Wolfram Demonstrations Project

A fourfold copy of a rhombic triacontahedron can be created with 11 layers. From inside to outside these are:

• rhombic hexecontahedron that consists of 20 prolate golden rhombohedra (PR)

• 12 rhombic triacontahedra (RT)

• 60 PR

• 30 PR

• 60 rhombic dodecahedra of the second kind (RD2)

• 60 PR

• 60 RD2

• 12 rhombic icosahedra (RI)

• 240 oblate rhombohedra (OR)

Reference

[1] I. Hafner, T. Zitko, and B. Jurcic–Zlobec, "Gallery of Rhombic Polyhedra," VisMath, 4(1), 2002. vismath7.tripod.com/hafner.

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Fourfold Triacontahedron