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:
 * $$\left(±\sqrt2,\,±\frac{\sqrt2}2,\,0,\frac12\right)$$ and all permutations of the first three coordinates,
 * $$\left(±\frac{1+2\sqrt2}2,\,±\frac{1+\sqrt2}2,\,±\frac12,0\right)$$ and all permutations of the first three coordinates.