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These uniform polyhedron compounds are symmetric arrangements of 10 octahedra, considered as triangular antiprisms, aligned with the axes of three-fold rotational symmetry of an icosahedron. The two compounds differ in the orientation of their octahedra: each compound may be transformed into the other by rotating each octahedron by 60 degrees. == Cartesian coordinates == Cartesian coordinates for the vertices of this compound are all the cyclic permutations of : (0, ±(τ−1√2 + 2''s''τ), ±(τ√2 − 2sτ−1)) : (±(√2 − ''s''τ2), ±(√2 + ''s''(2τ − 1)), ±(√2 + ''s''τ−2)) : (±(τ−1√2 − ''s''τ), ±(τ√2 + ''s''τ−1), ±3''s'') where τ = (1 + √5)/2 is the golden ratio (sometimes written φ) and ''s'' is either +1 or −1. Setting ''s'' = −1 gives UC15, while ''s'' = +1 gives UC16. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Compound of ten octahedra」の詳細全文を読む スポンサード リンク
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