Cantellated 7-orthoplexes


In seven-dimensional geometry, a cantellated 7-orthoplex is a convex uniform 7-polytope, being a cantellation of the regular 7-orthoplex.
There are ten degrees of cantellation for the 7-orthoplex, including truncations. Six are most simply constructible from the dual 7-cube.

Cantellated 7-orthoplex

Alternate names

Bicantellated 7-orthoplex

Alternate names

  • Small birhombated hecatonicosoctaexon

Cantitruncated 7-orthoplex

Alternate names

  • Great rhombated hecatonicosoctaexon

Bicantitruncated 7-orthoplex

Alternate names

  • Great birhombated hecatonicosoctaexon

Related polytopes

These polytopes are from a family of 127 uniform 7-polytopes with B7 symmetry.