Cluster of 14 Rhombic Triacontahedra

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Rhombic triacontahedra (RT) are placed at the 14 vertices of a rhombic dodecahedron (RD). RTs are connected at their threefold vertices. If the RTs are moved closer together, the adjacent RTs intersect in a prolate rhombohedron, forming a closed structure. A cube and a rhombic dodecahedron with variable size are included to show their relationship with the cluster of RTs.
Contributed by: Sándor Kabai (October 2015)
Open content licensed under CC BY-NC-SA
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"Cluster of 14 Rhombic Triacontahedra"
http://demonstrations.wolfram.com/ClusterOf14RhombicTriacontahedra/
Wolfram Demonstrations Project
Published: October 7 2015