• Thumbnail for Truncated 24-cells
    regular 24-cell. There are two degrees of truncations, including a bitruncation. The truncated 24-cell or truncated icositetrachoron is a uniform 4-dimensional...
    24 KB (1,744 words) - 03:18, 24 July 2024
  • Thumbnail for Runcinated 24-cells
    octahedral cells correspond with the cells of a 24-cell and its dual. E. L. Elte identified it in 1912 as a semiregular polytope. Runcinated 24-cell (Norman...
    17 KB (1,115 words) - 18:57, 25 March 2025
  • represented by different arrangements of colored truncated 24-cell facets. In all cases, four truncated 24-cells, and one tesseract meet at each vertex, but...
    6 KB (281 words) - 18:38, 26 December 2017
  • which creates the truncated 16-cell. The truncated tesseract is bounded by 24 cells: 8 truncated cubes, and 16 tetrahedra. Truncated tesseract (Norman...
    17 KB (1,289 words) - 03:18, 24 July 2024
  • Thumbnail for Truncated 120-cells
    bitruncated 120-cell or hexacosihecatonicosachoron is a uniform 4-polytope. It has 720 cells: 120 truncated icosahedra, and 600 truncated tetrahedra. Its...
    12 KB (535 words) - 03:18, 24 July 2024
  • 5-cell honeycomb or pentachoric-dispentachoric honeycomb is a space-filling tessellation honeycomb. It is composed of 5-cells and rectified 5-cells facets...
    18 KB (1,090 words) - 20:07, 14 April 2025
  • Thumbnail for Uniform 4-polytope
    of the cantitruncated 16-cell or truncated 24-cell, with the half symmetry group [(3,3)+,4]. The truncated octahedral cells become icosahedra. The cubes...
    134 KB (4,315 words) - 11:59, 20 April 2025
  • Thumbnail for 24-cell
    The 24-cell is not only the 24-octahedral-cell, it is also the 24-cubical-cell, although the cubes are cells of the three 8-cells, not cells of the 24-cell...
    234 KB (30,655 words) - 19:27, 11 May 2025
  • 16-cell prism, Truncated 16-cell prism, Runcitruncated 16-cell prism 24-cell prism, rectified 24-cell prism, truncated 24-cell prism, cantellated 24-cell...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • Thumbnail for Runcinated 120-cells
    is a convex uniform 4-polytope, composed of 2640 cells: 120 truncated icosidodecahedra, 600 truncated octahedra, 720 decagonal prisms, and 1200 hexagonal...
    15 KB (707 words) - 07:27, 3 May 2025
  • Thumbnail for Truncated 5-cell
    degrees of truncations, including a bitruncation. The truncated 5-cell, truncated pentachoron or truncated 4-simplex is bounded by 10 cells: 5 tetrahedra...
    21 KB (1,345 words) - 18:24, 9 June 2025
  • Thumbnail for Alternation (geometry)
    4-polytope An alternated truncated 24-cell is the snub 24-cell. 4-honeycombs: An alternated truncated 24-cell honeycomb is the snub 24-cell honeycomb. A hypercube...
    8 KB (735 words) - 11:05, 21 February 2025
  • Thumbnail for Snub 24-cell
    vertices are deleted, the 24 truncated octahedron cells become 24 icosahedron cells, the 24 cubes become 24 tetrahedron cells, and the 96 deleted vertex...
    19 KB (1,780 words) - 03:26, 21 October 2024
  • Thumbnail for Cantellated 24-cells
    cuboctahedra corresponding with the cells of a 24-cell, 24 truncated cubes corresponding with the cells of the dual 24-cell, and 96 triangular prisms corresponding...
    10 KB (766 words) - 18:29, 7 June 2025
  • Thumbnail for List of F4 polytopes
    Schlegel diagram projections, centered on the cell at pos. 3, with a consistent orientation, and the 5 cells at position 0 are shown solid. Vertex coordinates...
    12 KB (413 words) - 03:21, 24 July 2024
  • Thumbnail for Runcinated tesseracts
    omnitruncated 16-cell, or great disprismatotesseractihexadecachoron is bounded by 80 cells: 8 truncated cuboctahedra, 16 truncated octahedra, 24 octagonal prisms...
    29 KB (2,218 words) - 19:28, 9 June 2025
  • Rectified 600-cell, Truncated 600-cell, Cantellated 600-cell Prismatic uniform polychoron Grand antiprism Duoprism Tetrahedral prism, Truncated tetrahedral prism...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • Thumbnail for Uniform 5-polytope
    24-cell honeycomb, with symbols {3,4,3,3}, . There are 31 reflective uniform honeycombs in this family, and one alternated form. Truncated 24-cell honeycomb...
    92 KB (2,241 words) - 02:24, 28 October 2024
  • 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
  • and a truncated octahedron forms the truncated cuboctahedron, while the Minkowski sum of the cube and the rhombic dodecahedron forms the truncated rhombic...
    25 KB (2,522 words) - 21:06, 25 June 2025
  • Thumbnail for 24-cell honeycomb
    in 4-space: Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb Truncated 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb The...
    13 KB (1,392 words) - 23:35, 18 April 2024
  • Thumbnail for Truncated cube
    the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and 24 vertices...
    9 KB (738 words) - 06:27, 6 March 2025
  • Thumbnail for Cantellated 120-cell
    cantitruncated 600-cell is a uniform 4-polytope. It is composed of 1440 cells: 120 truncated icosahedra, 720 pentagonal prisms and 600 truncated octahedra. It...
    15 KB (758 words) - 02:15, 24 December 2024
  • Thumbnail for Simple polytope
    the truncated tetrahedron, truncated cube, truncated octahedron, truncated cuboctahedron, truncated dodecahedron, truncated icosahedron, and truncated icosidodecahedron...
    4 KB (380 words) - 02:00, 20 July 2024
  • Thumbnail for Cubic honeycomb
    cuboctahedrille, and its dual an oblate octahedrille. The truncated cubic honeycomb or truncated cubic cellulation is a uniform space-filling tessellation...
    16 KB (1,756 words) - 12:28, 2 April 2025
  • Euclidean 4-space. It is constructed by 24-cell and truncated 16-cell facets. Truncated hexadecachoric tetracomb / Truncated hexadecachoric honeycomb The [3,4...
    3 KB (387 words) - 18:38, 26 December 2017
  • Thumbnail for Bitruncation
    r} will have its {p, q} cells bitruncated into truncated {q, p} cells, and the vertices are replaced by truncated {q, r} cells. An interesting result of...
    4 KB (276 words) - 01:40, 2 June 2024
  • Thumbnail for Wigner–Seitz cell
    points. As in the case of all primitive cells, all area or space within the lattice can be filled by Wigner–Seitz cells and there will be no gaps. Nearby lattice...
    16 KB (1,495 words) - 15:19, 17 December 2024
  • Thumbnail for Runcinated 5-cell
    bitruncated 5-cell. The runcitruncated 5-cell or prismatorhombated pentachoron is composed of 60 vertices, 150 edges, 120 faces, and 30 cells. The cells are: 5...
    40 KB (1,759 words) - 19:20, 9 June 2025
  • Thumbnail for Uniform polytope
    Faces are truncated, doubling their edges. (The term, coined by Kepler, comes from Latin truncare 'to cut off'.) There are higher truncations also: bitruncation...
    53 KB (2,930 words) - 15:27, 14 May 2025