Pentellated 6-orthoplexes

In six-dimensional geometry, a pentellated 6-orthoplex is a convex uniform 6-polytope with 5th order truncations of the regular 6-orthoplex.

There are unique 16 degrees of pentellations of the 6-orthoplex with permutations of truncations, cantellations, runcinations, and sterications. Ten are shown, with the other 6 more easily constructed as a pentellated 6-cube. The simple pentellated 6-orthoplex (Same as pentellated 5-cube) is also called an expanded 6-orthoplex, constructed by an expansion operation applied to the regular 6-orthoplex. The highest form, the pentisteriruncicantitruncated 6-orthoplex, is called an omnitruncated 6-orthoplex with all of the nodes ringed.

Alternate names

 * Teritruncated hexacontatetrapeton (Acronym: tacox) (Jonathan Bowers)

Alternate names

 * Terirhombated hexacontitetrapeton (Acronym: tapox) (Jonathan Bowers)

Alternate names

 * Terigreatorhombated hexacontitetrapeton (Acronym: togrig) (Jonathan Bowers)

Alternate names

 * Teriprismatotruncated hexacontitetrapeton (Acronym: tocrax) (Jonathan Bowers)

Alternate names

 * Terigreatoprismated hexacontitetrapeton (Acronym: tagpog) (Jonathan Bowers)

Alternate names

 * Tericelligreatorhombated hexacontitetrapeton (Acronym: tecagorg) (Jonathan Bowers)

Related polytopes
These polytopes are from a set of 63 uniform 6-polytopes generated from the B6 Coxeter plane, including the regular 6-cube or 6-orthoplex.