Prismatorhombated icositetrachoric prism

The prismatorhombated icositetrachoric prism or pricope is a prismatic uniform polyteron that consists of 2 prismatorhombated icositetrachora, 24 small rhombicuboctahedral prisms, 24 truncated octahedral prisms, 96 square-hexagonal duoprisms and 96 triangular-square duoprisms.

This polyteron can be subsymmetrically faceted into a prismatorhombisnub icositetrachoric alterprism, although it cannot be made scaliform.

Vertex coordinates
The vertices of a prismatorhombated icositetrachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of:
 * (0, (1+$\sqrt{2}$)/2, (2+$\sqrt{3}$)/2, (2+3$\sqrt{2}$)/2, ±1/2),
 * (1/2, (1+$\sqrt{33+12√2}$)/2, (1+2$\sqrt{2}$)/2, (3+3$\sqrt{2}$)/2, ±1/2).