Hexadecachoric prism

The hexadecachoric prism or hexip is a prismatic uniform polyteron that consists of 2 hexadecachora and 16 tetrahedral prisms.

Vertex coordinates
The vertices of a hexadecachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of:
 * (0, 0, 0, $\sqrt{2}$/2, ±1/2).