• 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) - 18:32, 25 March 2025
  • 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 (4,315 words) - 11:59, 20 April 2025
  • 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) - 06:27, 6 March 2025
  • 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 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) - 23:01, 15 March 2025
  • Thumbnail for Schläfli symbol
    represented by { p , q , r } {\displaystyle \{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 (1,985 words) - 15:28, 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
  • 5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified...
    47 KB (3,579 words) - 21:06, 4 December 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
  • 5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • 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...
    20 KB (1,887 words) - 07:06, 4 April 2025
  • 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 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
  • 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
  • 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
  • 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) - 21:13, 9 February 2025
  • 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...
    234 KB (30,655 words) - 19:27, 11 May 2025
  • 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 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 (1,344 words) - 19:57, 24 April 2025
  • Thumbnail for Truncated cuboctahedron
    (equivalently, 180° rotational symmetry), the truncated cuboctahedron is a 9-zonohedron. The truncated cuboctahedron can tessellate with the octagonal...
    14 KB (977 words) - 06:06, 14 November 2023
  • 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 (245 words) - 00:52, 17 January 2025
  • 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 (2,873 words) - 04:12, 17 May 2025
  • 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...
    19 KB (1,608 words) - 04:20, 24 March 2025
  • Thumbnail for Truncated 5-cubes
    geometry, a truncated 5-cube is a convex uniform 5-polytope, being a truncation of the regular 5-cube. There are four unique truncations of the 5-cube...
    7 KB (450 words) - 04:21, 4 April 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...
    61 KB (6,298 words) - 17:40, 14 May 2025
  • 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...
    21 KB (1,954 words) - 08:17, 23 April 2025
  • Thumbnail for Hexagonal tiling honeycomb
    alternates two types of tetrahedra. The truncated hexagonal tiling honeycomb, t0,1{6,3,3}, has tetrahedral and truncated hexagonal tiling facets, with a triangular...
    21 KB (843 words) - 09:49, 9 January 2025
  • 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