• 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
  • 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 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
  • 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 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
  • 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 (794 words) - 19:17, 10 April 2025
  • 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 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 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 Runcinated tesseracts
    the truncated cube cells project to a truncated cube in the center of the projection envelope. Six octagonal prisms connect this central truncated cube...
    29 KB (2,219 words) - 18:32, 25 March 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 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 (1,344 words) - 19:57, 24 April 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 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 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
  • 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 Truncated 5-simplexes
    4-faces (6 5-cell and 6 truncated 5-cells). Truncated hexateron (Acronym: tix) (Jonathan Bowers) The vertices of the truncated 5-simplex can be most simply...
    6 KB (389 words) - 04:10, 4 April 2023
  • 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 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
  • Thumbnail for Rectified 24-cell
    colors of cells, 8 for each. The rectified 24-cell can be derived from the 24-cell by the process of rectification: the 24-cell is truncated at the midpoints...
    7 KB (529 words) - 03:18, 24 July 2024
  • 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
  • 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
  • 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 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
  • 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 (2,520 words) - 02:19, 8 December 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 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
  • geometry, a truncated 6-cube (or truncated hexeract) is a convex uniform 6-polytope, being a truncation of the regular 6-cube. There are 5 truncations for the...
    7 KB (479 words) - 22:23, 4 May 2025
  • 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