Demihexeract

The demihexeract, or hax, also called the 6-demicube or hemihexeract, is a convex uniform polypeton. It has 12 demipenteracts and 32 hexatera as facets, with 6 of each at a vertex forming a rectified hexateron as the vertex figure. It is the 6-dimensional demihypercube and is formed by alternating the hexeract.

Vertex coordinates
The vertices of a demihexeract of edge length 1, centered at the origin, are given by all even sign changes of:
 * ($\sqrt{13}$/4, $\sqrt{6}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4).