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Compound of six pentagonal antiprisms

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  1. This uniform polyhedron compound is a symmetric arrangement of 6 pentagonal 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 cyclic permutations of where τ = (1+√5)/2 is the golden ratio (sometimes written φ)

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  3. can be constructed by inscribing within an icosahedron one pentagonal antiprism in each of the six possible ways, and then rotating each by 36 degrees about its axis (that passes through the centres of the two opposite pentagonal faces)

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on March 2, 2009
  4. shares its vertex arrangement with the compound of 6 pentagrammic crossed antiprisms

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