Cantic 6-cube
In six-dimensional geometry, a cantic 6-cube is a uniform 6-polytope.The Cartesian coordinates for the 480 vertices of a cantic 6-cube centered at the origin and edge length 6 are coordinate permutations:
with an odd number of plus signs.Images
There are 47 uniform polytopes with D6 symmetry, 31 are shared by the B6 symmetry, and 16 are unique: