Skew compound of four triangles (chiral cubic symmetry)

The  is a regular skew compound polygon made of four triangles. An origami sculpture of this compound is called the WXYZ.

Vertex coordinates
The has the same vertices as a cuboctahedron. With unit side length vertex coordinates are given by all permutations of
 * $$\left(\pm\frac{\sqrt6}{6},\,\pm\frac{\sqrt6}{6},\,0\right).$$