• 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
  • 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 (4,310 words) - 09:25, 13 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 24-cell
    octahedral cells. This process also rectifies the tetrahedral cells of the 16-cell which become 16 octahedra, giving the 24-cell 24 octahedral cells. In this...
    237 KB (31,146 words) - 18:37, 4 November 2024
  • 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) - 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) - 10:01, 24 September 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) - 04:52, 15 November 2024
  • 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 (1,295 words) - 11:22, 2 October 2024
  • 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
  • 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 (2,685 words) - 07:39, 28 July 2024
  • 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 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 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) - 03:18, 24 July 2024
  • 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) - 12:19, 3 September 2024
  • Rectified 600-cell, Truncated 600-cell, Cantellated 600-cell Prismatic uniform polychoron Grand antiprism Duoprism Tetrahedral prism, Truncated tetrahedral prism...
    47 KB (3,580 words) - 17:01, 29 June 2024
  • 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) - 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 (781 words) - 03:18, 24 July 2024
  • 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 (2,511 words) - 05:58, 9 June 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
  • 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 (1,758 words) - 03:18, 24 July 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 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) - 00:27, 24 September 2024
  • Thumbnail for Truncated octahedron
    The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...
    19 KB (1,693 words) - 16:13, 12 November 2024
  • Thumbnail for Cubic honeycomb
    dual is composed of elongated square bipyramids. Dual cell The truncated cubic honeycomb or truncated cubic cellulation is a uniform space-filling tessellation...
    66 KB (3,191 words) - 03:59, 10 November 2024
  • 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) - 03:18, 24 July 2024
  • 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 Cantellated tesseract
    uniform 4-dimensional polytope) that is bounded by 56 cells: 8 truncated cuboctahedra, 16 truncated tetrahedra, and 32 triangular prisms. The cantitruncated...
    14 KB (1,339 words) - 03:21, 24 July 2024
  • Thumbnail for 16-cell honeycomb
    (and D4 lattice) is 24 and its Voronoi tessellation is a 24-cell honeycomb, , containing all rectified 16-cells (24-cell) Voronoi cells, or . There are three...
    9 KB (714 words) - 03:46, 24 July 2024