Rhombihyperhombicosicosahedron

The rhombihyperhombicosicosahedron, rahrie, or compound of five small cubicuboctahedra  is a uniform polyhedron compound. It consists of 40 triangles (which form coplanar pairs combining into 20 hexagrams), 30 squares, and 30 octagons, with one triangle, one square, and two octagons joining at each vertex.

It can be formed by replacing each small rhombicuboctahedron in the rhombisnub rhombicosicosahedron with the small cubicuboctahedron with which it shares its edge skeleton.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the rhombisnub rhombicosicosahedron.