convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings. There are three regular and eight semiregular tilings in...

Euclidean plane tilings by convex regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler...

polyhedra) 11 Euclidean convex uniform tilings; 28 Euclidean nonconvex or apeirogonal uniform tilings; Infinite number of uniform tilings in hyperbolic...

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...

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...

(See comparative overlay of this tiling and its dual) Tilings and patterns Grünbaum, Branko; Shephard, G. C. (1987). Tilings and Patterns. New York: W...

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...

the Euclidean plane and hyperbolic plane. Uniform tilings are related to the finite uniform polyhedra; these can be considered uniform tilings of the...

n}, dihedra, {n,2}, and Euclidean tilings. These improper regular tilings are constructionally related to prismatic uniform honeycombs by truncation...

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...

tiling). List of uniform planar tilings Snub (geometry) Snub square prismatic honeycomb Tilings of regular polygons Elongated triangular tiling Order in...

tilings. The simplest set of hyperbolic tilings are regular tilings {p,q}, which exist in a matrix with the regular polyhedra and Euclidean tilings....

media related to Order-4 apeirogonal tiling. Tilings of regular polygons List of uniform planar tilings List of regular polytopes John H. Conway, Heidi...

(Euclidean) space. Another interesting family is the Hill tetrahedra and their generalizations, which can also tile the space. A 3-dimensional uniform...

is a list of tessellations. Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic...

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...

commutator subgroup of [∞,∞]. Wikimedia Commons has media related to Uniform tiling 4-i-i. Uniform tilings in hyperbolic plane List of regular polytopes...

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...

In geometry, the truncated trihexagonal tiling is one of eight semiregular tilings of the Euclidean plane. There are one square, one hexagon, and one...

tilings with vertex figure (4n). This hyperbolic tiling is related to a semiregular infinite skew polyhedron with the same vertex figure in Euclidean...

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...

In geometry, many uniform tilings on sphere, euclidean plane, and hyperbolic plane can be made by Wythoff construction within a fundamental triangle, (p...

geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons. It consists of equilateral triangles and regular...

4-16-16. Square tiling Tilings of regular polygons List of uniform planar tilings List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld...

4-12-12. Square tiling Tilings of regular polygons List of uniform planar tilings List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld...

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...

by their densities. The analogous cases of Euclidean tilings are also listed, and those of hyperbolic tilings briefly and incompletely discussed. There...

Uniform tiling 4-14-14. Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld. Weisstein, Eric...

related to Uniform tiling 3-12-12 (truncated hexagonal tiling). Tilings of regular polygons List of uniform tilings Chavey, D. (1989). "Tilings by Regular...

to Uniform tiling 4-8-14. Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld. Weisstein, Eric...