• 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 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 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 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-6 hexagonal tiling
    cantic order-6 square tiling, h2{4,6} By *663 symmetry, this tiling can be constructed as an omnitruncation, t{(6,6,3)}: The dual to this tiling represent...
    4 KB (211 words) - 21:56, 12 December 2023
  • 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 Order-6 octagonal tiling
    In geometry, the order-6 octagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {8,6}. This tiling represents a hyperbolic...
    4 KB (259 words) - 21:57, 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-6 pentagonal tiling
    geometry, the order-6 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {5,6}. This regular tiling can also be constructed...
    3 KB (207 words) - 21:57, 12 December 2023
  • 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) - 00:08, 28 January 2024
  • the ideal boundary) with infinitely many square tiling existing around each vertex in an order-5 square tiling vertex arrangement. It a part of a sequence...
    8 KB (431 words) - 00:14, 28 January 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) - 18:15, 28 January 2024
  • 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 Order-4 hexagonal tiling
    In geometry, the order-4 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,4}. This tiling represents a hyperbolic...
    6 KB (389 words) - 21:52, 12 December 2023
  • Thumbnail for Order-6 hexagonal tiling honeycomb
    hexagonal tiling honeycomb is {6,3,6}. Since that of the hexagonal tiling of the plane is {6,3}, this honeycomb has six such hexagonal tilings meeting at...
    24 KB (961 words) - 20:34, 14 July 2020
  • 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
  • Thumbnail for Truncated order-6 pentagonal tiling
    truncated order-6 pentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t1,2{6,5}. The dual of this tiling represents...
    3 KB (171 words) - 20:12, 12 December 2023
  • beyond the ideal boundary) with four order-6 square tilings existing around each edge and with an order-4 hexagonal tiling vertex figure. It a part of a sequence...
    9 KB (478 words) - 08:13, 10 March 2024
  • Thumbnail for Squaring the square
    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...
    14 KB (1,658 words) - 07:24, 30 May 2024
  • 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
  • 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 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 Rhombitetrahexagonal tiling
    tiling, r{6,4}, as well as an expanded order-4 hexagonal tiling or expanded order-6 square tiling. There are two uniform constructions of this tiling...
    5 KB (343 words) - 21:57, 12 December 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 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-4 hexagonal tiling honeycomb
    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...
    27 KB (976 words) - 14:59, 15 January 2024
  • 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 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
  • hexagonal tiling whose vertices lie on a 2-hypercycle, each of which has a limiting circle on the ideal sphere. The Schläfli symbol of the order-6-3 square honeycomb...
    9 KB (546 words) - 00:14, 28 January 2024
  • with infinitely many octahedra existing around each vertex in an order-6 square tiling vertex arrangement. It has a second construction as a uniform honeycomb...
    11 KB (535 words) - 00:14, 28 January 2024