• Thumbnail for Cantellated tesseract
    geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract. There are four...
    14 KB (1,339 words) - 21:55, 12 December 2023
  • octahedra, and 16 truncated tetrahedra. It has half the vertices of a cantellated tesseract with construction . It is related to, but not to be confused with...
    17 KB (1,289 words) - 19:39, 13 June 2024
  • Thumbnail for Rectified tesseract
    runcinated tesseract, with its construction, called a runcic tesseract. It has two uniform constructions, as a rectified 8-cell r{4,3,3} and a cantellated demitesseract...
    5 KB (424 words) - 09:06, 2 March 2020
  • Thumbnail for Runcinated tesseracts
    constructed by contracting the small rhombicuboctahedral cells of the cantellated tesseract radially, and filling in the spaces between them with cubes. In...
    29 KB (2,219 words) - 04:16, 27 February 2024
  • Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified 16-cell...
    47 KB (3,577 words) - 21:10, 27 May 2024
  • Thumbnail for Uniform 4-polytope
    that is a finite set – the cubic prism is excluded as it duplicates the tesseract), but not the infinite categories of duoprisms or prisms of antiprisms...
    134 KB (4,310 words) - 13:51, 4 April 2024
  • Thumbnail for Triangular prism
    Cantellated 5-cell Cantitruncated 5-cell Runcinated 5-cell Runcitruncated 5-cell Cantellated tesseract Cantitruncated tesseract Runcinated tesseract Runcitruncated...
    18 KB (1,515 words) - 10:24, 3 May 2024
  • Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated tesseract Rectified 16-cell...
    29 KB (2,667 words) - 01:10, 4 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) - 05:54, 26 June 2024
  • Thumbnail for Uniform polytope
    solids (excluding the cube-prism, which has already been counted as the tesseract), and two infinite sets: the prisms on the convex antiprisms, and the...
    53 KB (2,947 words) - 14:31, 6 November 2023
  • 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) - 15:19, 5 November 2022
  • Thumbnail for Hexagonal tiling honeycomb
    hexagonal tiling cells, with a digonal disphenoid vertex figure. The cantellated hexagonal tiling honeycomb, t0,2{6,3,3}, has octahedron, rhombitrihexagonal...
    21 KB (843 words) - 18:07, 31 December 2023
  • Thumbnail for Rectified 24-cell
    Rectified 24-cell, Cantellated 16-cell (Norman Johnson) Rectified icositetrachoron (Acronym rico) (George Olshevsky, Jonathan Bowers) Cantellated hexadecachoron...
    7 KB (529 words) - 21:58, 12 December 2023
  • Thumbnail for Cubic honeycomb
    are located at the fcc positions of the lattice. The cantellated cubic honeycomb or cantellated cubic cellulation is a uniform space-filling tessellation...
    66 KB (3,191 words) - 14:11, 7 October 2023
  • for his work on interferons Saara Cantell, Finnish film director Cantellated tesseract This disambiguation page lists articles associated with the title...
    513 bytes (92 words) - 05:00, 20 September 2018
  • Thumbnail for 24-cell
    vertex figure is a cube. The 24-cell is self-dual. The 24-cell and the tesseract are the only convex regular 4-polytopes in which the edge length equals...
    237 KB (31,111 words) - 17:51, 18 June 2024
  • Thumbnail for Cantellated 5-simplexes
    triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron Small rhombated hexateron...
    10 KB (455 words) - 04:19, 4 April 2023
  • Thumbnail for Runcinated 24-cells
    second set of coordinates coincide with the vertices of an inscribed cantellated tesseract. The regular skew polyhedron, {4,8|3}, exists in 4-space with 8...
    17 KB (1,115 words) - 15:49, 7 October 2022
  • constructed by a cantellation of a tesseractic honeycomb creating cantellated tesseracts, and new 24-cell and octahedral prism facets at the original vertices...
    3 KB (290 words) - 19:55, 19 January 2024
  • Thumbnail for Cuboctahedron
    process known as cantellation, making the cuboctahedron being named cantellated tetrahedron. From all of these constructions, the cuboctahedron has 14...
    19 KB (1,925 words) - 13:28, 17 June 2024
  • 24-cell honeycomb, containing rectified tesseract, cantellated 24-cell, and tetrahedral prism cells. Cantellated icositetrachoric tetracomb/honeycomb Small...
    3 KB (225 words) - 01:55, 14 November 2023
  • Thumbnail for Runcic 7-cubes
    sirhesa) (Jonathan Bowers) The Cartesian coordinates for the vertices of a cantellated demihepteract centered at the origin are coordinate permutations: (±1...
    5 KB (335 words) - 04:48, 26 December 2017
  • Thumbnail for Cantellated 24-cells
    with truncations. The cantellated 24-cell or small rhombated icositetrachoron is a uniform 4-polytope. The boundary of the cantellated 24-cell is composed...
    10 KB (781 words) - 21:57, 12 December 2023
  • Thumbnail for Truncated 24-cells
    Name tesseract rectified tesseract truncated tesseract cantellated tesseract runcinated tesseract bitruncated tesseract cantitruncated tesseract runcitruncated...
    24 KB (1,744 words) - 03:54, 4 April 2023
  • Thumbnail for Cantellated 6-cubes
    In six-dimensional geometry, a cantellated 6-cube is a convex uniform 6-polytope, being a cantellation of the regular 6-cube. There are 8 cantellations...
    7 KB (268 words) - 13:05, 6 May 2023
  • containing tesseract and rectified 24-cell cells. Rectified icositetrachoric tetracomb Rectified icositetrachoric honeycomb Cantellated 16-cell honeycomb...
    6 KB (228 words) - 18:38, 26 December 2017
  • Thumbnail for Cantellated 120-cell
    meeting at each vertex. Cantellated 120-cell Norman Johnson Cantellated hecatonicosachoron / Cantellated dodecacontachoron / Cantellated polydodecahedron Small...
    15 KB (758 words) - 06:39, 13 November 2023
  • Thumbnail for Cantellated 6-simplexes
    In six-dimensional geometry, a cantellated 6-simplex is a convex uniform 6-polytope, being a cantellation of the regular 6-simplex. There are unique 4...
    8 KB (367 words) - 11:20, 7 May 2024
  • Thumbnail for Order-5 cubic honeycomb
    honeycomb is the same as the bitruncated order-4 dodecahedral honeycomb. The cantellated order-5 cubic honeycomb, , has rhombicuboctahedron, icosidodecahedron...
    22 KB (844 words) - 01:02, 23 February 2024
  • Thumbnail for Cantellated 5-cell
    octahedron; the vertex figure is a nonuniform triangular prism. Cantellated pentachoron Cantellated 4-simplex (small) prismatodispentachoron Rectified dispentachoron...
    20 KB (645 words) - 18:38, 11 May 2023