Ring of 190 Golden Rhombohedra

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Ten rhombic hexecontahedra (RH), each consisting of 20 prolate golden rhombohedra (prGR), are joined in a ring. The adjacent RHs have a common prGR, so the total number of prGRs in the ring is . This Demonstration shows a few examples of the many possible structures that can be built on the ring of the 10 common prGRs. The abbreviations are: rh=rhombic hexecontahedron, ico=icosohedron, rt=rhombic triacontahedron, and tico=truncated icosohedron.

Contributed by: Sándor Kabai (June 2016)
Open content licensed under CC BY-NC-SA




[1] S. Kabai. A Ring of 190 Golden Rhombohedra [Video]. (Jun 15, 2016) www.youtube.com/watch?v=jpUTB2Nehlg.

[2] S. Kabai. A Ring of 90 Golden Rhombohedra [Video]. (Jun 15, 2016) www.youtube.com/watch?v=JRLqtfnVH70.

[3] S. Kabai. Modeling the Rhombic Icosahedra [Video]. (Jun 15, 2016) www.youtube.com/watch?v=Za4olNRGjLc.

[4] E. Pegg Jr, A. H. Schoen, and T. Rodgers (eds.), Homage to a Pied Puzzler, Wellesley, MA: A. K. Peters, Ltd., 2009. www.crcnetbase.com/isbn/9781439865002.

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