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 an omnisnub tesseractic antiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create an edge-snub hexadecachoric hosoteron, 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).