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
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) - 21:56, 20 July 2025
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
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
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 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
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
in 7-space: 7-cube honeycomb 7-demicube honeycomb 7-simplex honeycomb Truncated 7-simplex honeycomb Omnitruncated 7-simplex honeycomb Coxeter, Regular and...
3 KB (218 words) - 23:25, 18 July 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
List of mathematical shapes (section Honeycombs)
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 (3,545 words) - 22:21, 19 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
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
Uniform 8-polytope (redirect from Uniform 7-honeycomb)
7-space: Regular and uniform tessellations include: A ~ 7 {\displaystyle {\tilde {A}}_{7}} 29 uniquely ringed forms, including: 7-simplex honeycomb:...
149 KB (1,015 words) - 02:22, 18 July 2025
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
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
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 (812 words) - 22:44, 17 July 2025
Uniform 9-polytope (redirect from Uniform 8-honeycomb)
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
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
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) - 21:15, 20 July 2025
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
Uniform 6-polytope (redirect from Uniform 5-honeycomb)
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
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
Uniform 5-polytope (redirect from Uniform 4-honeycomb)
{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
geometry, a hexicated 7-simplex is a convex uniform 7-polytope, including 6th-order truncations (hexication) from the regular 7-simplex. There are 20 unique...
38 KB (1,287 words) - 21:46, 20 July 2025
7-simplex is a convex uniform 7-polytope with 4th order truncations (sterication) of the regular 7-simplex. There are 14 unique sterication for the 7-simplex...
24 KB (764 words) - 21:09, 20 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
Uniform 10-polytope (redirect from Uniform 9-honeycomb)
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
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