• 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) - 20:19, 14 March 2025
  • order-8 triangular tiling {3,8} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings...
    25 KB (1,293 words) - 21:29, 20 August 2024
  • Thumbnail for Order-8 triangular tiling
    In geometry, the order-8 triangular tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {3,8}, having eight regular...
    7 KB (359 words) - 11:17, 15 March 2025
  • Thumbnail for Truncated order-8 triangular tiling
    In geometry, the truncated order-8 triangular tiling is a semiregular tiling of the hyperbolic plane. There are two hexagons and one octagon on each vertex...
    3 KB (245 words) - 21:59, 12 December 2023
  • Thumbnail for Triangular tiling
    geometry, the triangular tiling or triangular tessellation is one of the three regular tilings of the Euclidean plane, and is the only such tiling where the...
    10 KB (858 words) - 14:08, 25 November 2024
  • Thumbnail for Triangular tiling honeycomb
    trihexagonal tiling and hexagonal tiling cells, with a triangular prism vertex figure. A lower symmetry of this honeycomb can be constructed as a cantic order-6...
    18 KB (701 words) - 02:03, 10 January 2025
  • 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 Elongated triangular tiling
    In geometry, the elongated triangular tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex...
    10 KB (700 words) - 21:55, 12 December 2023
  • Thumbnail for Infinite-order triangular tiling
    In geometry, the infinite-order triangular tiling is a regular tiling of the hyperbolic plane with a Schläfli symbol of {3,∞}. All vertices are ideal...
    3 KB (211 words) - 11:18, 15 March 2025
  • Thumbnail for Truncated order-7 triangular tiling
    In geometry, the order-7 truncated triangular tiling, sometimes called the hyperbolic soccerball, is a semiregular tiling of the hyperbolic plane. There...
    4 KB (323 words) - 09:50, 5 October 2024
  • infinitely many tetrahedra existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second construction as a uniform...
    9 KB (452 words) - 16:55, 16 June 2025
  • 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) - 11:47, 11 July 2025
  • Thumbnail for Truncated infinite-order triangular tiling
    truncated infinite-order triangular tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of t{3,∞}. The dual of this tiling represents the...
    2 KB (170 words) - 21:56, 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...
    5 KB (403 words) - 04:52, 11 July 2025
  • Thumbnail for Square tiling honeycomb
    a triangular pyramid vertex figure. It is the same as the cantitruncated order-4 square tiling honeycomb, tr{4,4,4}, . The bitruncated square tiling honeycomb...
    26 KB (898 words) - 02:07, 22 July 2025
  • ideal boundary) with seven heptagonal tilings existing around each edge and with an order-7 triangular tiling vertex figure. It a part of a sequence...
    7 KB (409 words) - 16:02, 14 December 2024
  • Thumbnail for Order-3-7 hexagonal honeycomb
    the ideal boundary) with seven hexagonal tilings existing around each edge and with an order-7 triangular tiling vertex figure. It a part of a sequence...
    8 KB (419 words) - 04:04, 28 September 2024
  • Thumbnail for Order-6 hexagonal tiling honeycomb
    vertex figures: The rectified order-6 hexagonal tiling honeycomb, t1{6,3,6}, has triangular tiling and trihexagonal tiling facets, with a hexagonal prism...
    24 KB (961 words) - 09:02, 4 September 2024
  • Thumbnail for Hexagonal tiling honeycomb
    the hexagonal tiling honeycomb is {6,3,3}. Since that of the hexagonal tiling is {6,3}, this honeycomb has three such hexagonal tilings meeting at each...
    21 KB (843 words) - 11:41, 11 July 2025
  • Thumbnail for Truncated hexagonal tiling
    are 8 forms, 7 which are topologically distinct. (The truncated triangular tiling is topologically identical to the hexagonal tiling.) This tiling is topologically...
    9 KB (745 words) - 19:46, 6 March 2025
  • 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...
    25 KB (1,299 words) - 21:29, 20 August 2024
  • the order-6-4 triangular honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,6,4}. It has four triangular tiling {3...
    10 KB (536 words) - 23:23, 15 January 2025
  • 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) - 16:20, 12 July 2025
  • infinitely many dodecahedra existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second construction as a uniform...
    9 KB (431 words) - 16:48, 3 August 2024
  • Thumbnail for Rhombitrioctagonal tiling
    3}, as well as an expanded octagonal tiling or expanded order-8 triangular tiling. This tiling has [8,3], (*832) symmetry. There is only one uniform coloring...
    3 KB (339 words) - 21:59, 12 December 2023
  • Infinite-order triangular tiling {3,∞} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many triangular tilings...
    31 KB (1,578 words) - 16:48, 3 August 2024
  • Thumbnail for Heptagonal tiling
    automorphism group of order 168), and the induced tiling has 24 heptagons, meeting at 56 vertices. The dual order-7 triangular tiling has the same symmetry...
    4 KB (322 words) - 23:56, 14 June 2025
  • Thumbnail for Hexagonal tiling
    one of three regular tilings of the plane. The other two are the triangular tiling and the square tiling. The hexagonal tiling has a structure consisting...
    20 KB (1,603 words) - 12:46, 27 July 2025
  • 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 (629 words) - 15:57, 27 June 2025
  • Thumbnail for Trihexagonal tiling
    trihexagonal tiling can be geometrically distorted into topologically equivalent tilings of lower symmetry. In these variants of the tiling, the edges do...
    16 KB (1,621 words) - 13:20, 1 August 2025