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...

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

plane. Uniform tilings are related to the finite uniform polyhedra; these can be considered uniform tilings of the sphere. Most uniform tilings can be...

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...

Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic plane...

40 potential uniform polyhedra with degenerate vertex figures which have overlapping edges (not counted by Coxeter); The uniform tilings (infinite polyhedra)...

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:...

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

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...

a variety of advanced topics in tiling theory: colored patterns and tilings, polygonal tilings, aperiodic tilings, Wang tiles, and tilings with unusual...

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...

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...

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

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...

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...

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...

calls the vertex-uniform tilings Archimedean in parallel to the Archimedean solids. Their dual tilings are called Laves tilings in honor of crystallographer...

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

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...

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...

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...

rhombicuboctahedra , infinite order-8 triangular tilings , and infinite order-8 square tilings . The order-8 square tilings already intersect the sphere at infinity...

Honeycombs (geometry). List of uniform tilings Regular honeycombs Infinite skew polyhedron Plesiohedron Grünbaum (1994). "Uniform tilings of 3-space". Geombinatorics...

diagrams, along with fundamental domain diagrams. Tilings of regular polygons List of uniform tilings Percolation threshold Conway, John; Burgiel, Heidi;...

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...

Otherwise, there are eleven total 1-uniform tilings (the regular and semiregular tilings), and twenty 2-uniform tilings (where 20 is the eleventh composite...

definition requires uniform polytopes to be finite, while a more expansive definition allows uniform honeycombs (2-dimensional tilings and higher dimensional...

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...

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...

The regular dodecahedron is a member of a sequence of otherwise non-uniform polyhedra and tilings, composed of pentagons with face configurations (V3...