• the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and...
    18 KB (1,090 words) - 20:07, 14 April 2025
  • 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
  • Thumbnail for Icosahedral honeycomb
    It is analogous to the 24-cell and the 5-cell. A geometric honeycomb is a space-filling of polyhedral or higher-dimensional cells, so that there are no...
    19 KB (716 words) - 23:01, 17 April 2025
  • 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
  • Thumbnail for 16-cell honeycomb
    constructed by a 4-dimensional packing of 16-cell facets, three around every face. Its dual is the 24-cell honeycomb. Its vertex figure is a 24-cell. The vertex...
    9 KB (715 words) - 20:04, 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 honeycombs around each cell. It is dual to the order-4 24-cell honeycomb honeycomb. It is related to the regular Euclidean 4-space tesseractic...
    3 KB (174 words) - 00:20, 29 January 2024
  • hyperbolic 5-space, the order-4 24-cell honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is called paracompact...
    3 KB (149 words) - 00:08, 28 January 2024
  • 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 (201 words) - 16:05, 2 November 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 (228 words) - 18:39, 26 December 2017
  • geometry of hyperbolic 4-space, the order-4 24-cell honeycomb is one of two paracompact regular space-filling tessellations (or honeycombs). It is called paracompact...
    2 KB (137 words) - 00:08, 28 January 2024
  • cubic honeycombs around each face, and with a {3,4,3} vertex figure. It is dual to the order-4 24-cell honeycomb. It is related to the Euclidean 4-space...
    3 KB (193 words) - 00:56, 22 January 2024
  • 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) - 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 (237 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...
    6 KB (281 words) - 18:38, 26 December 2017
  • Thumbnail for 24-cell
    observed in a single 24-cell or the 24-cell honeycomb. The 24-cell is the fourth in the sequence of six convex regular 4-polytopes (in order of size and complexity)...
    234 KB (30,655 words) - 19:27, 11 May 2025
  • 5-orthoplex honeycomb. It is related to the regular Euclidean 4-space 24-cell honeycomb, {3,4,3,3}, and the hyperbolic 5-space order-4 24-cell honeycomb honeycomb...
    3 KB (150 words) - 00:07, 21 December 2023
  • Thumbnail for Tetrahedral-octahedral honeycomb
    The tetrahedral-octahedral honeycomb, alternated cubic honeycomb is a quasiregular space-filling tessellation (or honeycomb) in Euclidean 3-space. It is...
    33 KB (2,203 words) - 19:56, 14 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 (228 words) - 18:39, 26 December 2017
  • 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
  • Thumbnail for Convex uniform honeycomb
    uniform honeycomb is a uniform tessellation which fills three-dimensional Euclidean space with non-overlapping convex uniform polyhedral cells. Twenty-eight...
    67 KB (2,193 words) - 13:34, 13 April 2025
  • Thumbnail for List of regular polytopes
    noncompact. There are no regular hyperbolic star-honeycombs in H3: all forms with a regular star polyhedron as cell, vertex figure or both end up being spherical...
    100 KB (5,446 words) - 19:48, 13 June 2025
  • 16-cell honeycomb (or cantic tesseractic honeycomb) is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by 24-cell...
    3 KB (387 words) - 18:38, 26 December 2017
  • 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
  • honeycombs in 4-space: Tesseractic honeycomb 16-cell honeycomb 24-cell honeycomb Truncated 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated...
    6 KB (228 words) - 18:38, 26 December 2017
  • the F ~ 4 {\displaystyle {\tilde {F}}_{4}} by a geometric folding, so this honeycomb can be projected into the 4-dimensional 16-cell honeycomb. The 222...
    13 KB (777 words) - 22:05, 14 June 2025
  • 600-cell honeycomb Order-5 icosahedral 120-cell honeycomb Great 120-cell honeycomb 5-orthoplex honeycomb 24-cell honeycomb honeycomb 16-cell honeycomb honeycomb...
    46 KB (3,547 words) - 00:42, 27 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 (203 words) - 15:56, 25 June 2022