Compound of Two Icosahedra
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Two identical icosahedra with a common center have pairs of edges perpendicular to each other at the vertices of an inner octahedron. Eight pairs of triangular faces of the compound are on the faces of the enveloping octahedron. Each vertex of the triangles divides the edge of the octahedra in the golden ratio.
Contributed by: Sándor Kabai and Szaniszló Bérczi (November 2007)
Open content licensed under CC BY-NC-SA
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"Compound of Two Icosahedra"
http://demonstrations.wolfram.com/CompoundOfTwoIcosahedra/
Wolfram Demonstrations Project
Published: November 2 2007