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. 1 prismatorhombated icositetrachora, 1 small rhombicuboctahedral prism, 1 truncated octahedral prism, 1 triangular-square duoprism, and 2 square-hexagonal duoprisms join at each vertex. As the name suggests, it is a prism based on the prismatorhombated icositetrachoron, which also makes it a convex segmentoteron.

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:
 * $$\left(±\frac{2+3\sqrt2}{2},\,±\sqrt2,\,±\frac{\sqrt2}{2},\,0,\,±\frac12\right),$$
 * $$\left(±\frac{1+3\sqrt2}{2},\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12\right).$$