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...

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

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

tiling. Checkerboard List of regular polytopes List of uniform tilings Square lattice Tilings of regular polygons Tilings and patterns, from list of 107...

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

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

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...

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:...

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...

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...

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

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

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...

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

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...

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

geometry, a convex uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells...

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...

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

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

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...

the number of sides of the polygonal face at each edge radiating from the vertex. Uniform tiling List of uniform tilings Uniform tilings in hyperbolic...

symbol can be applied to all uniform polyhedra. However, the construction methods do not lead to all uniform tilings in Euclidean or hyperbolic space. The...

Order-3 apeirogonal tiling. Tilings of regular polygons List of uniform planar tilings List of regular polytopes Hexagonal tiling honeycomb, similar {6...

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...

Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)...

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

octahedra and order-6 square tilings , while the latter has cuboctahedra and order-6 square tilings . A compact uniform honeycomb is taken by discarding...

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