• creates the truncated 16-cell. The truncated tesseract is bounded by 24 cells: 8 truncated cubes, and 16 tetrahedra. Truncated tesseract (Norman W. Johnson)...
    17 KB (1,289 words) - 03:18, 24 July 2024
  • Thumbnail for Runcinated tesseracts
    runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract. There...
    29 KB (2,219 words) - 03:18, 24 July 2024
  • Thumbnail for Cantellated tesseract
    the truncated tetrahedra. The truncated tetrahedra correspond with the tesseract's vertices, and the triangular prisms correspond with the tesseract's edges...
    14 KB (1,339 words) - 03:21, 24 July 2024
  • Thumbnail for Uniform 4-polytope
    alternation of the cantitruncated 16-cell or truncated 24-cell, with the half symmetry group [(3,3)+,4]. The truncated octahedral cells become icosahedra. The...
    134 KB (4,310 words) - 09:25, 13 October 2024
  • Thumbnail for Octagon
    also be constructed as a quasiregular truncated square, t{4}, which alternates two types of edges. A truncated octagon, t{8} is a hexadecagon, {16}. A...
    18 KB (2,159 words) - 21:11, 14 November 2024
  • Thumbnail for Truncated cube
    In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...
    9 KB (738 words) - 04:52, 15 November 2024
  • 5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified...
    47 KB (3,580 words) - 17:01, 29 June 2024
  • Thumbnail for Schläfli symbol
    polyhedral cells around each edge is represented by {p,q,r}. For example, a tesseract, {4,3,3}, has 3 cubes, {4,3}, around an edge. In general, a regular polytope...
    38 KB (1,927 words) - 18:57, 9 August 2024
  • 5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified...
    30 KB (2,685 words) - 07:39, 28 July 2024
  • Thumbnail for Rectified tesseract
    polytope, labeling it as tC8. The rectified tesseract may be constructed from the tesseract by truncating its vertices at the midpoints of its edges....
    5 KB (424 words) - 03:18, 24 July 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 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 Simple polytope
    regular 120-cell and tesseract. Simple uniform 4-polytope include the truncated 5-cell, truncated tesseract, truncated 24-cell, truncated 120-cell, and duoprisms...
    4 KB (380 words) - 02:00, 20 July 2024
  • Thumbnail for Hexagon
    Hexagon (redirect from Truncated triangle)
    the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...
    31 KB (2,798 words) - 17:28, 18 November 2024
  • a bitruncation of the regular 24-cell honeycomb, constructed by truncated tesseract and bitruncated 24-cell cells. Bitruncated icositetrachoric tetracomb/honeycomb...
    3 KB (223 words) - 18:39, 26 December 2017
  • 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
  • seven-dimensional geometry, a truncated 7-cube is a convex uniform 7-polytope, being a truncation of the regular 7-cube. There are 6 truncations for the 7-cube. Vertices...
    7 KB (358 words) - 19:40, 9 April 2024
  • different arrangements of colored truncated 24-cell facets. In all cases, four truncated 24-cells, and one tesseract meet at each vertex, but the vertex...
    6 KB (281 words) - 18:38, 26 December 2017
  • Thumbnail for 24-cell
    centers of the tesseracts' square faces, and are also the centers of the 16-cells' edges. The 24-cell's cubical vertex figure has been truncated to an octahedral...
    237 KB (31,146 words) - 18:37, 4 November 2024
  • constructed by a truncation of a tesseractic honeycomb creating truncated tesseracts, and adding new 16-cell facets at the original vertices. The [4,3...
    3 KB (244 words) - 14:46, 17 March 2023
  • geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube. There are unique 7 degrees of truncation for the 8-cube...
    8 KB (408 words) - 04:47, 4 April 2023
  • Thumbnail for Prism (geometry)
    the geometrical truncation of an n-gonal hosohedron, as well as through the cantellation or expansion of an n-gonal dihedron. A truncated prism is formed...
    20 KB (1,852 words) - 11:38, 9 November 2024
  • parabidiminished rectified tesseract, truncated tetrahedral alterprism, or truncated tetrahedral cupoliprism, s3{2,4,3}, . It is made from 2 truncated tetrahedra, 6...
    5 KB (230 words) - 03:21, 24 July 2024
  • Thumbnail for Triangular prism
    prisms along one of its square faces. A truncated triangular prism is a triangular prism constructed by truncating its part at an oblique angle. As a result...
    18 KB (1,515 words) - 10:24, 3 May 2024
  • Cantitruncated 24-cell honeycomb (category Truncated tilings)
    as a cantitruncation of the regular 24-cell honeycomb, containing truncated tesseract, cantitruncated 24-cell, and tetrahedral prism cells. Cantellated...
    3 KB (225 words) - 02:03, 21 December 2023
  • Thumbnail for Cube
    cube's vertices can be truncated, and the resulting polyhedron is the Archimedean solid, the truncated cube. When its edges are truncated, it is a rhombicuboctahedron...
    38 KB (4,054 words) - 03:37, 5 November 2024
  • Thumbnail for B4 polytope
    uniform 4-polytopes with B4 symmetry. There are two regular forms, the tesseract and 16-cell, with 16 and 8 vertices respectively. They can be visualized...
    13 KB (410 words) - 03:21, 24 July 2024
  • Thumbnail for Order-5 cubic honeycomb
    hyperbolic truncated order-5 square tiling, t{4,5}, with truncated square and pentagonal faces: It is similar to the Euclidean (order-4) truncated cubic honeycomb...
    22 KB (844 words) - 16:48, 3 August 2024
  • Thumbnail for Truncated 5-cell
    There are two degrees of truncations, including a bitruncation. The truncated 5-cell, truncated pentachoron or truncated 4-simplex is bounded by 10...
    21 KB (1,295 words) - 11:22, 2 October 2024
  • Thumbnail for Stella (software)
    Screenshot from Stella4D, looking at the truncated tesseract in perspective and its net, truncated cube cells hidden....
    4 KB (415 words) - 09:55, 15 March 2024