Ring of 2n Rhombohedra
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Rings are formed by face-to-face connections of rhombohedra, where . Each rhombohedron is made up of two congruent tetrahedral parts and one octahedral part at the center. The diagonal ratio of the faces of the rhombohedra is , giving the series 0.707107, 1., 1.30656, 1.61803, 1.93185, 2.24698, …. If , the ratio is , producing an oblate silver rhombohedron. The first member of this family of rhombohedral rings is the rhombic dodecahedron, composed of oblate silver rhombohedra. A cube and a prolate golden rhombohedron are obtained when and
Contributed by: Sándor Kabai (April 2007)
Open content licensed under CC BY-NC-SA
"Ring of 2n Rhombohedra"
Wolfram Demonstrations Project
Published: April 27 2007