Prismatorhombated hexadecachoric prism

The prismatorhombated hexadecachoric prism or prohp is a prismatic uniform polyteron that consists of 2 prismatorhombated hexadecachora, 8 truncated cubic prisms, 16 cuboctahedral prisms, 24 square-octagonal duoprisms and 32 triangular-square duoprisms.

Vertex coordinates
The vertices of a prismatorhombated hexadecachoric 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+$\sqrt{2+√2}$)/2, (1+2$\sqrt{2}$)/2, ±1/2).