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compound of six pentagrammic antiprisms
This uniform polyhedron compound is a chiral symmetric arrangement of 6 pentagrammic antiprisms, aligned with the axes of fivefold rotational symmetry of a dodecahedron.
== Cartesian coordinates ==
Cartesian coordinates for the vertices of this compound are all the cyclic permutations of
: (±(τ+√τ−1), ±τ−1, ±(−1+√τ))
: (±√τ−1, ±2, ±√τ)
: (±(−τ+√τ−1), ±τ−1, ±(1+√τ))
: (±(−1+√τ−1), ±(−τ), ±(τ−1+√τ))
: (±(1+√τ−1), ±(−τ), ±(−τ−1+√τ))
with an even number of minuses in the '±' choices, where τ = (1+√5)/2 is the golden ratio (sometimes written φ).
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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