If a central polyhedron’s pentagonal and triangular faces are augmented by great dodecahedra and great icosahedra, I refer to it as a “greatly augmented” polyhedron. Here, this has been done with an icosidodecahedron. The same figure appears below, but in “rainbow color” mode.

In the next image, “color by face type,” based on symmetry, was used.

The next image shows the dual of this polyhedral cluster, with face color chosen on the basis of number of sides.

Here is another version of the dual, this one in “rainbow color” mode.

Finally, this image of the dual is colored based on face type.

These six images were made with Stella 4d, which may be found here.