Great rhombated icositetrachoric prism

The great rhombated icositetrachoric prism or gricope is a prismatic uniform polyteron that consists of 2 great rhombated icositetrachora, 24 great rhombicuboctahedral prisms, 24 truncated cubic prisms, and 96 triangular-square duoprisms. 1 great rhombated icositetrachoron, 2 great rhombicuboctahedral prisms, 1 truncated cubic prism, and 1 triangular-square duoprism join at each vertex. As the name suggests, it is a prism based on the great rhombated icositetrachoron, wihch also makes it a convex segmentoteron.

This polyteron can be subsymmetrically faceted into a cantic snub icositetrachoric alterprism, although it cannot be made uniform.

Vertex coordinates
The vertices of a great rhombated icositetrachoric prism of edge length 1 are given by all permutations and sign changes of the first four coordinates of:
 * $$\left(±3\frac{1+\sqrt2}{2},\,±\frac{1+2\sqrt2}{2},\,±\frac{1+\sqrt2}{2},\,±\frac12,\,±\frac12\right),$$
 * $$\left(±\frac{2+3\sqrt2}{2},\,±(1+\sqrt2),\,±\frac{2+\sqrt2}{2},\,0,\,±\frac12\right).$$