Inverted hollow stellated icositetrachoric antiprism

The inverted hollow stellated icositetrachoric antiprism or ihsiap is a prismatic uniform polyteron consisting of 24 demidistesseracts (48 paired hexadecachora), 48 pentachora, and 48 rectified pentachora.

It can be created by blending three demipenteracts with three hexadecapenteracts.

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