In four-dimensional geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,4,3}...
234 KB (30,655 words) - 19:27, 11 May 2025
geometry, a runcinated 24-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 24-cell. There are 3 unique degrees...
17 KB (1,115 words) - 18:57, 25 March 2025
In four-dimensional Euclidean geometry, the 24-cell honeycomb, or icositetrachoric honeycomb is a regular space-filling tessellation (or honeycomb) of...
13 KB (1,392 words) - 23:35, 18 April 2024
rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra...
7 KB (529 words) - 03:18, 24 July 2024
predecessor the 24-cell, as the 24-cell can be deconstructed into three overlapping instances of its predecessor the tesseract (8-cell), and the 8-cell can be...
217 KB (28,920 words) - 13:47, 28 April 2025
so the 120-cell is the convex hull of 25 disjoint 24-cells. Each 24-cell is the convex hull of 3 disjoint (8-point) 16-cells, so the 120-cell is the convex...
131 KB (14,824 words) - 19:21, 6 April 2025
the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells. Five tetrahedra...
19 KB (1,780 words) - 03:26, 21 October 2024
geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell. There are two degrees...
24 KB (1,744 words) - 03:18, 24 July 2024
geometry, a cantellated 24-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 24-cell. There are 2 unique degrees...
10 KB (766 words) - 18:29, 7 June 2025
with cells overlapping. The 24-cell can be further generated using three copies of the 8-cell, where the 24-cell honeycomb is dual to the 16-cell honeycomb...
7 KB (1,017 words) - 08:18, 26 June 2025
16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb...
3 KB (225 words) - 01:55, 14 November 2023
multiple 16-cells: the 16-vertex tesseract as a compound of two 16-cells, the 24-vertex 24-cell as a compound of three 16-cells, the 120-vertex 600-cell as a...
61 KB (7,127 words) - 15:37, 20 May 2025
Uniform 4-polytope (redirect from Runic snub 24-cell)
that all cells, faces, edges, and vertices are congruent: 6 regular convex 4-polytopes: 5-cell {3,3,3}, 8-cell {4,3,3}, 16-cell {3,3,4}, 24-cell {3,4,3}...
134 KB (4,315 words) - 11:59, 20 April 2025
16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb...
6 KB (281 words) - 18:38, 26 December 2017
16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb...
3 KB (223 words) - 18:39, 26 December 2017
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
16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb...
3 KB (225 words) - 02:03, 21 December 2023
Rectified 16-cell, Truncated 16-cell Rectified 24-cell, Truncated 24-cell, Cantellated 24-cell, Runcinated 24-cell, Snub 24-cell Rectified 120-cell, Truncated...
46 KB (3,547 words) - 00:42, 27 May 2025
16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb...
3 KB (228 words) - 18:39, 26 December 2017
projections in Coxeter planes. Examples in 4 dimensions are the 24-cell, snub 24-cell, 6-6 duoprism, 6-6 duopyramid. In 6 dimensions 6-cube, 6-orthoplex...
16 KB (1,250 words) - 07:58, 20 March 2025
Rectified 16-cell, Truncated 16-cell Rectified 24-cell, Truncated 24-cell, Cantellated 24-cell, Runcinated 24-cell, Snub 24-cell Rectified 120-cell, Truncated...
30 KB (2,692 words) - 15:23, 9 February 2025
of the 24-cell: it is a solvable group of order 1152. It has minimal faithful degree μ(G) = 24, which is realized by the action on the 24-cell. The group...
8 KB (1,007 words) - 10:38, 3 July 2025
symmetry, and one chiral half symmetry, the snub 24-cell. There is one self-dual regular form, the 24-cell with 24 vertices. Each can be visualized as symmetric...
12 KB (413 words) - 03:21, 24 July 2024
16-cell honeycomb 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb...
3 KB (237 words) - 18:39, 26 December 2017
16-cell honeycomb 24-cell honeycomb Truncated 24-cell honeycomb Snub 24-cell honeycomb 5-cell honeycomb Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb...
6 KB (228 words) - 18:38, 26 December 2017
regular star 4-polytopes: the grand 120-cell, great stellated 120-cell, grand 600-cell, and great grand stellated 120-cell. He skipped the remaining six because...
27 KB (1,648 words) - 08:01, 15 October 2024
The cell is the basic structural and functional unit of all forms of life. Every cell consists of cytoplasm enclosed within a membrane; many cells contain...
59 KB (6,143 words) - 20:34, 23 May 2025
Uniform 5-polytope (redirect from 24-cell prism)
Snub 24-cell honeycomb, with symbols s{3,4,3,3}, and constructed by four snub 24-cell, one 16-cell, and five 5-cells at each vertex. 16-cell honeycomb...
92 KB (2,241 words) - 02:24, 28 October 2024
In the geometry of hyperbolic 5-space, the 24-cell honeycomb honeycomb is one of five paracompact regular space-filling tessellations (or honeycombs)...
3 KB (150 words) - 00:07, 21 December 2023