Cantellated 6-cubes


In six-dimensional geometry, a cantellated 6-cube is a convex uniform 6-polytope, being a cantellation of the regular 6-cube.
There are 8 cantellations for the 6-cube, including truncations. Half of them are more easily constructed from the dual 5-orthoplex.

Cantellated 6-cube

Alternate names

Bicantellated 6-cube

Alternate names

Cantitruncated 6-cube

Alternate names

It is fourth in a series of cantitruncated hypercubes:

Bicantitruncated 6-cube

Alternate names

Related polytopes

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