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. As the name suggests, it is a prism based on the small disprismatotesseractihexadecachoron, whichalso makes it a convex segmentoteron.

The small disprismatotesseractihexadecachoric prism can be vertex-inscribed into the small cellated penteractitriacontaditeron.

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