• 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
  • 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) - 23:15, 8 March 2024
  • Thumbnail for Alternated order-4 hexagonal tiling
    In geometry, the alternated order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of (3,4,4), h{6,4}, and hr{6,6}...
    3 KB (166 words) - 21:58, 12 December 2023
  • Thumbnail for Truncated order-4 hexagonal tiling
    In geometry, the truncated order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t{6,4}. A secondary construction...
    8 KB (302 words) - 08:38, 28 May 2022
  • Thumbnail for Order-4 hexagonal tiling honeycomb
    In the field of hyperbolic geometry, the order-4 hexagonal tiling honeycomb arises as one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic...
    27 KB (976 words) - 14:59, 15 January 2024
  • Thumbnail for Cantic order-4 hexagonal tiling
    In geometry, the cantic order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{(4,4,3)} or h2{6,4}. John...
    2 KB (144 words) - 21:57, 12 December 2023
  • Thumbnail for Order-6 hexagonal tiling honeycomb
    The truncated order-6 hexagonal tiling honeycomb, t0,1{6,3,6}, has triangular tiling and truncated hexagonal tiling facets, with a hexagonal pyramid vertex...
    24 KB (961 words) - 20:34, 14 July 2020
  • 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) - 18:07, 31 December 2023
  • Thumbnail for Order-5 hexagonal tiling honeycomb
    truncated hexagonal tiling facets, with a pentagonal pyramid vertex figure. The bitruncated order-5 hexagonal tiling honeycomb, t1,2{6,3,5}, has hexagonal tiling...
    22 KB (832 words) - 15:00, 15 January 2024
  • 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-8 hexagonal tiling
    In geometry, the order-8 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,8}. There are four uniform constructions...
    3 KB (236 words) - 21:58, 12 December 2023
  • Thumbnail for Truncated hexagonal tiling
    In geometry, the truncated hexagonal tiling is a semiregular tiling of the Euclidean plane. There are 2 dodecagons (12-sides) and one triangle on each...
    9 KB (745 words) - 22:06, 12 December 2023
  • Thumbnail for Order-5 hexagonal tiling
    In geometry, the order-5 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of {6,5}. This tiling is topologically related...
    2 KB (188 words) - 20:14, 12 December 2023
  • Thumbnail for Order-6 cubic honeycomb
    the omnitruncated order-4 hexagonal tiling honeycomb. In three-dimensional hyperbolic geometry, the alternated order-6 hexagonal tiling honeycomb is a uniform...
    21 KB (908 words) - 00:14, 28 January 2024
  • Thumbnail for Order-3-7 hexagonal honeycomb
    regular polychora and honeycombs with hexagonal tiling cells. In the geometry of hyperbolic 3-space, the order-3-8 hexagonal honeycomb or (6,3,8 honeycomb) is...
    8 KB (419 words) - 14:45, 16 January 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 (1,622 words) - 15:28, 8 March 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 Truncated trihexagonal tiling
    There are eight uniform tilings that can be based from the regular hexagonal tiling (or the dual triangular tiling). Drawing the tiles colored as red on the...
    10 KB (728 words) - 21:54, 12 December 2023
  • Hexagonal tiling honeycomb Order-4 hexagonal tiling honeycomb Order-5 hexagonal tiling honeycomb Order-6 hexagonal tiling honeycomb 5-polytope Honeycomb...
    47 KB (3,577 words) - 12:36, 23 May 2024
  • boundary) with infinitely many order-8 triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction...
    25 KB (1,293 words) - 00:14, 28 January 2024
  • Thumbnail for Truncated order-8 hexagonal tiling
    the truncated order-8 hexagonal tiling is a semiregular tiling of the hyperbolic plane. It has Schläfli symbol of t{6,8}. This tiling can also be constructed...
    5 KB (343 words) - 21:58, 12 December 2023
  • is {4,6,3}, with three order-4 hexagonal tilings meeting at each edge. The vertex figure of this honeycomb is a hexagonal tiling, {6,3}. It is a part of...
    9 KB (546 words) - 00:14, 28 January 2024
  • boundary) with infinitely many order-7 triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction...
    25 KB (1,299 words) - 00:14, 28 January 2024
  • order-4 apeirogonal tiling {∞,4} around each edge. All vertices are ultra-ideal (existing beyond the ideal boundary) with infinitely many hexagonal tilings...
    8 KB (411 words) - 00:08, 28 January 2024
  • Thumbnail for Truncated order-5 hexagonal tiling
    In geometry, the truncated order-5 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t0,1{6,5}. John H. Conway, Heidi...
    2 KB (134 words) - 20:12, 12 December 2023
  • 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) - 23:27, 14 January 2024
  • Thumbnail for Order-4 square tiling honeycomb
    rectified order-4 hexagonal tiling honeycomb, t1{4,4,4}, has square tiling facets, with a cubic vertex figure. It is the same as the regular square tiling honeycomb...
    20 KB (845 words) - 00:08, 28 January 2024
  • beyond the ideal boundary) with four order-6 square tilings existing around each edge and with an order-4 hexagonal tiling vertex figure. It a part of a sequence...
    9 KB (478 words) - 08:13, 10 March 2024
  • Thumbnail for Rhombitrihexagonal tiling
    the rhombitrihexagonal tiling is a semiregular tiling of the Euclidean plane. There are one triangle, two squares, and one hexagon on each vertex. It has...
    12 KB (928 words) - 14:00, 8 March 2024
  • boundary) with infinitely many triangular tilings existing around each vertex in an order-4 hexagonal tiling vertex arrangement. It has a second construction...
    10 KB (536 words) - 00:14, 28 January 2024