• rectified octacross rectified diacosipentacontahexazetton (Acronym: rek) (Jonathan Bowers) There are two Coxeter groups associated with the rectified...
    8 KB (486 words) - 18:52, 26 January 2024
  • Thumbnail for Rectified 5-orthoplexes
    polytope. rectified pentacross rectified triacontiditeron (32-faceted 5-polytope) There are two Coxeter groups associated with the rectified pentacross...
    5 KB (415 words) - 18:52, 26 January 2024
  • Thumbnail for Rectified 6-orthoplexes
    the 6-orthoplex. The rectified 6-orthoplex is the vertex figure for the demihexeractic honeycomb. or rectified hexacross rectified hexacontitetrapeton...
    8 KB (489 words) - 04:08, 11 April 2024
  • constructed from this honeycomb. or rectified heptacross rectified hecatonicosoctaexon (Acronym rez) (Jonathan Bowers) - rectified 128-faceted polyexon There are...
    7 KB (463 words) - 18:52, 26 January 2024
  • 9-polytopes with BC9 symmetry. The rectified 9-orthoplex is the vertex figure for the demienneractic honeycomb. or rectified enneacross (Acronym riv) (Jonathan...
    6 KB (424 words) - 18:52, 26 January 2024
  • Thumbnail for Rectified 10-orthoplexes
    ten-dimensional geometry, a rectified 10-orthoplex is a 10-polytope, being a rectification of the regular 10-orthoplex. The rectified 10-orthoplex is the vertex...
    10 KB (527 words) - 18:51, 26 January 2024
  • Thumbnail for Rectified 5-cell
    all simplexes and orthoplexes (tetrahedrons and octahedrons in the case of the rectified 5-cell). The Coxeter symbol for the rectified 5-cell is 021. Conway...
    12 KB (901 words) - 09:56, 24 September 2024
  • Thumbnail for 2 21 polytope
    facets: 72 rectified 5-simplices, and 27 rectified 5-orthoplexes and 27 5-demicubes . Its vertex figure is a rectified 5-cell prism. Rectified...
    18 KB (1,230 words) - 22:44, 16 February 2024
  • Thumbnail for 4 21 polytope
    orthoplexes. The rectified 421 can be seen as a rectification of the 421 polytope, creating new vertices on the center of edges of the 421. Rectified...
    38 KB (2,556 words) - 04:13, 24 July 2024
  • Thumbnail for Alternated hypercubic honeycomb
    orthoplex facets. The vertex figure for honeycombs of this family are rectified orthoplexes. These are also named as hδn for an (n-1)-dimensional honeycomb...
    6 KB (240 words) - 03:30, 24 July 2024
  • Thumbnail for 3 21 polytope
    3-sphere tiling, a tetrahedral hosohedron.) Rectified hecatonicosihexa-pentacosiheptacontihexa-exon as a rectified 126-576 facetted polyexon (acronym ranq)...
    18 KB (1,025 words) - 23:12, 2 October 2024
  • Thumbnail for 7-orthoplex
    a part of an infinite family of polytopes, called cross-polytopes or orthoplexes. The dual polytope is the 7-hypercube, or hepteract. Heptacross, derived...
    6 KB (545 words) - 19:32, 9 April 2024
  • Thumbnail for Gosset–Elte figures
    and all rectified (single-ring) Coxeter–Dynkin diagrams. The family of n-simplices contain Gosset–Elte figures of the form 0ij as all rectified forms of...
    21 KB (816 words) - 18:22, 2 October 2024
  • facets of these polytopes are regular polytopes, namely simplexes and orthoplexes. The 261 honeycomb is composed of 251 9-honeycomb and 9-simplex facets...
    13 KB (804 words) - 21:57, 12 December 2023
  • 4-orthoplexes Generalized 4-orthoplexes have a regular construction as and quasiregular form as . All elements are simplexes. Real {3,3,4}, or , with 8...
    154 KB (6,979 words) - 07:15, 25 September 2024
  • ) The family starts uniquely as 6-polytopes. The triangular prism and rectified 5-cell are included at the beginning for completeness. The demipenteract...
    10 KB (717 words) - 00:28, 24 September 2024
  • Thumbnail for 5-demicube
    regular polytope facets, containing all simplexes and orthoplexes (5-simplices and 5-orthoplexes in the case of the 5-demicube). In Coxeter's notation...
    9 KB (670 words) - 16:53, 9 April 2024