In geometry, the order-5 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,5}. This tiling is topologically related...

In geometry, the truncated order-5 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{4,5}. John H. Conway, Heidi...

In geometry, the order-6 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,6}. This tiling represents a hyperbolic...

geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane consisting of four squares around every vertex...

of the order-5 hexagonal tiling honeycomb is {6,3,5}. Since that of the hexagonal tiling is {6,3}, this honeycomb has five such hexagonal tilings meeting...

the order-4-5 square honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {4,4,5}. It has five square tiling {4,4}...

runcicantellated order-4 square tiling honeycomb is equivalent to the runcitruncated order-4 square tiling honeycomb. The omnitruncated order-4 square tiling honeycomb...

In geometry, the order-4 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,4}. It can also be called a pentapentagonal...

In geometry, the truncated square tiling is a semiregular tiling by regular polygons of the Euclidean plane with one square and two octagons on each vertex...

In geometry, the infinite-order square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,∞}. All vertices are ideal, located...

In geometry, the order-5 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,5}, constructed from five pentagons...

Squaring the square is the problem of tiling an integral square using only other integral squares. (An integral square is a square whose sides have integer...

In geometry, the snub square tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. Its Schläfli...

form, and its dual, the order-4 octahedral honeycomb, {3,4,4}. The square tiling honeycomb is part of the order-4 square tiling honeycomb family, as it...

order-5 square tiling, by distorting the rhombi into squares. As such, it is topologically a regular polyhedron of index two: Note that the order-5 square...

The ridges of a 2D polygon or 1D tiling are its 0-faces or vertices. The ridges of a 3D polyhedron or plane tiling are its 1-faces or edges. The ridges...

must have at least three sides. When considering polyhedra as a spherical tiling, this restriction may be relaxed, since digons (2-gons) can be represented...

called bihedra, flat polyhedra, or doubly covered polygons. As a spherical tiling, a dihedron can exist as nondegenerate form, with two n-sided faces covering...

Euclidean 3-space) 1 p + 1 q = 1 2 : Euclidean plane tiling 1 p + 1 q < 1 2 : Hyperbolic plane tiling {\displaystyle {\begin{aligned}&{\frac {1}{p}}+{\frac...

In geometry, the truncated order-7 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{4,7}. John H. Conway, Heidi...

order-5 square tiling, by distorting the rhombi into squares. As such, it is topologically a regular polyhedron of index two: Note that the order-5 square...

hyperbolic truncated order-5 square tiling, t{4,5}, with truncated square and pentagonal faces: It is similar to the Euclidean (order-4) truncated cubic...

regular honeycombs with order-7 triangular tiling cells: {3,7,p}. It isa part of a sequence of regular honeycombs with heptagonal tiling vertex figures: {p...

vertex. Wikimedia Commons has media related to Uniform tiling 5-10-10. Square tiling Uniform tilings in hyperbolic plane List of regular polytopes John H...

honeycombs with order-8 triangular tiling cells: {3,8,p}. It is a part of a sequence of regular honeycombs with octagonal tiling vertex figures: {p,8,3}. It...

In geometry, the tetrapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t1{4,5} or r{4,5}. A half symmetry [1+,4...

of the order-4 hexagonal tiling honeycomb is {6,3,4}. Since that of the hexagonal tiling is {6,3}, this honeycomb has four such hexagonal tilings meeting...

In geometry, the tetrakis square tiling is a tiling of the Euclidean plane. It is a square tiling with each square divided into four isosceles right triangles...

In geometry, the quarter order-6 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of q{4,6}. It is constructed from *3232...

infinite-order square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{4,∞}. In (*∞44) symmetry this tiling has 3 colors...