Compound of five octahedra

It can be constructed by a rhombic triacontahedron with rhombic-based pyramids added to all the faces, as shown by the five colored model image.

It can also be seen as a polyhedral compound of five octahedra arranged in icosahedral symmetry (Ih).

The spherical and stereographic projections of this compound look the same as those of the disdyakis triacontahedron.

But the convex solid's vertices on 3- and 5-fold symmetry axes (gray in the images below) correspond only to edge crossings in the compound.

It can be generated by adding a fifth octahedra to the standard 4-octahedra compound.