Gyrated small prismatodecachoron

The gyrated small prismatodecachoron or tetrahedral orthobicupola is a CRF polychoron. It is formed by blending two tetrahedral cupolas at their cuboctahedral bases such that the are in the same orientation, as opposed to the small prismatodecachoron where the tetrahedra are in dual orientation.

Vertex coordinates
The vertices of a gyrated small prismatodecachoron of edge length 1 are given by:
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,±\frac{\sqrt{10}}{4}\right)$$ and all even sign changes of first three coordinates
 * $$\left(±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0,\,0\right)$$ and all permutations of first three coordinates