• Thumbnail for Great icosahedral 120-cell
    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
  • Thumbnail for Icosahedral 120-cell
    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
  • Thumbnail for 120-cell
    each 120-cell vertex. For example, in the #3 chord row, 24 #3 chords converge at each of the 120-cell's 600 vertices, forming a double icosahedral vertex...
    129 KB (14,415 words) - 11:52, 28 November 2024
  • 4-polytope 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...
    47 KB (3,579 words) - 21:06, 4 December 2024
  • Thumbnail for Grand 600-cell
    arrangement as the great stellated 120-cell, and grand stellated 120-cell, and same face arrangement as the great icosahedral 120-cell. List of regular...
    5 KB (381 words) - 03:37, 24 July 2024
  • symmetry embedded in octahedral or icosahedral symmetry, 46-67: Tetrahedral symmetry embedded in octahedral or icosahedral symmetry, 68-75: enantiomorph pairs...
    25 KB (1,430 words) - 06:23, 13 December 2024
  • Thumbnail for 600-cell
    icosahedral cell in place of each removed icosahedral pyramid. The snub 24-cell thus has 24 icosahedral cells and the remaining 120 tetrahedral cells...
    217 KB (28,930 words) - 08:48, 21 December 2024
  • order-5 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...
    3 KB (151 words) - 16:49, 3 August 2024
  • Thumbnail for List of regular polytopes
    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...
    100 KB (5,426 words) - 08:37, 22 December 2024
  • Thumbnail for Great grand 120-cell
    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
  • order-5 icosahedral 120-cell honeycomb. It can be seen as a greatening of the 120-cell honeycomb, and is thus analogous to the three-dimensional great dodecahedron...
    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 (2,690 words) - 10:23, 24 November 2024
  • Thumbnail for Icosagon
    the Petrie polygon for the icosahedral 120-cell, small stellated 120-cell, great icosahedral 120-cell, and great grand 120-cell. Muriel Pritchett, University...
    11 KB (926 words) - 02:47, 20 June 2024
  • Thumbnail for Uniform 4-polytope
    120-cell {5,3,5/2}, great stellated 120-cell {5/2,3,5}, grand stellated 120-cell {5/2,5,5/2}, great grand 120-cell {5,5/2,3}, great icosahedral 120-cell...
    134 KB (4,310 words) - 09:25, 13 October 2024
  • Thumbnail for Great 120-cell
    same edge arrangement as the 600-cell, icosahedral 120-cell as well as the same face arrangement as the grand 120-cell. Due to its self-duality, it does...
    4 KB (213 words) - 03:37, 24 July 2024
  • Thumbnail for Regular icosahedron
    600-cell, a regular 4-dimensional polytope. The 600-cell has icosahedral cross sections of two sizes, and each of its 120 vertices is an icosahedral pyramid;...
    37 KB (3,858 words) - 04:30, 22 November 2024
  • Thumbnail for Grand 120-cell
    the same edge arrangement as the 600-cell, icosahedral 120-cell and the same face arrangement as the great 120-cell. It could be seen as another 4D analogue...
    4 KB (225 words) - 03:37, 24 July 2024
  • Thumbnail for 24-cell
    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...
    234 KB (30,615 words) - 02:27, 14 December 2024
  • Thumbnail for Regular 4-polytope
    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
  • Thumbnail for Great stellated 120-cell
    arrangement as the grand 600-cell, icosahedral 120-cell, and the same face arrangement as the grand stellated 120-cell. List of regular polytopes Convex...
    3 KB (224 words) - 03:37, 24 July 2024
  • related to the order-5 icosahedral 120-cell honeycomb and great 120-cell honeycomb: the icosahedral 120-cells and great 120-cells in each honeycomb are...
    3 KB (222 words) - 23:11, 12 May 2024
  • Thumbnail for Small stellated 120-cell
    Indeed, the small stellated 120-cell is dual to the icosahedral 120-cell, which could be taken as a 4D analogue of the great dodecahedron, dual of the small...
    4 KB (286 words) - 03:37, 24 July 2024
  • Thumbnail for Icosahedron
    Icosahedron (redirect from Icosahedral)
    Both have icosahedral symmetry. The term "regular icosahedron" generally refers to the convex variety, while the nonconvex form is called a great icosahedron...
    11 KB (881 words) - 10:21, 14 December 2024
  • Thumbnail for Virus
    DP (2016). "Protruding Features of Viral Capsids Are Clustered on Icosahedral Great Circles". PLOS ONE. 11 (4): e0152319. Bibcode:2016PLoSO..1152319W...
    154 KB (18,258 words) - 21:15, 10 December 2024
  • constructed as stellations of the convex form. All of these have icosahedral symmetry, order 120. Some dodecahedra have the same combinatorial structure as...
    28 KB (2,048 words) - 19:47, 8 December 2024
  • Thumbnail for Tesseract
    Tesseract (redirect from 8-cell)
    eight cubical cells, meeting at right angles. The tesseract is one of the six convex regular 4-polytopes. The tesseract is also called an 8-cell, C8, (regular)...
    25 KB (2,649 words) - 18:07, 28 November 2024
  • Thumbnail for 16-cell
    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) - 20:27, 12 November 2024
  • Thumbnail for Grand stellated 120-cell
    arrangement as the grand 600-cell, icosahedral 120-cell, and the same face arrangement as the great stellated 120-cell. Due to its self-duality, it does...
    3 KB (217 words) - 03:37, 24 July 2024
  • Thumbnail for 4-polytope
    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
  • Thumbnail for Compound of five tetrahedra
    occur as cells of another regular 4-polytope inscribed within the 120-cell, the 600-cell, which has 600 regular tetrahedra as its cells. The 120-cell is a...
    7 KB (650 words) - 12:02, 28 August 2024