• the 7-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 7-simplex, rectified 7-simplex, birectified 7-simplex...
    7 KB (470 words) - 12:31, 18 August 2024
  • cyclotruncated 7-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 7-simplex, truncated 7-simplex, bitruncated 7-simplex...
    3 KB (227 words) - 11:30, 13 April 2025
  • Thumbnail for Uniform 7-polytope
    6-simplex honeycomb: {3[7]} Uniform Cyclotruncated 6-simplex honeycomb: t0,1{3[7]} Uniform Omnitruncated 6-simplex honeycomb: t0,1,2,3,4,5,6,7{3[7]} C...
    107 KB (1,017 words) - 22:47, 13 July 2025
  • Thumbnail for Simplicial honeycomb
    In geometry, the simplicial honeycomb (or n-simplex honeycomb) is a dimensional infinite series of honeycombs, based on the A ~ n {\displaystyle {\tilde...
    10 KB (527 words) - 19:59, 14 April 2025
  • the omnitruncated 7-simplex honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely of omnitruncated 7-simplex facets. The facets...
    3 KB (250 words) - 13:17, 20 June 2017
  • Thumbnail for Cyclotruncated simplicial honeycomb
    cyclotruncated simplicial honeycomb (or cyclotruncated n-simplex honeycomb) is a dimensional infinite series of honeycombs, based on the symmetry of the...
    8 KB (439 words) - 15:22, 14 May 2025
  • geometry, the 6-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 6-simplex, rectified 6-simplex, and birectified...
    5 KB (365 words) - 11:28, 13 April 2025
  • geometry, the 8-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 8-simplex, rectified 8-simplex, birectified...
    7 KB (459 words) - 11:17, 13 April 2025
  • geometry, the 4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed...
    18 KB (1,090 words) - 20:07, 14 April 2025
  • cyclotruncated 8-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 8-simplex, truncated 8-simplex, bitruncated...
    3 KB (236 words) - 11:31, 13 April 2025
  • In geometry an omnitruncated simplicial honeycomb or omnitruncated n-simplex honeycomb is an n-dimensional uniform tessellation, based on the symmetry...
    6 KB (256 words) - 15:23, 14 May 2025
  • 6-cubic honeycomb 6-simplex honeycomb 6-demicubic honeycomb 222 honeycomb Seven-dimensional space, uniform 7-polytope 7-simplex, Rectified 7-simplex, Truncated...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • in 7-space: 7-cube honeycomb 7-demicube honeycomb 7-simplex honeycomb Truncated 7-simplex honeycomb Omnitruncated 7-simplex honeycomb Coxeter, Regular and...
    2 KB (210 words) - 17:20, 19 December 2024
  • Thumbnail for Uniform 8-polytope
    7-space: Regular and uniform tessellations include: A ~ 7 {\displaystyle {\tilde {A}}_{7}} 29 uniquely ringed forms, including: 7-simplex honeycomb:...
    148 KB (1,014 words) - 22:46, 13 July 2025
  • five-dimensional Euclidean geometry, the 5-simplex honeycomb or hexateric honeycomb is a space-filling tessellation (or honeycomb or pentacomb). Each vertex is shared...
    5 KB (378 words) - 12:31, 18 August 2024
  • uniform honeycombs in 8-space: 8-cubic honeycomb 8-demicubic honeycomb 8-simplex honeycomb Truncated 8-simplex honeycomb 521 honeycomb 251 honeycomb 152 honeycomb...
    3 KB (255 words) - 13:16, 20 June 2017
  • Thumbnail for Uniform 9-polytope
    uniquely ringed forms 8-simplex honeycomb: {3[9]} C ~ 8 {\displaystyle {\tilde {C}}_{8}} 271 uniquely ringed forms Regular 8-cube honeycomb: {4,36,4}, B ~ 8...
    82 KB (892 words) - 22:12, 13 July 2025
  • The 621 honeycomb is constructed from alternating 9-simplex and 9-orthoplex facets within the symmetry of the E10 Coxeter group. This honeycomb is highly...
    13 KB (804 words) - 21:57, 12 December 2023
  • 6-cubic honeycomb 6-simplex honeycomb 6-demicubic honeycomb 222 honeycomb Seven-dimensional space, uniform 7-polytope 7-simplex, Rectified 7-simplex, Truncated...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • omnitruncated 6-simplex honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely of omnitruncated 6-simplex facets. The facets...
    3 KB (247 words) - 18:32, 14 December 2021
  • geometry, the omnitruncated 5-simplex honeycomb or omnitruncated hexateric honeycomb is a space-filling tessellation (or honeycomb). It is composed entirely...
    4 KB (312 words) - 04:09, 8 February 2020
  • Thumbnail for Uniform 6-polytope
    honeycombs include: A ~ 5 {\displaystyle {\tilde {A}}_{5}} There are 12 unique uniform honeycombs, including: 5-simplex honeycomb Truncated 5-simplex...
    69 KB (1,500 words) - 22:43, 13 July 2025
  • Thumbnail for Rectified 7-simplexes
    the 7-simplex itself. Vertices of the rectified 7-simplex are located at the edge-centers of the 7-simplex. Vertices of the birectified 7-simplex are...
    9 KB (525 words) - 00:54, 14 June 2025
  • Thumbnail for Uniform 5-polytope
    {A}}_{4}} , family, all new, including: 4-simplex honeycomb Truncated 4-simplex honeycomb Omnitruncated 4-simplex honeycomb There are 9 uniquely ringed forms...
    92 KB (2,250 words) - 22:47, 13 July 2025
  • cyclotruncated 6-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 6-simplex, truncated 6-simplex, bitruncated...
    3 KB (225 words) - 11:27, 13 April 2025
  • Thumbnail for Uniform 10-polytope
    family, generated by end-ringed Coxeter diagrams are: 621 honeycomb: 261 honeycomb: 162 honeycomb: Richeson, D.; Euler's Gem: The Polyhedron Formula and...
    23 KB (831 words) - 22:12, 13 July 2025
  • uniform honeycombs in 5-space: 5-cube honeycomb 5-demicube honeycomb 5-simplex honeycomb Truncated 5-simplex honeycomb Omnitruncated 5-simplex honeycomb "The...
    7 KB (489 words) - 19:57, 14 April 2025
  • In geometry, the 222 honeycomb is a uniform tessellation of the six-dimensional Euclidean space. It can be represented by the Schläfli symbol {3,3,32...
    13 KB (777 words) - 22:05, 14 June 2025
  • Thumbnail for Pentellated 6-simplexes
    vectors of the simple Lie group A6. It is the vertex figure of the 6-simplex honeycomb. Note: (*) Symmetry doubled for Ak graphs with even k due to symmetrically-ringed...
    55 KB (1,127 words) - 14:20, 3 June 2025
  • different edge lengths. The vertex figure of the omnitruncated 5-simplex honeycomb, , is a 5-simplex with a petrie polygon cycle of 5 long edges. Its symmetry...
    10 KB (1,090 words) - 18:02, 29 June 2025