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Compound of twelve tetrahedra with rotational freedom

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  1. This uniform polyhedron compound is a symmetric arrangement of 12 tetrahedra, considered as antiprisms

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  2. can be constructed by superimposing six identical copies of the stella octangula, and then rotating them in pairs about the three axes that pass through the centres of two opposite cubic faces

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. Each stella octangula 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
  4. Equivalently, a stella octangula may be inscribed within each cube in the compound of six cubes with rotational freedom, which has the same vertices as this compound

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

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