Small disprismatotesseractihexadecachoric prism

The small disprismatotesseractihexadecachoric prism or sidpithip is a prismatic uniform polyteron that consists of 2 small disprismatotesseractihexadecachora, two kinds of 32 tesseracts, 16 tetrahedral prisms and 32 triangular-square duoprisms.

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