In geometry, the 120-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {5,3,3}. It is also called...
129 KB (14,415 words) - 16:24, 2 October 2024
runcinated 120-cell (or runcinated 600-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 120-cell. There are...
15 KB (707 words) - 03:18, 24 July 2024
geometry, a cantellated 120-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 120-cell. There are four degrees...
15 KB (758 words) - 03:18, 24 July 2024
five triangles meeting at every vertex. Its dual polytope is the 120-cell. The 600-cell is the fifth in the sequence of 6 convex regular 4-polytopes (in...
217 KB (28,932 words) - 00:34, 1 November 2024
Uniform 4-polytope (redirect from Runic snub 24-cell)
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}, 120-cell...
134 KB (4,310 words) - 09:25, 13 October 2024
In geometry, a rectified 120-cell is a uniform 4-polytope formed as the rectification of the regular 120-cell. E. L. Elte identified it in 1912 as a semiregular...
6 KB (328 words) - 03:18, 24 July 2024
120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,3}, it has three 120-cells...
2 KB (148 words) - 12:35, 29 February 2024
In geometry, the icosahedral 120-cell, polyicosahedron, faceted 600-cell or icosaplex is a regular star 4-polytope with Schläfli symbol {3,5,5/2}. It...
4 KB (284 words) - 03:37, 24 July 2024
In geometry, a truncated 120-cell is a uniform 4-polytope formed as the truncation of the regular 120-cell. There are three truncations, including a bitruncation...
12 KB (535 words) - 03:18, 24 July 2024
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
figures: the great 120-cell and grand stellated 120-cell. With itself, it can form a polytope compound: the compound of two 24-cells. The 24-cell can also be...
237 KB (31,148 words) - 18:38, 1 November 2024
one: the 600-vertex 120-cell is a compound of 120 regular 5-cells. The 5-cell is self-dual, meaning its dual polytope is 5-cell itself. Its maximal intersection...
38 KB (3,797 words) - 12:47, 24 September 2024
In geometry, the great 120-cell or great polydodecahedron is a regular star 4-polytope with Schläfli symbol {5,5/2,5}. It is one of 10 regular Schläfli-Hess...
4 KB (213 words) - 03:37, 24 July 2024
Icosahedral 120-cell Small stellated 120-cell Great 120-cell Grand 120-cell Great stellated 120-cell Grand stellated 120-cell Great grand 120-cell Great icosahedral...
47 KB (3,580 words) - 17:01, 29 June 2024
In geometry, the grand 120-cell or grand polydodecahedron is a regular star 4-polytope with Schläfli symbol {5,3,5/2}. It is one of 10 regular Schläfli-Hess...
4 KB (225 words) - 03:37, 24 July 2024
List of regular polytopes (redirect from Order-3 120-cell honeycomb)
projective 4-polytopes. The 3 special cases are hemi-24-cell, hemi-600-cell, and hemi-120-cell. Only 2 of 3 regular spherical polytopes are centrally symmetric...
99 KB (5,381 words) - 18:16, 21 October 2024
4-space, the great 120-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {5,5/2,5,3}, it has three great 120-cells around each face...
2 KB (141 words) - 21:31, 12 May 2024
stellated 120-cell, Great 120-cell, Grand 120-cell, Great stellated 120-cell, Grand stellated 120-cell, Great grand 120-cell, Great icosahedral 120-cell, Grand...
30 KB (2,685 words) - 07:39, 28 July 2024
120-cell honeycomb is one of five compact regular space-filling tessellations (or honeycombs). With Schläfli symbol {5,3,3,5}, it has five 120-cells around...
3 KB (170 words) - 12:35, 29 February 2024
In geometry, the great grand 120-cell or great grand polydodecahedron is a regular star 4-polytope with Schläfli symbol {5,5/2,3}. It is one of 10 regular...
3 KB (161 words) - 03:37, 24 July 2024
In geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,3},...
5 KB (373 words) - 03:37, 24 July 2024
In geometry, the great icosahedral 120-cell, great polyicosahedron or great faceted 600-cell is a regular star 4-polytope with Schläfli symbol {3,5/2...
3 KB (177 words) - 03:37, 24 July 2024
In geometry, the small stellated 120-cell or stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,5,3}. It is one of 10 regular...
4 KB (286 words) - 03:37, 24 July 2024
stellated 120-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {5/2,5,3,3}, it has three small stellated 120-cells around each...
2 KB (144 words) - 23:23, 12 May 2024
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...
60 KB (7,175 words) - 20:08, 20 October 2024
icosahedral 120-cell honeycomb is one of four regular star-honeycombs. With Schläfli symbol {3,5,5/2,5}, it has five icosahedral 120-cells around each...
3 KB (151 words) - 16:49, 3 August 2024
120 (one hundred [and] twenty) is the natural number following 119 and preceding 121. It is five sixths of a gross, or ten dozens. In the Germanic languages...
8 KB (971 words) - 18:32, 10 October 2024
In geometry, the grand stellated 120-cell or grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,5,5/2}. It is one...
3 KB (217 words) - 03:37, 24 July 2024
content within the same radius. The 4-simplex (5-cell) is the limit smallest case, and the 120-cell is the largest. Complexity (as measured by comparing...
16 KB (1,773 words) - 00:57, 17 October 2024