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Rhombic Enneacontahedron with 30 Icosahedra

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This polyhedron compound contains one rhombic enneacontahedron (RE) and 30 icosahedra. Each icosahedron is merged with a thin rhombus so that the edges of the rhombus are on the adjacent faces of the icosahedron.

Contributed by: Sándor Kabai (December 2007)
Open content licensed under CC BY-NC-SA

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This assembly can be used to facilitate recalling certain geometrical facts, such as:

1. The rhombic enneacontahedron is bordered by 60 fat rhombi (with diagonal ratio equal to ) and 30 thin rhombi (with diagonal ratio equal to , where is the golden ratio).

2. The thin rhombi coincide with the faces of the rhombic triacontahedron.

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