Hollow stellated icositetrachoric antiprism

The hollow stellated icositetrachoric antiprism or hosiap is a prismatic uniform polyteron that consists of 24 hexadecadistesseracts (48 paired hexadecachora) and 48 stelloctangular pyramids (96 paired pentachora). 8 hexadecachora and 10 pentachora meet at each of its vertices.

It can be created by blending six demipenteracts (as hexadecachoric antiprisms) in the icositetrachoric prism army.

Vertex coordinates
The vertices of a hollow stellated icositetrachoric antiprism of edge length 1 are given by all permutations of the first four coordinates and sign changes of:


 * $$\biggl(\pm\frac{\sqrt{2}}{4},\pm\frac{\sqrt{2}}{4},0,0,\pm\frac{\sqrt{2}}{4}\biggr)$$