• geometry of hyperbolic 3-space, the order-7-3 triangular honeycomb (or 3,7,3 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli symbol...
    25 KB (1,299 words) - 00:14, 28 January 2024
  • hyperbolic 3-space, the order-infinite-3 triangular honeycomb (or 3,∞,3 honeycomb) is a regular space-filling tessellation (or honeycomb) with Schläfli...
    31 KB (1,578 words) - 00:14, 28 January 2024
  • hyperbolic honeycombs with order-7 triangular tiling vertex figures, {p,3,7}. It is a part of a sequence of hyperbolic honeycombs, {3,p,7}. In the geometry...
    9 KB (452 words) - 00:14, 28 January 2024
  • an order-7 triangular tiling vertex figure. It a part of a sequence of regular polychora and honeycombs {p,3,p}: In the geometry of hyperbolic 3-space...
    8 KB (409 words) - 00:08, 28 January 2024
  • Thumbnail for Order-3-7 hexagonal honeycomb
    geometry of hyperbolic 3-space, the order-3-7 hexagonal honeycomb or (6,3,7 honeycomb) a regular space-filling tessellation (or honeycomb) with Schläfli symbol...
    8 KB (419 words) - 14:45, 16 January 2024
  • Thumbnail for Order-7 triangular tiling
    forms. Wikimedia Commons has media related to Order-7 triangular tiling. Order-7 tetrahedral honeycomb List of regular polytopes List of uniform planar...
    4 KB (423 words) - 21:54, 12 December 2023
  • the order-3-6 heptagonal honeycomb is {7,3,6}, with six heptagonal tilings meeting at each edge. The vertex figure of this honeycomb is an triangular tiling...
    8 KB (457 words) - 00:08, 28 January 2024
  • hyperbolic honeycombs with order-7 triangular tiling vertex figures, {p,3,7}. In the geometry of hyperbolic 3-space, the order-8 cubic honeycomb a regular...
    9 KB (419 words) - 00:14, 28 January 2024
  • the geometry of hyperbolic 3-space, the order-7 dodecahedral honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol {5...
    9 KB (431 words) - 01:49, 4 June 2024
  • Thumbnail for Tetrahedral-octahedral honeycomb
    tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is composed...
    33 KB (2,200 words) - 06:44, 30 December 2023
  • Thumbnail for Hosohedron
    C_{nv}} , [ n ] {\displaystyle [n]} , ( ∗ n n ) {\displaystyle (*nn)} , order 2 n {\displaystyle 2n} . The reflection domains can be shown by alternately...
    8 KB (592 words) - 20:45, 25 January 2023
  • the order-6 triangular hosohedral honeycomb a regular space-filling tessellation (or honeycomb) with Schläfli symbol {2,3,6}. It has 6 triangular hosohedra...
    2 KB (140 words) - 14:47, 4 November 2023
  • Thumbnail for Triangular prism
    alternated cubic honeycomb, gyrated triangular prismatic honeycomb, snub square prismatic honeycomb, triangular prismatic honeycomb, triangular-hexagonal prismatic...
    18 KB (1,515 words) - 10:24, 3 May 2024
  • 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) - 21:55, 12 December 2023
  • Thumbnail for Cubic honeycomb
    The cubic honeycomb or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells...
    66 KB (3,191 words) - 14:11, 7 October 2023
  • Thumbnail for Hexagonal tiling
    two are the triangular tiling and the square tiling. Hexagonal tiling is the densest way to arrange circles in two dimensions. The honeycomb conjecture...
    16 KB (1,286 words) - 23:15, 8 March 2024
  • Thumbnail for 24-cell
    in a single 24-cell or its honeycomb. The 24-cell is the fourth in the sequence of 6 convex regular 4-polytopes (in order of size and complexity). It...
    237 KB (31,111 words) - 17:51, 18 June 2024
  • Thumbnail for 5-cell
    cells, along with the 16-cell {3,3,4} and 600-cell {3,3,5}. The order-6 tetrahedral honeycomb {3,3,6} of hyperbolic space also has tetrahedral cells. It is...
    48 KB (5,298 words) - 18:12, 21 May 2024
  • Thumbnail for 600-cell
    in the honeycomb, fits a triangular bipyramid composed of two tetrahedra. This decomposition of the 600-cell has symmetry [[10,2+,10]], order 400, the...
    217 KB (28,935 words) - 07:10, 16 May 2024
  • triangular hosohedral honeycomb Hexagonal hosohedral honeycomb[citation needed] Order-2 square tiling honeycomb Order-2 triangular tiling honeycomb Order-2...
    47 KB (3,577 words) - 21:10, 27 May 2024
  • Thumbnail for Honeycomb (geometry)
    polyhedra include: The triangular prismatic honeycomb The gyrated triangular prismatic honeycomb The triakis truncated tetrahedral honeycomb. The Voronoi cells...
    14 KB (1,320 words) - 22:07, 17 March 2024
  • Thumbnail for Triangular tiling
    Wikimedia Commons has media related to Order-6 triangular tiling. Triangular tiling honeycomb Simplectic honeycomb Tilings of regular polygons List of uniform...
    10 KB (858 words) - 16:55, 8 March 2024
  • Thumbnail for 16-cell
    16-cell is also related to the cubic honeycomb, order-4 dodecahedral honeycomb, and order-4 hexagonal tiling honeycomb which all have octahedral vertex figures...
    60 KB (7,175 words) - 18:12, 21 May 2024
  • prismatic honeycomb Gyroelongated alternated cubic honeycomb Gyroelongated triangular prismatic honeycomb Elongated triangular prismatic honeycomb Elongated...
    29 KB (2,667 words) - 01:10, 4 June 2024
  • Thumbnail for Octahedron
    This and the regular tessellation of cubes are the only such uniform honeycombs in 3-dimensional space. Like all regular convex polytopes, the octahedron...
    26 KB (2,764 words) - 20:47, 29 May 2024
  • Thumbnail for Tesseract
    Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45] Coxeter, H.S.M. (1970), "Twisted Honeycombs", Conference Board of the Mathematical Sciences Regional...
    25 KB (2,581 words) - 11:01, 26 June 2024
  • Thumbnail for Convex uniform honeycomb
    cells. Twenty-eight such honeycombs are known: the familiar cubic honeycomb and 7 truncations thereof; the alternated cubic honeycomb and 4 truncations thereof;...
    67 KB (2,193 words) - 22:18, 11 May 2024
  • the geometry of hyperbolic 3-space, the order-4 icosahedral honeycomb is a regular space-filling tessellation (or honeycomb) with Schläfli symbol {3,5...
    12 KB (591 words) - 00:08, 28 January 2024
  • Thumbnail for Uniform honeycombs in hyperbolic space
    polyhedral cells. In 3-dimensional hyperbolic space there are nine Coxeter group families of compact convex uniform honeycombs, generated as Wythoff...
    86 KB (1,414 words) - 19:16, 2 February 2024
  • Thumbnail for Order-8 triangular tiling
    generated from the (4 3 3) hyperbolic tilings: Wikimedia Commons has media related to Order-8 triangular tiling. Order-8 tetrahedral honeycomb Tilings of regular...
    7 KB (359 words) - 21:56, 12 December 2023