翻訳と辞書 Words near each other ・ Compound of ten tetrahedra ・ Compound of ten triangular prisms ・ Compound of ten truncated tetrahedra ・ Compound of tetrahedra ・ Compound of three cubes ・ Compound of three octahedra ・ Compound of three square antiprisms ・ Compound of three tetrahedra ・ Compound of twelve pentagonal antiprisms with rotational freedom ・ Compound of twelve pentagonal prisms ・ Compound of twelve pentagrammic antiprisms ・ Compound of twelve pentagrammic crossed antiprisms with rotational freedom ・ Compound of twelve pentagrammic prisms ・ Compound of twelve tetrahedra with rotational freedom ・ Compound of twenty octahedra ・ Compound of twenty octahedra with rotational freedom ・ Compound of twenty tetrahemihexahedra ・ Compound of twenty triangular prisms ・ Compound of two great dodecahedra ・ Compound of two great icosahedra ・ Compound of two great inverted snub icosidodecahedra ・ Compound of two great retrosnub icosidodecahedra ・ Compound of two great snub icosidodecahedra ・ Compound of two icosahedra ・ Compound of two inverted snub dodecadodecahedra ・ Compound of two small stellated dodecahedra ・ Compound of two snub cubes ・ Compound of two snub dodecadodecahedra ・ Compound of two snub dodecahedra ・ Compound of two snub icosidodecadodecahedra Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Compound of twenty octahedra with rotational freedom ： ウィキペディア英語版 Compound of twenty octahedra with rotational freedom This uniform polyhedron compound is a symmetric arrangement of 20 octahedra, considered as triangular antiprisms. It can be constructed by superimposing two copies of the compound of 10 octahedra UC16, and for each resulting pair of octahedra, rotating each octahedron in the pair by an equal and opposite angle θ. When θ is zero or 60 degrees, the octahedra coincide in pairs yielding (two superimposed copies of) the compounds of ten octahedra UC16 and UC15 respectively. At a certain intermediate angle, octahedra (from distinct rotational axes) coincide in sets four, yielding the compound of five octahedra. At another intermediate angle the vertices coincide in pairs, yielding the compound of twenty octahedra (without rotational freedom). == Cartesian coordinates == Cartesian coordinates for the vertices of this compound are all the cyclic permutations of : (±2(√3)sinθ, ±(τ−1√2+2τcosθ), ±(τ√2−2τ−1cosθ)) : (±(√2−τ2cosθ+τ−1(√3)sinθ), ±(√2+(2τ−1)cosθ+(√3)sinθ), ±(√2+τ−2cosθ−τ(√3)sinθ)) : (±(τ−1√2−τcosθ−τ(√3)sinθ), ±(τ√2+τ−1cosθ+τ−1(√3)sinθ), ±(3cosθ−(√3)sinθ)) : (±(−τ−1√2+τcosθ−τ(√3)sinθ), ±(τ√2+τ−1cosθ−τ−1(√3)sinθ), ±(3cosθ+(√3)sinθ)) : (±(−√2+τ2cosθ+τ−1(√3)sinθ), ±(√2+(2τ−1)cosθ−(√3)sinθ), ±(√2+τ−2cosθ+τ(√3)sinθ)) 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）』 ■ウィキペディアで「Compound of twenty octahedra with rotational freedom」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.