Ring of 2n Rhombohedra

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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




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