• 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
  • 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) - 18:52, 21 November 2024
  • Thumbnail for Truncated infinite-order triangular tiling
    the 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...
    2 KB (170 words) - 21:56, 12 December 2023
  • Thumbnail for Truncated trihexagonal tiling
    The truncated trihexagonal tiling has three related 2-uniform tilings, one being a 2-uniform coloring of the semiregular rhombitrihexagonal tiling. The...
    10 KB (728 words) - 21:54, 12 December 2023
  • Thumbnail for Hexagonal tiling
    is one of three regular tilings of the plane. The other two are the triangular tiling and the square tiling. Hexagonal tiling is the densest way to arrange...
    16 KB (1,286 words) - 16:31, 7 November 2024
  • Thumbnail for Truncated hexagonal tiling
    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) - 20:10, 13 July 2024
  • Thumbnail for Truncated heptagonal tiling
    The tiling has a vertex configuration of 3.14.14. The dual tiling is called an order-7 triakis triangular tiling, seen as an order-7 triangular tiling with...
    2 KB (249 words) - 21:59, 12 December 2023
  • 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 (1,625 words) - 20:35, 27 October 2024
  • Thumbnail for Uniform tilings in hyperbolic plane
    hyperbolic geometry, a uniform hyperbolic tiling (or regular, quasiregular or semiregular hyperbolic tiling) is an edge-to-edge filling of the hyperbolic...
    28 KB (1,586 words) - 09:51, 5 October 2024
  • Thumbnail for Truncated cuboctahedron
    below as spherical tilings. For p < 6, they are tilings of the hyperbolic plane, starting with the truncated triheptagonal tiling. It is first in a series...
    14 KB (977 words) - 06:06, 14 November 2023
  • Thumbnail for Truncated cube
    geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...
    9 KB (738 words) - 04:52, 15 November 2024
  • Thumbnail for Truncated triheptagonal tiling
    coloring of a truncated triheptagonal tiling. (Naming the colors by indices around a vertex: 123.) Each triangle in this dual tiling, order 3-7 kisrhombille...
    3 KB (283 words) - 21:55, 12 December 2023
  • ablation and thus the formation is in a non-equilibrium state. Truncated order-7 triangular tiling Rode, A.V.; Hyde, S.T.; Gamaly, E.G.; Elliman, R.G.; McKenzie...
    11 KB (892 words) - 08:50, 26 May 2024
  • Thumbnail for Hosohedron
    modified in the same manner as the other polyhedra to produce a truncated variation. The truncated n-gonal hosohedron is the n-gonal prism. In the limit, the...
    8 KB (592 words) - 20:45, 25 January 2023
  • Thumbnail for Truncated tetraoctagonal tiling
    In geometry, the truncated tetraoctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one octagon, and one hexakaidecagon...
    8 KB (330 words) - 21:59, 12 December 2023
  • Thumbnail for Truncated tetrahedron
    Truncated triakis tetrahedron Triakis truncated tetrahedron Octahedron – a rectified tetrahedron Truncated Triangular Pyramid Number Kuchel, Philip W. (2012)...
    12 KB (1,218 words) - 02:38, 24 October 2024
  • Thumbnail for Truncated hexaoctagonal tiling
    In geometry, the truncated hexaoctagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one dodecagon, and one hexakaidecagon...
    7 KB (308 words) - 21:58, 12 December 2023
  • Thumbnail for HyperRogue
    arranged as a truncated order-7 triangular tiling by default (with a few exceptions). The player can also choose to play on some other tilings and honeycombs...
    11 KB (1,151 words) - 23:33, 25 October 2024
  • Thumbnail for 3-7 kisrhombille
    has media related to Uniform dual tiling V 4-6-14. In geometry, the 3-7 kisrhombille tiling is a semiregular dual tiling of the hyperbolic plane. It is constructed...
    5 KB (357 words) - 21:54, 12 December 2023
  • Thumbnail for Truncated tetrahexagonal tiling
    In geometry, the truncated tetrahexagonal tiling is a semiregular tiling of the hyperbolic plane. There are one square, one octagon, and one dodecagon...
    9 KB (352 words) - 21:57, 12 December 2023
  • Square tiling Triangular tiling Hexagonal tiling Apeirogon Dihedron Lobachevski plane Hyperbolic tiling Order-7 heptagrammic tiling Heptagrammic-order heptagonal...
    47 KB (3,580 words) - 17:01, 29 June 2024
  • (usually isosceles). All triangular faces can't be equilateral. Truncated tetrahedron: The four faces from the tetrahedron are truncated to become regular hexagons...
    36 KB (3,630 words) - 03:41, 12 November 2024
  • Thumbnail for Snub square tiling
    snub square tiling can be constructed as a snub operation from the square tiling, or as an alternate truncation from the truncated square tiling. An alternate...
    8 KB (595 words) - 21:54, 12 December 2023
  • Thumbnail for Snub trihexagonal tiling
    densest packing from the triangular tiling. This semiregular tiling is a member of a sequence of snubbed polyhedra and tilings with vertex figure (3.3...
    11 KB (814 words) - 22:07, 12 December 2023
  • Thumbnail for Euclidean tilings by convex regular polygons
    vertices with 2 different vertex types, so this tiling would be classed as a ‘3-uniform (2-vertex types)’ tiling. Broken down, 36; 36 (both of different transitivity...
    31 KB (1,998 words) - 17:29, 22 September 2024
  • Thumbnail for Truncated octahedron
    The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...
    19 KB (1,693 words) - 16:13, 12 November 2024
  • Thumbnail for Hyperbolic geometry
    model dubbed the "hyperbolic soccerball" (more precisely, a truncated order-7 triangular tiling). Instructions on how to make a hyperbolic quilt, designed...
    56 KB (6,939 words) - 03:49, 22 November 2024
  • Thumbnail for Cubic honeycomb
    rhombitrihexagonal tiling. A square symmetry projection forms two overlapping truncated square tiling, which combine together as a chamfered square tiling. The vertex...
    66 KB (3,191 words) - 03:59, 10 November 2024
  • uniform tilings Uniform tilings in hyperbolic plane Archimedean tiling Square tiling Triangular tiling Hexagonal tiling Truncated square tiling Snub square...
    30 KB (2,685 words) - 07:39, 28 July 2024