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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Euclidean plane tilings by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler...
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polyhedra) 11 Euclidean convex uniform tilings; 28 Euclidean nonconvex or apeirogonal uniform tilings; Infinite number of uniform tilings in hyperbolic...
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square tiling, t{4,8}. Like the hexagonal tiling of the Euclidean plane, there are 3 uniform colorings of this hyperbolic tiling. The dual tiling V8.8.8...
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regular tilings, and 8 semiregular tilings. A 1-uniform tiling can be defined by its vertex configuration. Higher k-uniform tilings are listed by their...
72 KB (1,365 words) - 18:44, 24 May 2025
(See comparative overlay of this tiling and its dual) Tilings and patterns Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. New York: W...
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the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where the constituent...
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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) - 00:21, 16 April 2025
n}, dihedra, {n,2}, and Euclidean tilings. These improper regular tilings are constructionally related to prismatic uniform honeycombs by truncation...
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Tessellation (redirect from Euclidean tiling)
non-edge-to-edge tilings of the Euclidean plane are possible, including the family of Pythagorean tilings, tessellations that use two (parameterised) sizes of square...
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tiling). List of uniform planar tilings Snub (geometry) Snub square prismatic honeycomb Tilings of regular polygons Elongated triangular tiling Order in...
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tilings. The simplest set of hyperbolic tilings are regular tilings {p,q}, which exist in a matrix with the regular polyhedra and Euclidean tilings....
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media related to Order-4 apeirogonal tiling. Tilings of regular polygons List of uniform planar tilings List of regular polytopes John H. Conway, Heidi...
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Honeycomb (geometry) (redirect from Three-dimensional Euclidean tesselation)
(Euclidean) space. Another interesting family is the Hill tetrahedra and their generalizations, which can also tile the space. A 3-dimensional uniform...
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is a list of tessellations. Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic...
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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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commutator subgroup of [∞,∞]. Wikimedia Commons has media related to Uniform tiling 4-i-i. Uniform tilings in hyperbolic plane List of regular polytopes...
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to Uniform tiling 4-4-4-6. Square tiling Tilings of regular polygons List of uniform planar tilings List of regular polytopes John H. Conway, Heidi Burgiel...
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In geometry, the truncated trihexagonal tiling is one of eight semiregular tilings of the Euclidean plane. There are one square, one hexagon, and one...
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tilings with vertex figure (4n). This hyperbolic tiling is related to a semiregular infinite skew polyhedron with the same vertex figure in Euclidean...
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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...
20 KB (1,603 words) - 15:43, 18 July 2025
In geometry, many uniform tilings on sphere, euclidean plane, and hyperbolic plane can be made by Wythoff construction within a fundamental triangle, (p...
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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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4-16-16. Square tiling Tilings of regular polygons List of uniform planar tilings List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld...
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4-12-12. Square tiling Tilings of regular polygons List of uniform planar tilings List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld...
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octagonal tiling, h2{8,3}. Wikimedia Commons has media related to Uniform tiling 3-6-4-6. Square tiling Uniform tilings in hyperbolic plane List of regular...
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by their densities. The analogous cases of Euclidean tilings are also listed, and those of hyperbolic tilings briefly and incompletely discussed. There...
97 KB (2,780 words) - 11:48, 11 July 2025
Uniform tiling 4-14-14. Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld. Weisstein, Eric...
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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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to Uniform tiling 4-8-14. Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld. Weisstein, Eric...
3 KB (179 words) - 05:10, 18 February 2024