• Thumbnail for Order-8 square tiling
    In geometry, the order-8 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,8}. This tiling represents a hyperbolic...
    3 KB (247 words) - 18:38, 18 January 2024
  • Thumbnail for Octagonal tiling
    truncated order-8 square tiling, t{4,8}. Like the hexagonal tiling of the Euclidean plane, there are 3 uniform colorings of this hyperbolic tiling. The dual...
    4 KB (392 words) - 05:56, 16 May 2024
  • Thumbnail for Order-5 square tiling
    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...
    2 KB (169 words) - 20:16, 12 December 2023
  • Thumbnail for Order-8 octagonal tiling
    In geometry, the order-8 octagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {8,8} (eight octagons around each vertex)...
    2 KB (224 words) - 21:58, 12 December 2023
  • Thumbnail for Order-6 square tiling
    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...
    5 KB (460 words) - 12:59, 18 January 2024
  • Thumbnail for Order-4 square tiling honeycomb
    runcicantellated order-4 square tiling honeycomb is equivalent to the runcitruncated order-4 square tiling honeycomb. The omnitruncated order-4 square tiling honeycomb...
    20 KB (845 words) - 16:57, 3 August 2024
  • Thumbnail for Square tiling
    In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}, meaning...
    9 KB (619 words) - 19:23, 23 March 2024
  • Thumbnail for Square tiling honeycomb
    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...
    26 KB (898 words) - 16:48, 3 August 2024
  • Thumbnail for Infinite-order square tiling
    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...
    2 KB (179 words) - 22:07, 12 December 2023
  • Thumbnail for Order-8 hexagonal tiling
    In geometry, the order-8 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,8}. There are four uniform constructions...
    3 KB (236 words) - 21:58, 12 December 2023
  • Thumbnail for Truncated square tiling
    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...
    8 KB (711 words) - 22:07, 12 December 2023
  • Thumbnail for Order-4 octagonal tiling
    In geometry, the order-4 octagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {8,4}. Its checkerboard coloring can be...
    6 KB (395 words) - 21:55, 12 December 2023
  • Thumbnail for Snub square tiling
    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...
    8 KB (595 words) - 21:54, 12 December 2023
  • with infinitely many octahedra existing around each vertex in an order-5 square tiling vertex arrangement. It a part of a sequence of regular polychora...
    11 KB (535 words) - 16:48, 3 August 2024
  • Thumbnail for Order-7 square tiling
    In geometry, the order-7 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {4,7}. This tiling is topologically related...
    2 KB (156 words) - 00:58, 12 August 2023
  • Thumbnail for Truncated infinite-order square tiling
    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...
    5 KB (244 words) - 21:57, 12 December 2023
  • Thumbnail for Truncated order-6 square tiling
    geometry, the truncated order-6 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{4,6}. The dual tiling represents the fundamental...
    4 KB (270 words) - 21:58, 12 December 2023
  • Thumbnail for Truncated order-8 octagonal tiling
    the truncated order-8 octagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{8,8}. This tiling can also be constructed...
    5 KB (249 words) - 21:58, 12 December 2023
  • 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...
    25 KB (1,293 words) - 18:52, 3 August 2024
  • Thumbnail for Snub order-8 triangular tiling
    In geometry, the snub tritetratrigonal tiling or snub order-8 triangular tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbols of...
    2 KB (166 words) - 21:56, 12 December 2023
  • Thumbnail for Hosohedron
    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...
    8 KB (592 words) - 20:45, 25 January 2023
  • Thumbnail for Order-7 triangular tiling
    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 is the...
    4 KB (423 words) - 21:54, 12 December 2023
  • Thumbnail for Dihedron
    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...
    6 KB (627 words) - 20:28, 3 February 2023
  • Thumbnail for Snub order-6 square tiling
    In geometry, the snub order-6 square tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of s{(4,4,3)} or s{4,6}. The symmetry...
    2 KB (176 words) - 21:58, 12 December 2023
  • Thumbnail for Order-6 hexagonal tiling
    geometry, the order-6 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,6} and is self-dual. This tiling represents...
    3 KB (262 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 Tetrakis square tiling
    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...
    11 KB (852 words) - 19:14, 20 October 2021
  • Thumbnail for Truncated order-5 square tiling
    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...
    2 KB (128 words) - 20:11, 12 December 2023
  • Thumbnail for Quarter order-6 square tiling
    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...
    3 KB (152 words) - 19:53, 12 December 2023
  • Thumbnail for Truncated order-7 square tiling
    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...
    2 KB (123 words) - 00:46, 21 January 2024