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
- Cantellated hexeract
- Small rhombated hexeract
Images
Bicantellated 6-cube
Alternate names
- Bicantellated hexeract
- Small birhombated hexeract
Images
Cantitruncated 6-cube
Alternate names
- Cantitruncated hexeract
- Great rhombihexeract
Images
It is fourth in a series of cantitruncated hypercubes:Bicantitruncated 6-cube
Alternate names
- Bicantitruncated hexeract
- Great birhombihexeract
Images
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.