The rhombic enneacontahedron has thirty faces which are narrow rhombi, and sixty faces which are wider rhombi. It is also known as a vertex-based zonohedrified dodecahedron. To create this cluster-polyhedron, I started with one rhombic enneacontahedron in the center, and then augmented its thirty red faces (the narrow rhombi) with additional rhombic enneacontahedra. In the image above, I kept the yellow color for all the wide rhombi, and red for all the narrow ones. In the next image, however, the rhombi are colored by face type, referring to their position in the entire cluster-polyhedron.
Software credit: I created this using Stella 4d, software you can buy, or try for free, at this website.
RobertLovesPi.net 
extreamly superb
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Can this be made in greaet stella 4d? PLease could send the settings of it. Thank you.
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Please see the first paragraph of text in the post. It explains how to make this cluster-polyhedron in Stella 4d. To get the rhombic enneacontahedron in the first place, use zonohedrification based on the vertices of a dodecahedron.
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Thank you.
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Hello Robert, Firstly, absolute fan of the work you are doing. I make art pieces and wanted to know if was ok for me to try and make this into a live 3d sculpture?
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Go for it!
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