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Pentellated 7 orthoplexes

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Pentellated 7-orthoplexes

In seven-dimensional geometry, a pentellated 7-orthoplex is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-orthoplex.

Contents

There are 32 unique pentellations of the 7-orthoplex with permutations of truncations, cantellations, runcinations, and sterications. 16 are more simply constructed relative to the 7-cube.

These polytopes are a part of a set of 127 uniform 7-polytopes with B7 symmetry.

Alternate names

  • Small terated hecatonicosoctaexon (acronym: Staz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,1,1,1,1,2)√2

    Alternate names

  • Teritruncated hecatonicosoctaexon (acronym: Tetaz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,1,1,1,2,3).

    Alternate names

  • Terirhombated hecatonicosoctaexon (acronym: Teroz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,1,1,2,2,3)√2.

    Alternate names

  • Terigreatorhombated hecatonicosoctaexon (acronym: Tograz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,1,1,2,3,4)√2.

    Alternate names

  • Teriprismated hecatonicosoctaexon (acronym: Topaz) (Jonathan Bowers)

    • Coordinates

    The coordinates are permutations of (0,1,1,2,2,2,3)√2.

    Alternate names

  • Teriprismatotruncated hecatonicosoctaexon (acronym: Toptaz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,1,2,2,3,4)√2.

    Alternate names

  • Teriprismatorhombated hecatonicosoctaexon (acronym: Toparz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,1,2,3,3,4)√2.

    Alternate names

  • Terigreatoprismated hecatonicosoctaexon (acronym: Tegopaz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,1,2,3,4,5)√2.

    Alternate names

  • Tericellated hecatonicosoctaexon (acronym: Tocaz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,2,2,2,2,3)√2.

    Alternate names

  • Tericellitruncated hecatonicosoctaexon (acronym: Tacotaz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,2,2,2,3,4)√2.

    Alternate names

  • Tericellirhombated hecatonicosoctaexon (acronym: Tocarz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,2,2,3,3,4)√2.

    Alternate names

  • Tericelligreatorhombated hecatonicosoctaexon (acronym: Tecagraz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,2,2,3,4,5)√2.

    Alternate names

  • Bipenticantitruncated 7-orthoplex as t1,2,3,6{35,4}
  • Tericelliprismated hecatonicosoctaexon (acronym: Tecpaz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,2,3,3,3,4)√2.

    Alternate names

  • Tericelliprismatotruncated hecatonicosoctaexon (acronym: Tecpotaz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,2,3,3,4,5)√2.

    Alternate names

  • Bipentiruncicantitruncated 7-orthoplex as t1,2,3,4,6{35,4}
  • Tericelliprismatorhombated hecatonicosoctaexon (acronym: Tacparez) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,2,3,4,4,5)√2.

    Alternate names

  • Great terated hecatonicosoctaexon (acronym: Gotaz) (Jonathan Bowers)

    • Coordinates

    Coordinates are permutations of (0,1,2,3,4,5,6)√2.

    References

    Pentellated 7-orthoplexes Wikipedia
    (Text) CC BY-SA