• 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 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) - 22:05, 3 May 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
  • hexagonal tilings in the Wythoff construction. The alternated hexagonal tiling honeycomb has 3 related forms: the cantic hexagonal tiling honeycomb,...
    10 KB (473 words) - 18:45, 8 January 2025
  • Thumbnail for Triangular prismatic honeycomb
    up of hexagonal prisms. It is constructed from a hexagonal tiling extruded into prisms. It is one of 28 convex uniform honeycombs. This honeycomb can be...
    17 KB (920 words) - 03:59, 24 July 2024
  • tetrahedral honeycomb Order-6 cubic honeycomb Order-6 dodecahedral honeycomb Hexagonal tiling honeycomb Order-4 hexagonal tiling honeycomb Order-5 hexagonal tiling...
    47 KB (3,579 words) - 21:06, 4 December 2024
  • Thumbnail for Order-5 hexagonal tiling honeycomb
    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 at...
    23 KB (832 words) - 20:26, 9 January 2025
  • 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
  • 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
  • 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
  • octahedron-hexagonal tiling honeycomb is a paracompact uniform honeycomb, constructed from octahedron, hexagonal tiling, and trihexagonal tiling cells, in...
    4 KB (330 words) - 04:56, 28 September 2024
  • Thumbnail for Order-6 dodecahedral honeycomb
    order-5 hexagonal tiling honeycomb. The runcitruncated order-6 dodecahedral honeycomb, t0,1,3{5,3,6} has truncated dodecahedron, rhombitrihexagonal tiling, decagonal...
    13 KB (598 words) - 16:34, 28 February 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 Honeycomb theorem
    The honeycomb theorem, formerly the honeycomb conjecture, states that a regular hexagonal grid or honeycomb has the least total perimeter of any subdivision...
    4 KB (571 words) - 21:54, 3 May 2025
  • Thumbnail for Convex uniform honeycomb
    There are only 3 unique honeycombs from the square tiling, but all 6 tiling truncations are listed below for completeness, and tiling images are shown by...
    67 KB (2,193 words) - 13:34, 13 April 2025
  • 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
  • Thumbnail for Order-3-7 hexagonal honeycomb
    hexagonal tilings existing around each vertex in an order-8 triangular tiling vertex arrangement. It has a second construction as a uniform honeycomb...
    8 KB (419 words) - 04:04, 28 September 2024
  • Thumbnail for Order-4 square tiling honeycomb
    geometry of hyperbolic 3-space, the order-4 square tiling honeycomb is one of 11 paracompact regular honeycombs. It is paracompact because it has infinite cells...
    20 KB (845 words) - 15:01, 8 December 2024
  • Thumbnail for Heptagonal tiling
    In geometry, a heptagonal tiling is a regular tiling of the hyperbolic plane. It is represented by Schläfli symbol of {7,3}, having three regular heptagons...
    4 KB (322 words) - 12:18, 31 July 2024
  • Thumbnail for Tessellation
    Tessellation (redirect from Periodic tiling)
    wallpaper groups. A tiling that lacks a repeating pattern is called "non-periodic". An aperiodic tiling uses a small set of tile shapes that cannot form...
    58 KB (6,057 words) - 13:09, 22 April 2025
  • honeycomb or 6,4,3 honeycomb a regular space-filling tessellation (or honeycomb). Each infinite cell consists of an order-4 hexagonal tiling whose vertices...
    10 KB (619 words) - 21:28, 20 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 Hexagonal lattice
    The honeycomb point set is a special case of the hexagonal lattice with a two-atom basis. The centers of the hexagons of a honeycomb form a hexagonal lattice...
    5 KB (224 words) - 07:00, 4 February 2024
  • 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 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 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
  • around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,81,1}, Coxeter...
    25 KB (1,293 words) - 21:29, 20 August 2024
  • around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction as a uniform honeycomb, Schläfli symbol {3,71,1}, Coxeter...
    25 KB (1,299 words) - 21:29, 20 August 2024