6-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 6-simplex, rectified 6-simplex, and birectified 6-simplex...
5 KB (365 words) - 11:28, 13 April 2025
the 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
List of mathematical shapes (section Honeycombs)
honeycomb 5-simplex honeycomb Truncated 5-simplex honeycomb 5-demicubic honeycomb Six-dimensional space, 6-polytope and uniform 6-polytope 6-simplex,...
47 KB (3,579 words) - 21:06, 4 December 2024
Uniform 7-polytope (redirect from Uniform 6-honeycomb)
Cyclotruncated 6-simplex honeycomb: t0,1{3[7]} Uniform Omnitruncated 6-simplex honeycomb: t0,1,2,3,4,5,6,7{3[7]} C ~ 6 {\displaystyle {\tilde {C}}_{6}} , [4,34...
107 KB (1,015 words) - 21:19, 18 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) - 09:41, 27 January 2025
cyclotruncated 6-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 6-simplex, truncated 6-simplex, bitruncated 6-simplex...
3 KB (225 words) - 11:27, 13 April 2025
honeycomb 5-simplex honeycomb Truncated 5-simplex honeycomb 5-demicubic honeycomb Six-dimensional space, 6-polytope and uniform 6-polytope 6-simplex,...
30 KB (2,692 words) - 15:23, 9 February 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
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
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) - 09:33, 29 November 2024
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
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) - 07:33, 30 April 2025
cyclotruncated 7-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 7-simplex, truncated 7-simplex, bitruncated...
3 KB (227 words) - 11:30, 13 April 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
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 7-simplex honeycomb is a space-filling tessellation (or honeycomb). The tessellation fills space by 7-simplex, rectified 7-simplex, birectified...
7 KB (470 words) - 12:31, 18 August 2024
Vinberg polytope with mirror symmetry are related to the simplex groups, and their uniform honeycombs have not been systematically explored. These nonsimplectic...
257 KB (1,055 words) - 14:44, 13 March 2025
honeycombs include: A ~ 5 {\displaystyle {\tilde {A}}_{5}} There are 12 unique uniform honeycombs, including: 5-simplex honeycomb Truncated 5-simplex...
68 KB (1,491 words) - 10:18, 10 May 2025
case of the function is an orientation of the tetragonal disphenoid honeycomb. Simplex noise is useful for computer graphics applications, where noise is...
8 KB (1,075 words) - 12:48, 21 March 2025
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
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
in 5-space: 6-cube honeycomb 6-demicube honeycomb 6-simplex honeycomb Truncated 6-simplex honeycomb Omnitruncated 6-simplex honeycomb Coxeter, Regular and...
2 KB (210 words) - 14:04, 17 March 2023
The expanded 6-simplex is the vertex figure of the uniform 6-simplex honeycomb, . The 6-demicube honeycomb, , vertex figure is a rectified 6-orthoplex and...
10 KB (878 words) - 21:08, 21 November 2022
6-simplex is a self-dual regular 6-polytope. It has 7 vertices, 21 edges, 35 triangle faces, 35 tetrahedral cells, 21 5-cell 4-faces, and 7 5-simplex...
6 KB (690 words) - 16:52, 9 April 2024
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
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
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 (894 words) - 15:27, 21 January 2024
field of hyperbolic geometry, the hexagonal tiling honeycomb is one of 11 regular paracompact honeycombs in 3-dimensional hyperbolic space. It is paracompact...
21 KB (843 words) - 09:49, 9 January 2025
respectively): The order-6 hexagonal tiling honeycomb has a half-symmetry construction: . It also has an index-6 subgroup, [6,3*,6], with a non-simplex fundamental...
24 KB (961 words) - 09:02, 4 September 2024
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) - 00:48, 27 October 2024