• being either tops of the rectified 5-cell or the bases of the 5-cell, and the octahedra being the bottoms of the rectified 5-cell. Cyclopentachoric tetracomb...
    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
  • tesseract and rectified 24-cell cells. Rectified icositetrachoric tetracomb Rectified icositetrachoric honeycomb Cantellated 16-cell honeycomb Bicantellated...
    6 KB (228 words) - 18:38, 26 December 2017
  • Thumbnail for 16-cell honeycomb
    and its Voronoi tessellation is a 24-cell honeycomb, , containing all rectified 16-cells (24-cell) Voronoi cells, or . There are three different symmetry...
    9 KB (716 words) - 07:41, 1 July 2025
  • Thumbnail for Cubic honeycomb
    many cells exist around the edge. The alternated cantitruncated cubic honeycomb or snub rectified cubic honeycomb contains three types of cells: snub...
    16 KB (1,756 words) - 12:28, 2 April 2025
  • Thumbnail for 24-cell
    the 24-cell can tesselate four-dimensional space face-to-face, forming the 24-cell honeycomb. As a polytope that can tile by translation, the 24-cell is...
    239 KB (30,715 words) - 14:35, 30 July 2025
  • 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
  • Tesseractic honeycomb 24-cell honeycomb Snub 24-cell honeycomb Rectified 24-cell honeycomb Truncated 24-cell honeycomb 16-cell honeycomb 5-cell honeycomb Omnitruncated...
    46 KB (3,545 words) - 22:21, 19 July 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...
    6 KB (281 words) - 18:38, 26 December 2017
  • 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 (237 words) - 18:39, 26 December 2017
  • cantellated 24-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a cantellation of the regular 24-cell honeycomb, containing rectified tesseract...
    3 KB (225 words) - 01:55, 14 November 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
  • 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 (201 words) - 16:05, 2 November 2022
  • Thumbnail for Simplicial honeycomb
    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 5-simplex...
    10 KB (527 words) - 19:59, 14 April 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
  • 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 (223 words) - 18:39, 26 December 2017
  • 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
  • honeycomb which creates new vertices on the middle of all the original edges, rectifying the cells into rectified tesseracts, and adding new 16-cell facets...
    4 KB (433 words) - 08:52, 14 June 2025
  • Thumbnail for Icosahedral honeycomb
    called truncated dodecahedral honeycomb, each of whose cells are truncated dodecahedra. The rectified icosahedral honeycomb, t1{3,5,3}, , has alternating...
    19 KB (716 words) - 23:01, 17 April 2025
  • 16-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a runcination of the regular 16-cell honeycomb, containing Rectified 24-cell,...
    3 KB (228 words) - 18:39, 26 December 2017
  • 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
  • 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) - 11:41, 11 July 2025
  • Thumbnail for Square tiling honeycomb
    rectified order-4 square tiling honeycomb, r{4,4,4}: The square tiling honeycomb has three reflective symmetry constructions: as a regular honeycomb,...
    26 KB (898 words) - 02:07, 22 July 2025
  • honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Truncated 24-cell honeycomb Snub 24-cell...
    4 KB (194 words) - 03:24, 7 February 2025
  • Thumbnail for Rectified 24-cell
    the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes...
    7 KB (529 words) - 03:18, 24 July 2024
  • Thumbnail for Birectified 16-cell honeycomb
    honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Truncated 24-cell honeycomb Snub 24-cell...
    4 KB (351 words) - 18:39, 26 December 2017
  • 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 Tetrahedral bipyramid
    figure. And, as well, it exists as the cells of the dual to the rectified 24-cell honeycomb. Triangular bipyramid - A lower dimensional analogy of the tetrahedral...
    3 KB (198 words) - 00:56, 12 August 2024
  • Thumbnail for Semiregular polytope
    honeycomb, Paracompact uniform honeycombs, 3D honeycombs, which include uniform tilings as cells: Rectified order-6 tetrahedral honeycomb, Rectified square...
    9 KB (633 words) - 03:30, 24 July 2024
  • Thumbnail for Uniform honeycombs in hyperbolic space
    uniform polyhedral cells. In 3-dimensional hyperbolic space there are nine Coxeter group families of compact convex uniform honeycombs, generated as Wythoff...
    88 KB (1,626 words) - 09:45, 9 January 2025