Octadiminished demihexeract

The octadiminished demihexeract or odhax, also known as the tridiminished rectified hexateric alterprism or square dihedral triorthowedge alterprism, is a convex scaliform polypeton, with 8 hexatera, 8 tridiminished rectified hexatera, and 12 tetradiminished demipenteracts as facets.

It is also the convex hull of two inversely oriented tetradiminished tetrahedral duoprisms.

Vertex coordinates
The vertices of an octadiminished demihexeract of edge length 1, centered at the origin, are given by:
 * $$\biggl(\pm\frac{1}{2},0,0,\pm\frac{1}{2},\pm\frac{1}{2},0\biggr)$$
 * $$\biggl(0,\pm\frac{1}{2},0,\pm\frac{1}{2},0,\pm\frac{1}{2}\biggr)$$
 * $$\biggl(0,0,\pm\frac{1}{2},0,\pm\frac{1}{2},\pm\frac{1}{2}\biggr)$$.