• Thumbnail for 16-cell honeycomb
    four-dimensional Euclidean geometry, the 16-cell honeycomb is one of the three regular space-filling tessellations (or honeycombs), represented by Schläfli symbol...
    9 KB (715 words) - 20:04, 14 April 2025
  • 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified...
    18 KB (1,090 words) - 20:07, 14 April 2025
  • Thumbnail for 24-cell honeycomb
    Euclidean geometry, the 24-cell honeycomb, or icositetrachoric honeycomb is a regular space-filling tessellation (or honeycomb) of 4-dimensional Euclidean...
    13 KB (1,392 words) - 23:35, 18 April 2024
  • Tesseractic honeycomb 24-cell honeycomb Snub 24-cell honeycomb Rectified 24-cell honeycomb Truncated 24-cell honeycomb 16-cell honeycomb 5-cell honeycomb Omnitruncated...
    47 KB (3,579 words) - 21:06, 4 December 2024
  • order-5 5-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {3,3,3,5}, it has five 5-cells around...
    2 KB (144 words) - 16:43, 5 March 2025
  • Thumbnail for Runcinated 5-cell
    is also the vertex figure for the 5-cell honeycomb in 4-space. The maximal cross-section of the runcinated 5-cell with a 3-dimensional hyperplane is...
    40 KB (1,758 words) - 18:47, 25 March 2025
  • Thumbnail for Tesseractic honeycomb
    uniform honeycombs in 4-space: 16-cell honeycomb 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb Baake, M;...
    9 KB (1,031 words) - 15:50, 15 December 2024
  • Tesseractic honeycomb 24-cell honeycomb Snub 24-cell honeycomb Rectified 24-cell honeycomb Truncated 24-cell honeycomb 16-cell honeycomb 5-cell honeycomb Omnitruncated...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • Thumbnail for Honeycomb
    A honeycomb is a mass of hexagonal prismatic cells built from beeswax by honey bees in their nests to contain their brood (eggs, larvae, and pupae) and...
    10 KB (1,275 words) - 21:58, 3 May 2025
  • { } Pentagon, {5} Dodecahedron, {5, 3} (12 pentagonal faces) 120-cell, {5, 3, 3} (120 dodecahedral cells) Order-3 120-cell honeycomb, {5, 3, 3, 3} (tessellates...
    8 KB (494 words) - 03:45, 24 July 2024
  • 24-cell honeycomb, or snub icositetrachoric honeycomb is a uniform space-filling tessellation (or honeycomb) by snub 24-cells, 16-cells, and 5-cells. It...
    6 KB (379 words) - 18:38, 26 December 2017
  • Thumbnail for Simplicial honeycomb
    graph , with 5-cell and rectified 5-cell facets. In 5 dimensions it is called the 5-simplex honeycomb, with Coxeter graph , filling space by 5-simplex, rectified...
    10 KB (527 words) - 19:59, 14 April 2025
  • geometry, the 5-simplex honeycomb or hexateric honeycomb is a space-filling tessellation (or honeycomb or pentacomb). Each vertex is shared by 12 5-simplexes...
    5 KB (378 words) - 12:31, 18 August 2024
  • is the order-5 5-cell honeycomb, {3,3,3,5}. It is related to the order-4 120-cell honeycomb, {5,3,3,4}, and order-5 120-cell honeycomb, {5,3,3,5}. It...
    2 KB (148 words) - 12:35, 29 February 2024
  • Thumbnail for 600-cell
    form Euclidean honeycombs (16-cell, 8-cell, 24-cell). Banchoff 2013, studied the decomposition of regular 4-polytopes into honeycombs of tori tiling the...
    217 KB (28,920 words) - 13:47, 28 April 2025
  • Thumbnail for Order-5 cubic honeycomb
    index 120. The order-5 cubic honeycomb has a related alternated honeycomb, ↔ , with icosahedron and tetrahedron cells. The honeycomb is also one of four...
    22 KB (844 words) - 19:43, 16 January 2025
  • Thumbnail for Tetragonal disphenoid honeycomb
    tetrahedral honeycomb is a space-filling tessellation (or honeycomb) in Euclidean 3-space made up of identical tetragonal disphenoidal cells. Cells are face-transitive...
    12 KB (890 words) - 14:44, 10 February 2025
  • Thumbnail for Cyclotruncated simplicial honeycomb
    tetrahedral cells. In 4-dimensions it is called a cyclotruncated 5-cell honeycomb, with Coxeter graph , with 5-cell, truncated 5-cell, and bitruncated 5-cell facets...
    8 KB (439 words) - 15:22, 14 May 2025
  • Thumbnail for Hexagonal tiling honeycomb
    hexagonal tiling honeycomb is one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is paracompact because it has cells composed of...
    21 KB (843 words) - 09:49, 9 January 2025
  • Thumbnail for Bitruncated cubic honeycomb
    cell-transitive. It is also edge-transitive, with 2 hexagons and one square on each edge, and vertex-transitive. It is one of 28 uniform honeycombs....
    15 KB (871 words) - 06:47, 7 November 2024
  • pentagrammic-order 600-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {3,3,5,5/2}, it has five 600-cells around each face in...
    3 KB (222 words) - 23:11, 12 May 2024
  • Thumbnail for List of regular polytopes
    domains in hyperbolic space (the fundamental 5-cell having some parts inaccessible beyond infinity). All honeycombs which are not shown in the set of tables...
    100 KB (5,446 words) - 18:33, 2 May 2025
  • geometry, the 5-cubic honeycomb or penteractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 5-space. Four 5-cubes meet...
    6 KB (470 words) - 21:36, 31 March 2024
  • Thumbnail for Honeycomb (geometry)
    In geometry, a honeycomb is a space filling or close packing of polyhedral or higher-dimensional cells, so that there are no gaps. It is an example of...
    14 KB (1,321 words) - 13:44, 6 May 2025
  • honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated...
    3 KB (225 words) - 02:03, 21 December 2023
  • honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated...
    3 KB (228 words) - 18:39, 26 December 2017
  • Thumbnail for Cubic honeycomb
    cubic honeycomb or cubic cellulation is the only proper regular space-filling tessellation (or honeycomb) in Euclidean 3-space made up of cubic cells. It...
    16 KB (1,756 words) - 12:28, 2 April 2025
  • honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated...
    3 KB (203 words) - 15:56, 25 June 2022
  • honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated...
    3 KB (219 words) - 19:23, 6 June 2020
  • 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....
    38 KB (3,699 words) - 19:35, 25 March 2025