Wolfram Demonstrations Project

13,000+ Open Interactive Demonstrations
Powered by Notebook Technology »

Cluster of 45 Polyhedra around a Rhombic Hexacontahedron

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

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

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

Snapshots

Details

Reference

[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. www.mathematica-journal.com/2012/09/clusters-produced-by-placing-rhombic-triacontahedra-at-the-vertices-of-polyhedra.

Embed Code

Take advantage of the Wolfram Notebook Emebedder for the recommended user experience.

Related Demonstrations More by Author
Browse all topics
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.
Send