Hexeract

The hexeract, or ax, also called the 6-cube or dodecapeton, is one of the 3 regular polypeta. It has 12 penteracts as facets, joining 6 to a vertex. It is the 6-dimensional hypercube.

It can be alternated into a demihexeract, which is uniform.

Vertex coordinates
The vertices of a hexeract of edge length 1, centered at the origin, are given by:
 * (±1/2, ±1/2, ±1/2, ±1/2, ±1/2, ±1/2).