• Thumbnail for Runcinated 6-simplexes
    six-dimensional geometry, a runcinated 6-simplex is a convex uniform 6-polytope constructed as a runcination (3rd order truncations) of the regular 6-simplex. There...
    12 KB (529 words) - 00:37, 29 June 2024
  • Thumbnail for Runcinated 7-simplexes
    In seven-dimensional geometry, a runcinated 7-simplex is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-simplex...
    14 KB (511 words) - 22:41, 27 April 2018
  • Thumbnail for Runcinated 5-simplexes
    and cantellations. Runcinated hexateron Small prismated hexateron (Acronym: spix) (Jonathan Bowers) The vertices of the runcinated 5-simplex can be most...
    9 KB (409 words) - 04:20, 4 April 2023
  • Runcinated enneazetton Small prismated enneazetton (Acronym: spene) (Jonathan Bowers) The Cartesian coordinates of the vertices of the runcinated 8-simplex...
    9 KB (353 words) - 04:44, 4 April 2023
  • Thumbnail for Triangular prism
    series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (equilateral triangles and squares in the case of the...
    18 KB (1,515 words) - 10:24, 3 May 2024
  • Thumbnail for Stericated 5-simplexes
    hyperplane is a runcinated 5-cell. This cross-section divides the stericated hexateron into two pentachoral hypercupolas consisting of 6 5-cells, 15 tetrahedral...
    19 KB (1,044 words) - 04:14, 4 April 2023
  • Thumbnail for Stericated 8-simplexes
    Asia Ivic Weiss, Wiley-Interscience Publication, 1995, ISBN 978-0-471-01003-6 [1] (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math...
    11 KB (257 words) - 21:41, 13 September 2024
  • Thumbnail for Rectified 5-cell
    series in 1900 as containing all regular polytope facets, containing all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified...
    12 KB (901 words) - 09:56, 24 September 2024
  • Thumbnail for 120-cell
    unless it is all 5 vertices. It is impossible to rotate two concentric 4-simplexes with respect to each other such that some, but not all, of their vertices...
    129 KB (14,415 words) - 16:24, 2 October 2024
  • Thumbnail for Truncated 5-cell
    polyhedron, {4,6|3}, is similarly related to the square faces of the runcinated 5-cell. The disphenoidal 30-cell is the dual of the bitruncated 5-cell...
    21 KB (1,295 words) - 11:22, 2 October 2024