• In hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic...
    28 KB (1,566 words) - 17:58, 24 May 2025
  • Thumbnail for Euclidean tilings by convex regular polygons
    6; and 7 such tilings for n = 7. Below is an example of a 3-unifom tiling: There are twenty (20) 2-uniform tilings of the Euclidean plane. (also called...
    32 KB (2,009 words) - 01:08, 16 April 2025
  • In geometry, many uniform tilings on sphere, euclidean plane, and hyperbolic plane can be made by Wythoff construction within a fundamental triangle, (p...
    54 KB (752 words) - 09:48, 30 April 2025
  • Thumbnail for Hyperbolic geometry
    quadrilateral Systolic geometry Uniform tilings in hyperbolic plane δ-hyperbolic space "Curvature of curves on the hyperbolic plane". math stackexchange. Retrieved...
    56 KB (6,970 words) - 13:36, 7 May 2025
  • Thumbnail for List of Euclidean uniform tilings
    convex uniform tilings (regular and semiregular) of the Euclidean plane, and their dual tilings. There are three regular and eight semiregular tilings in the...
    15 KB (953 words) - 18:19, 31 March 2025
  • Thumbnail for Uniform honeycombs in hyperbolic space
    tilings of hyperbolic 3-space. Uniform tilings in hyperbolic plane List of regular polytopes#Tessellations of hyperbolic 3-space Paracompact uniform honeycombs...
    88 KB (1,626 words) - 09:45, 9 January 2025
  • vertex-transitive. Uniform tilings can exist in both the Euclidean plane and hyperbolic plane. Uniform tilings are related to the finite uniform polyhedra; these...
    44 KB (1,971 words) - 00:21, 16 April 2025
  • Euclidean convex uniform tilings; 28 Euclidean nonconvex or apeirogonal uniform tilings; Infinite number of uniform tilings in hyperbolic plane. Any polygons...
    38 KB (1,075 words) - 09:49, 11 January 2025
  • in the linear graph families. Uniform tilings in hyperbolic plane List of regular polytopes#Tessellations of hyperbolic 3-space Uniform honeycombs in...
    257 KB (1,055 words) - 14:44, 13 March 2025
  • Thumbnail for Alternated octagonal tiling
    appear to be smooth hypercycles. Circle Limit III Square tiling Uniform tilings in hyperbolic plane List of regular polytopes John Horton Conway, Heidi Burgiel...
    3 KB (309 words) - 02:15, 29 September 2024
  • Thumbnail for Truncated trioctagonal tiling
    below as spherical tilings. For p > 6, they are tilings of the hyperbolic plane, starting with the truncated triheptagonal tiling. Wikimedia Commons has...
    6 KB (441 words) - 21:58, 12 December 2023
  • Thumbnail for Pentagonal tiling
    angle equal to zero. There are an infinite number of dual uniform tilings in hyperbolic plane with isogonal irregular pentagonal faces. They have face...
    38 KB (2,688 words) - 22:06, 7 May 2025
  • of uniform tilings Uniform tilings in hyperbolic plane Archimedean tiling Square tiling Triangular tiling Hexagonal tiling Truncated square tiling Snub...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • Thumbnail for Order-7 triangular tiling
    In geometry, the order-7 triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,7}. The symmetry group of the tiling...
    4 KB (423 words) - 20:19, 14 March 2025
  • Thumbnail for Infinite-order triangular tiling
    planar tilings Tilings of regular polygons Triangular tiling Uniform tilings in hyperbolic plane John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The...
    3 KB (211 words) - 11:18, 15 March 2025
  • Thumbnail for Heptagonal tiling
    construction there are eight hyperbolic uniform tilings that can be based from the regular heptagonal tiling. Drawing the tiles colored as red on the original...
    4 KB (322 words) - 23:56, 14 June 2025
  • Thumbnail for Tessellation
    media related to Tiling. Tegula (open-source software for exploring two-dimensional tilings of the plane, sphere and hyperbolic plane; includes databases...
    58 KB (6,055 words) - 17:49, 20 May 2025
  • Thumbnail for Tetrapentagonal tiling
    Uniform tiling 4-5-4-5. Binary tiling, an aperiodic tiling of the hyperbolic plane by pentagons Uniform tilings in hyperbolic plane List of regular polytopes...
    2 KB (182 words) - 06:15, 21 September 2024
  • Thumbnail for Truncated order-4 pentagonal tiling
    media related to Uniform tiling 4-10-10. Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld....
    3 KB (176 words) - 21:55, 12 December 2023
  • Thumbnail for Order-4 pentagonal tiling
    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...
    4 KB (331 words) - 21:52, 12 December 2023
  • Thumbnail for List of regular polytopes
    {1}{2}}:{\text{Hyperbolic plane tiling}}\end{aligned}}} By enumerating the permutations, we find five convex forms, four star forms and three plane tilings, all...
    100 KB (5,446 words) - 19:48, 13 June 2025
  • tessellations. Uniform tiling Convex uniform honeycombs List of k-uniform tilings List of Euclidean uniform tilings Uniform tilings in hyperbolic plane...
    15 KB (26 words) - 06:45, 10 January 2025
  • Thumbnail for 3-7 kisrhombille
    heptagonal tiling, the important (2,3,7) triangle group. See also the uniform tilings of the hyperbolic plane with (2,3,7) symmetry. The kisrhombille tilings can...
    5 KB (357 words) - 21:54, 12 December 2023
  • Thumbnail for Order-3 apeirogonal tiling
    In geometry, the order-3 apeirogonal tiling is a regular tiling of the hyperbolic plane. It is represented by the Schläfli symbol {∞,3}, having three...
    8 KB (371 words) - 00:32, 16 April 2025
  • Thumbnail for Wythoff symbol
    be applied to all uniform polyhedra. However, the construction methods do not lead to all uniform tilings in Euclidean or hyperbolic space. The Wythoff...
    12 KB (682 words) - 01:53, 27 February 2025
  • Thumbnail for Cantic order-4 hexagonal tiling
    Uniform tiling 3-8-4-8. Hyperbolic space Square tiling Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling"...
    2 KB (144 words) - 21:57, 12 December 2023
  • Thumbnail for Trihexagonal tiling
    In geometry, the trihexagonal tiling is one of 11 uniform tilings of the Euclidean plane by regular polygons. It consists of equilateral triangles and...
    16 KB (1,625 words) - 23:23, 26 February 2025
  • Thumbnail for Rhombitetrapentagonal tiling
    media related to Uniform tiling 4-4-4-5. Uniform tilings in hyperbolic plane List of regular polytopes Weisstein, Eric W. "Hyperbolic tiling". MathWorld....
    2 KB (142 words) - 18:58, 7 May 2025
  • Thumbnail for Cantic octagonal tiling
    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...
    5 KB (151 words) - 14:58, 5 January 2025
  • Thumbnail for Truncated order-4 apeirogonal tiling
    [∞,∞]. Wikimedia Commons has media related to Uniform tiling 4-i-i. Uniform tilings in hyperbolic plane List of regular polytopes John H. Conway, Heidi...
    7 KB (252 words) - 21:56, 12 December 2023