Cantic 6-cube

In six-dimensional geometry, a cantic 6-cube (or a truncated 6-demicube) is a uniform 6-polytope.

Alternate names

 * Truncated 6-demicube/demihexeract (Acronym thax) (Jonathan Bowers)

Cartesian coordinates
The Cartesian coordinates for the 480 vertices of a cantic 6-cube centered at the origin and edge length 6$\sqrt{2}$ are coordinate permutations:
 * (±1,±1,±3,±3,±3,±3)

with an odd number of plus signs.

Related polytopes
There are 47 uniform polytopes with D6 symmetry, 31 are shared by the B6 symmetry, and 16 are unique: