It’s made of rhombicosidodecahedra, and has the overall shape of a rhombicosidodecahedron as well. To make it, I started with the polyhedron in the last post, and then augmented each green pentagonal face with a rhombicosidodecahedron. I used software available here: http://www.software3d.com/stella.php.
To obtain this polyhedron, I took the one from the last post, and then augmented the twenty outermost triangles with icosidodecahedra. The fact that this new cluster has the overall shape of a dodecahedron caught be by surprise.
Software credit: see http://www.software3d.com/Stella.php for free trial download.
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