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Pentellated 7 cubes

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Pentellated 7-cubes

In seven-dimensional geometry, a pentellated 7-cube is a convex uniform 7-polytope with 5th order truncations (pentellation) of the regular 7-cube. There are 32 unique pentellations of the 7-cube with permutations of truncations, cantellations, runcinations, and sterications. 16 are more simply constructed relative to the 7-orthoplex.

Contents

Alternate names

  • Small terated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Teritruncated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Terirhombated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Terigreatorhombated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Teriprismated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Teriprismatotruncated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Teriprismatorhombated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Terigreatoprismated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Tericellated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Tericellitruncated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Tericellirhombated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

  • Tericelligreatorhombated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

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

    • Alternate names

  • Tericelliprismatotruncated hepteract (acronym: ) (Jonathan Bowers)

    • Alternate names

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

    • Alternate names

  • Great terated hepteract (acronym: ) (Jonathan Bowers)

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

    References

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