Retrohollow stellated icositetrachoric antiprism

The retrohollow stellated icositetrachoric antiprism or rahsiap is a prismatic uniform polyteron consisting of 48 pentachora, 48 faceted rectified pentachora, and 48 central tetrahedral prisms; 5 pentachora, 10 faceted rectified pentachora, and 8 tetrahedral prisms meet at each vertex.

Vertex coordinates
The vertices of a retrohollow stellated icositetrachoric antiprism of edge length 1 are given by all permutations of the first four coordinates of:
 * $$\biggl(\pm\frac{1}{2},\pm\frac{1}{2},0,0,\pm\frac{\sqrt{2}}{4}\biggr)$$