4-simplex honeycomb, 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified...
18 KB (1,090 words) - 20:07, 14 April 2025
four-dimensional Euclidean geometry, the 16-cell honeycomb is one of the three regular space-filling tessellations (or honeycombs), represented by Schläfli symbol...
9 KB (716 words) - 07:41, 1 July 2025
order-5 5-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {3,3,3,5}, it has five 5-cells around...
2 KB (144 words) - 16:43, 5 March 2025
List of mathematical shapes (section Honeycombs)
120-cell honeycomb Great 120-cell honeycomb 5-orthoplex honeycomb 24-cell honeycomb honeycomb 16-cell honeycomb honeycomb Order-4 24-cell honeycomb honeycomb...
46 KB (3,545 words) - 22:21, 19 July 2025
A honeycomb is a mass of hexagonal prismatic cells built from beeswax by honey bees in their nests to contain their brood (eggs, larvae, and pupae) and...
10 KB (1,275 words) - 21:58, 3 May 2025
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
is the order-5 5-cell honeycomb, {3,3,3,5}. It is related to the order-4 120-cell honeycomb, {5,3,3,4}, and order-5 120-cell honeycomb, {5,3,3,5}. It...
2 KB (148 words) - 12:35, 29 February 2024
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
graph , with 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...
10 KB (527 words) - 19:59, 14 April 2025
form Euclidean honeycombs (16-cell, 8-cell, 24-cell). Banchoff 2013, studied the decomposition of regular 4-polytopes into honeycombs of tori tiling the...
141 KB (18,460 words) - 16:02, 15 July 2025
is also the vertex figure for the 5-cell honeycomb in 4-space. The maximal cross-section of the runcinated 5-cell with a 3-dimensional hyperplane is...
40 KB (1,759 words) - 21:28, 20 July 2025
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
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
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
pentagrammic-order 600-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {3,3,5,5/2}, it has five 600-cells around each face in...
3 KB (222 words) - 23:11, 12 May 2024
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
List of regular polytopes (redirect from Order-3 120-cell honeycomb)
domains in hyperbolic space (the fundamental 5-cell having some parts inaccessible beyond infinity). All honeycombs which are not shown in the set of tables...
101 KB (5,453 words) - 12:31, 18 July 2025
index 120. The order-5 cubic honeycomb has a related alternated honeycomb, ↔ , with icosahedron and tetrahedron cells. The honeycomb is also one of four...
22 KB (844 words) - 16:14, 12 July 2025
geometry, the 5-cell is the convex 4-polytope with Schläfli symbol {3,3,3}. It is a 5-vertex four-dimensional object bounded by five tetrahedral cells. It is...
37 KB (3,706 words) - 23:27, 16 July 2025
geometry, the 5-cubic honeycomb or penteractic honeycomb is the only regular space-filling tessellation (or honeycomb) in Euclidean 5-space. Four 5-cubes meet...
6 KB (470 words) - 07:09, 21 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...
3 KB (228 words) - 18:39, 26 December 2017
sequence of regular honeycombs with Infinite-order triangular tiling cells: {3,∞,p}. It is a part of a sequence of regular honeycombs with order-3 apeirogonal...
31 KB (1,578 words) - 16:48, 3 August 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...
6 KB (281 words) - 18:38, 26 December 2017
geometry of hyperbolic 5-space, the 16-cell honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is called paracompact...
2 KB (129 words) - 03:27, 18 December 2023
hyperbolic geometry, the order-5 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space. With...
16 KB (663 words) - 16:48, 3 August 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 (237 words) - 18:39, 26 December 2017
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) - 11:30, 14 July 2025
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 gaps...
19 KB (716 words) - 23:01, 17 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 (219 words) - 19:23, 6 June 2020