• Thumbnail for Hexagonal tiling honeycomb
    symbol of 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...
    21 KB (843 words) - 09:49, 9 January 2025
  • Thumbnail for Order-6 hexagonal tiling honeycomb
    the 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...
    24 KB (961 words) - 09:02, 4 September 2024
  • Thumbnail for Order-4 hexagonal tiling honeycomb
    uniform honeycomb in spherical space. The Schläfli symbol of the order-4 hexagonal tiling honeycomb is {6,3,4}. Since that of the hexagonal tiling is {6...
    27 KB (976 words) - 19:49, 16 January 2025
  • Thumbnail for Triangular tiling honeycomb
    the hexagonal tiling honeycomb, . It contains hexagonal tiling facets with a tetrahedral vertex figure. The bitruncated triangular tiling honeycomb, ,...
    18 KB (701 words) - 02:03, 10 January 2025
  • Thumbnail for List of regular polytopes
    Euclidean 3-space) 1 p + 1 q = 1 2 : Euclidean plane tiling 1 p + 1 q < 1 2 : Hyperbolic plane tiling {\displaystyle {\begin{aligned}&{\frac {1}{p}}+{\frac...
    100 KB (5,446 words) - 18:33, 2 May 2025
  • Thumbnail for Order-5 hexagonal tiling honeycomb
    of the order-5 hexagonal tiling honeycomb is {6,3,5}. Since that of the hexagonal tiling is {6,3}, this honeycomb has five such hexagonal tilings meeting...
    23 KB (832 words) - 20:26, 9 January 2025
  • Thumbnail for Hexagonal tiling
    three regular hexagons, denoted as 6.6.6 {\displaystyle 6.6.6} by vertex configuration. The dual of a hexagonal tiling is triangular tiling, because the...
    20 KB (1,603 words) - 22:05, 3 May 2025
  • Thumbnail for Order-6 tetrahedral honeycomb
    bitruncated hexagonal tiling honeycomb. The runcitruncated order-6 tetrahedral honeycomb is equivalent to the runcicantellated hexagonal tiling honeycomb. The...
    12 KB (605 words) - 23:13, 15 January 2025
  • Thumbnail for Order-6 dodecahedral honeycomb
    order-5 hexagonal tiling honeycomb. The cantellated order-6 dodecahedral honeycomb, t0,2{5,3,6}, has rhombicosidodecahedron, trihexagonal tiling, and hexagonal...
    13 KB (598 words) - 16:34, 28 February 2025
  • uniform honeycombs with infinite or unbounded facets or vertex figure, including ideal vertices at infinity, similar to the hyperbolic uniform tilings in 2-dimensions...
    257 KB (1,055 words) - 14:44, 13 March 2025
  • hosohedral honeycomb Hexagonal hosohedral honeycomb[citation needed] Order-2 square tiling honeycomb Order-2 triangular tiling honeycomb Order-2 hexagonal tiling...
    47 KB (3,579 words) - 21:06, 4 December 2024
  • Thumbnail for Truncated order-6 hexagonal tiling
    In geometry, the truncated order-6 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{6,6}. It can also be identically...
    4 KB (211 words) - 21:56, 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 dodecahedral honeycomb
    dodecahedral cells. This honeycomb is also related to the 16-cell, cubic honeycomb, and order-4 hexagonal tiling honeycomb all which have octahedral...
    15 KB (659 words) - 19:42, 16 January 2025
  • hexagonal honeycomb is {6,8,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is an octagonal tiling...
    25 KB (1,293 words) - 21:29, 20 August 2024
  • hexagonal honeycomb is {6,7,3}, with three order-5 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a heptagonal tiling...
    25 KB (1,299 words) - 21:29, 20 August 2024
  • Thumbnail for Trihexagonal tiling
    hexadeltille, combining alternate elements from a hexagonal tiling (hextille) and triangular tiling (deltille). Kagome (Japanese: 籠目) is a traditional...
    16 KB (1,625 words) - 23:23, 26 February 2025
  • honeycomb is a heptagonal tiling, {∞,3}. In the geometry of hyperbolic 3-space, the order-infinite-3 hexagonal honeycomb (or 6,∞,3 honeycomb) a regular space-filling...
    31 KB (1,578 words) - 16:48, 3 August 2024
  • Thumbnail for Triangular tiling
    regular tilings of the plane. The other two are the square tiling and the hexagonal tiling. There are 9 distinct uniform colorings of a triangular tiling. (Naming...
    10 KB (858 words) - 14:08, 25 November 2024
  • Thumbnail for Honeycomb (geometry)
    tiling or tessellation in any number of dimensions. Its dimension can be clarified as n-honeycomb for a honeycomb of n-dimensional space. Honeycombs are...
    14 KB (1,321 words) - 13:44, 6 May 2025
  • 3-space, the hexagonal tiling-triangular tiling honeycomb is a paracompact uniform honeycomb, constructed from triangular tiling, hexagonal tiling, and trihexagonal...
    3 KB (294 words) - 23:21, 15 January 2025
  • Thumbnail for Hexagon
    Hexagonal crystal system Hexagonal number Hexagonal tiling: a regular tiling of hexagons in a plane Hexagram: six-sided star within a regular hexagon...
    31 KB (2,873 words) - 21:58, 3 May 2025
  • Thumbnail for Square tiling honeycomb
    This honeycomb contains that tile 2-hypercycle surfaces, which are similar to the paracompact order-3 apeirogonal tiling : The square tiling honeycomb is...
    26 KB (898 words) - 19:50, 16 January 2025
  • Thumbnail for Semiregular polytope
    tiling honeycomb, ↔ Alternated order-4 hexagonal tiling honeycomb, ↔ Alternated order-5 hexagonal tiling honeycomb, ↔ Alternated order-6 hexagonal tiling honeycomb...
    9 KB (633 words) - 03:30, 24 July 2024
  • Thumbnail for Order-4 octahedral honeycomb
    square tiling facets, with a mirrored sphenoid vertex figure. The runcinated order-4 octahedral honeycomb is the same as the runcinated square tiling honeycomb...
    14 KB (615 words) - 19:51, 16 January 2025
  • triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli...
    10 KB (536 words) - 23:23, 15 January 2025
  • of the order-4-3 hexagonal honeycomb is {6,4,3}, with three order-4 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a cube...
    10 KB (619 words) - 21:28, 20 August 2024
  • Thumbnail for Order-5 cubic honeycomb
    an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs are usually constructed in ordinary Euclidean...
    22 KB (844 words) - 19:43, 16 January 2025
  • 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
  • hexagonal tilings existing around each vertex in an order-6 pentagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb...
    11 KB (544 words) - 21:29, 20 August 2024