Rotating the Faces of the Icosahedron

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The faces of an icosahedron are rotated in their respective planes. Rotating and extending the faces gives various polyhedra: an icosidodecahedron, a cube 5‐compound, a tetrahedron 5‐compound, or a great icosahedron.
Contributed by: Sándor Kabai (April 2007)
Open content licensed under CC BY-NC-SA
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"Rotating the Faces of the Icosahedron"
http://demonstrations.wolfram.com/RotatingTheFacesOfTheIcosahedron/
Wolfram Demonstrations Project
Published: April 27 2007