Truncated octahedron atop great rhombicuboctahedron

Truncated octahedron atop great rhombicuboctahedron, or toagirco, is a CRF segmentochoron (designated K-4.149 on Richard Klitzing's list). As the name suggests, it consists of a truncated octahedron and a great rhombicuboctahedron as bases, connected by 12 triangular prisms, 8 hexagonal prisms, and 6 square cupolas.

It can be constructed as a cap of the prismatorhombated icositetrachoron, with a truncated octahedron at the top.

Vertex coordinates
The vertices of a truncated octahedron atop great rhombicuboctahedron segmentochoron of edge length 1 are given by:
 * (±$\sqrt{2}$, ±/2, 0, 1/2) and all permutations of first three coordinates
 * (±(1+2$\sqrt{2}$)/2, ±(1+$\sqrt{2}$)/2, ±1/2, 0) and all permutations of first three coordinates