Small disprismatotesseractihexadecachoric prism

The small disprismatotesseractihexadecachoric prism or sidpithip is a prismatic uniform polyteron. It consists of 2 small disprismatotesseractihexadecachora, 32 tesseracts of two kinds, 16 tetrahedral prisms and 32 triangular-square duoprisms. 1 small disprismatotesseractihexadecachoron, 1 tetrahedral prism, 3 triangular-square duoprisms, and 4 tesseracts meet at each vertex.

Vertex coordinates
The vertices of a small disprismatotesseractihexadecachoric prism of edge length 1 are given by all permutations of the first four coordinates of:
 * $$\left(±\frac12,\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2},\,±\frac12\right).$$