Demihexeract

The demihexeract, or hax, also called the 6-demicube, hemihexeract, tetrahedral duoantiprism, or digonal trioantiprism, 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.

The demihexeract contains the vertices of a tetrahedral duoprism.

Vertex coordinates
The vertices of a demihexeract of edge length 1, centered at the origin, are given by all even sign changes of:
 * ($\sqrt{3}$/4, $\sqrt{6}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4).