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Compound of eight octahedra with rotational freedom

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  1. This uniform polyhedron compound is a symmetric arrangement of 8 octahedra, considered as triangular antiprisms

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  2. Cartesian coordinates for the vertices of this compound are all the permutations of

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. can be constructed by superimposing eight identical octahedra, and then rotating them in pairs about the four axes that pass through the centres of two opposite octahedral faces

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  4. Each octahedron is rotated by an equal (and opposite, within a pair) angle θ

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  5. When θ = 0, all eight octahedra coincide

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  6. When θ is 60 degrees, the octahedra coincide in pairs yielding (two superimposed copies of) the compound of four octahedra

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
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