Great disprismatotesseractihexadecachoric prism

The great disprismatotesseractihexadecachoric prism or gidpithip is a prismatic uniform polyteron that consists of 2 great disprismatotesseractihexadecachora, 8 great rhombicuboctahedral prisms, 16 truncated octahedral prisms, 24 square-octagonal duoprisms and 32 square-hexagonal duoprisms.

This polyteron can be alternated into a snub tesseractic antiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a pyritosnub tesseractic alterprism, which is also nonuniform.

Vertex coordinates
The vertices of a great disprismatotesseractihexadecachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of:
 * (1/2, (1+$\sqrt{2}$)/2, (1+2$\sqrt{3}$)/2, (1+3$\sqrt{2+√2}$)/2, ±1/2).