Three Views of a Modified Great Rhombicosidodecahedron

To make these using Stella 4d (available here), I started with the great rhombicosidodecahedron, then used the “morph duals by expansion” function on it — twice. Here’s the result, shown with coloring done by face type.

The next one has faces colored by number of sides.

Finally, here’s one shown in rainbow color mode.