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
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
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 arrangement...
9 KB (715 words) - 20:04, 14 April 2025
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
24-cell honeycomb, or snub icositetrachoric honeycomb is a uniform space-filling tessellation (or honeycomb) by snub 24-cells, 16-cells, and 5-cells....
6 KB (379 words) - 18:38, 26 December 2017
List of mathematical shapes (section Honeycombs)
Tesseractic honeycomb 24-cell honeycomb Snub 24-cell honeycomb Rectified 24-cell honeycomb Truncated 24-cell honeycomb 16-cell honeycomb 5-cell honeycomb Omnitruncated...
46 KB (3,547 words) - 00:42, 27 May 2025
the 24-cell can tesselate four-dimensional space face-to-face, forming the 24-cell honeycomb. As a polytope that can tile by translation, the 24-cell is...
234 KB (30,655 words) - 19:27, 11 May 2025
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
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
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
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
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
alternated vertices. The snub 24-cell is the largest facet of the 4-dimensional honeycomb, the snub 24-cell honeycomb. The snub 24-cell is a part of the F4 symmetry...
19 KB (1,780 words) - 03:26, 21 October 2024
hyperbolic 5-space, the 24-cell honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is called paracompact...
3 KB (150 words) - 00:07, 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 (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
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
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
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
List of regular polytopes (redirect from Order-3 120-cell honeycomb)
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) - 18:33, 2 May 2025
honeycomb, with Coxeter graph filling space with alternately tetrahedral and octahedral cells. In 4 dimensions it is called the 5-cell honeycomb, with...
10 KB (527 words) - 19:59, 14 April 2025
5-space, the order-4 24-cell honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs). It is called paracompact...
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Uniform 5-polytope (redirect from 24-cell prism)
honeycombs of Euclidean 4-space: tesseractic honeycomb, with symbols {4,3,3,4}, = . There are 19 uniform honeycombs in this family. 24-cell honeycomb...
92 KB (2,241 words) - 02:24, 28 October 2024
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
hyperbolic 4-space, the order-4 24-cell honeycomb is one of two paracompact regular space-filling tessellations (or honeycombs). It is called paracompact because...
2 KB (137 words) - 00:08, 28 January 2024
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
uniform honeycombs in 4-space: Tesseractic honeycomb Demitesseractic honeycomb 24-cell honeycomb Truncated 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb...
4 KB (433 words) - 18:52, 5 March 2025
rectified 5-cell, 021, and 24-cell, 0111. Removing a fourth end node defines 2 types of cells: octahedron, 011, and tetrahedron, 020. The 222 honeycomb, is fourth...
13 KB (775 words) - 18:27, 14 May 2024
the 24-cell. Thus the 24-cell is constructed from exactly 16 cubic pyramids. The 24-cell tessellates 4-dimensional space as the 24-cell honeycomb. The...
4 KB (353 words) - 05:00, 31 October 2024