Cluster of 45 Polyhedra around a Rhombic Hexacontahedron

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

Rhombic triacontahedra (RT) and rhombic hexecontahedra (RH) are layered to form a structure similar to one sometimes found in quasicrystals. The total number of polyhedra can be enumerated as follows: 1 RH + 12 RT + 20 RT + 12 RH = 45.

Contributed by: Sándor Kabai (October 2015)
Open content licensed under CC BY-NC-SA




[1] S. Kabai, S. Bérczi, and L. Szilassi, "Clusters Produced by Placing Rhombic Triacontahedra at the Vertices of Polyhedra," The Mathematica Journal, 14, Sep 2012.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.