bailey's World of Tessellations k-uniform tilings n-uniform tilings v t...
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Isogonal figure (redirect from Vertex-uniform)
G. C. (1987). Tilings and Patterns. W. H. Freeman and Company. ISBN 0-7167-1193-1. (p. 33 k-isogonal tiling, p. 65 k-uniform tilings) Weisstein, Eric...
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a variety of advanced topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual...
21 KB (1,465 words) - 09:19, 30 April 2024
related to Uniform tiling 3-12-12 (truncated hexagonal tiling). Tilings of regular polygons List of uniform tilings Chavey, D. (1989). "Tilings by Regular...
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7 (redirect from Symbolism of the number 7)
7-uniform Krotenheerdt tilings, with no other such k-uniform tilings for k > 7, and it is also the only k for which the count of Krotenheerdt tilings agrees...
51 KB (5,417 words) - 12:18, 10 June 2024
many k-uniform tilings. The snub square tiling is third in a series of snub polyhedra and tilings with vertex figure 3.3.4.3.n. The snub square tiling is...
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dihedra, {n,2}, and Euclidean tilings. These improper regular tilings are constructionally related to prismatic uniform honeycombs by truncation operations...
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uniform dual tilings is the same as the uniform tilings. Because the uniform tilings are isogonal, the duals are isohedral. The k-uniform tilings with valence-5...
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3 regular and 8 semiregular tilings in the plane. There are two distinct uniform colorings of a truncated square tiling. (Naming the colors by indices...
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definition requires uniform polytopes to be finite, while a more expansive definition allows uniform honeycombs (2-dimensional tilings and higher dimensional...
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Planigon (category Euclidean tilings)
calls the vertex-uniform tilings Archimedean in parallel to the Archimedean solids. Their dual tilings are called Laves tilings in honor of crystallographer...
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Cube (redirect from Order-3 square tiling)
related to a series of spherical polyhedral and tilings with order-3 vertex figures. The cuboctahedron is one of a family of uniform polyhedra related to...
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Honeycomb (geometry) (redirect from Tessellation of space)
Honeycombs (geometry). List of uniform tilings Regular honeycombs Infinite skew polyhedron Plesiohedron Grünbaum (1994). "Uniform tilings of 3-space". Geombinatorics...
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rhombicuboctahedra , infinite order-8 triangular tilings , and infinite order-8 square tilings . The order-8 square tilings already intersect the sphere at infinity...
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diagrams, along with fundamental domain diagrams. Tilings of regular polygons List of uniform tilings Percolation threshold Conway, John; Burgiel, Heidi;...
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2-uniform tilings of which there are 20. Some of the demiregular ones are actually 3-uniform tilings. Grünbaum and Shephard enumerated the full list of...
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11 (number) (section List of basic calculations)
which are dual to the 11 Laves tilings. 22 edge-to-edge uniform tilings with convex and star polygons, and 33 uniform tilings with zizgzag apeirogons that...
28 KB (3,239 words) - 04:54, 19 May 2024
Otherwise, there are eleven total 1-uniform tilings (the regular and semiregular tilings), and twenty 2-uniform tilings (where 20 is the eleventh composite...
11 KB (1,578 words) - 00:21, 21 April 2024
Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)...
33 KB (2,200 words) - 06:44, 30 December 2023
edge-to-edge 2-uniform tilings by convex regular polygons, which are uniform tessellations of the plane containing 2 orbits of vertices. 20 is the number of parallelogram...
15 KB (1,721 words) - 03:31, 14 June 2024
the [6,3], family produces a parallel set of 7 uniform tilings of the Euclidean plane, and their dual tilings. There are again 3 alternations and some...
57 KB (3,210 words) - 13:57, 6 June 2024