Spinohollow stellated icositetrachoric hemiantiprism

The spinohollow stellated icositetrachoric hemiantiprism or nahsihap is a prismatic uniform polyteron consisting of 48 tesseractihemioctachora, 48 pentachora, and 48 rectified pentachora; 8 tesseractihemioctachora, 5 pentachora, and 10 rectified pentachora meet at each vertex.

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