Cluster of 120 Spheres

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Twelve rings of ten spheres each are arranged in a cluster of 120 spheres. Each ring is parallel to one of the faces of a dodecahedron. When the rings are moved toward the origin, pairs of spheres coincide to form various clusters of 60 spheres; one such is close to the geometry of the C60 molecule, but the spheres sit at the vertices of a small rhombicosidodecahedron instead of a truncated icosahedron. A cluster of 30 spheres is formed when all the rings are at the origin. A center sphere with adjustable size is included to enhance the view.
Contributed by: Sándor Kabai (September 2007)
Open content licensed under CC BY-NC-SA
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"Cluster of 120 Spheres"
http://demonstrations.wolfram.com/ClusterOf120Spheres/
Wolfram Demonstrations Project
Published: September 28 2007