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

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

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

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...

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

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...

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

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

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...

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...

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

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

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

tiling. Order-7 tetrahedral honeycomb List of regular polytopes List of uniform planar tilings Tilings of regular polygons Triangular tiling Uniform tilings...

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

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...

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...

mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers, the...

The Beauty of Geometry: Twelve Essays. Dover Publications. 1999. ISBN 0-486-40919-8. LCCN 99035678. Uniform tilings in hyperbolic plane List of regular polytopes...

Uniform tiling 4-4-4-7. Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld. Weisstein, Eric...

tilings: Wikimedia Commons has media related to Uniform tiling 6-8-8. Square tiling Tilings of regular polygons List of uniform planar tilings List of...

Uniform tiling 4-10-10. Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld. Weisstein, Eric...

Commons has media related to Uniform tiling 3-4-6-4 (rhombitrihexagonal tiling). Tilings of regular polygons List of uniform tilings Conway, 2008, p288 table...

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

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

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

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...

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

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

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