翻訳と辞書 Words near each other ・ Compound of six pentagrammic prisms ・ Compound of six square antiprisms ・ Compound of six tetrahedra ・ Compound of six tetrahedra with rotational freedom ・ Compound of small stellated dodecahedron and great dodecahedron ・ Compound of ten hexagonal prisms ・ Compound of ten octahedra ・ 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 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 twelve pentagonal antiprisms with rotational freedom ： ウィキペディア英語版 Compound of twelve pentagonal antiprisms with rotational freedom This uniform polyhedron compound is a symmetric arrangement of 12 pentagonal antiprisms. It can be constructed by inscribing one pair of pentagonal antiprisms within an icosahedron, in each of the six possible ways, and then rotating each by an equal and opposite angle θ. When θ is 36 degrees, the antiprisms coincide in pairs to yield (two superimposed copies of) the compound of six pentagonal antiprisms (without rotational freedom). This compound shares its vertices with the compound of twelve pentagrammic crossed antiprisms with rotational freedom. == Cartesian coordinates == Cartesian coordinates for the vertices of this compound are all the cyclic permutations of : (±(2τ−1−(2τ+4)cosθ), ±2(√(5τ+10))sinθ, ±(τ+2+(4τ−2)cosθ)) : (±(2τ−1−(2τ−1)cosθ−τ(√(5τ+10))sinθ), ±(−5τcosθ+τ−1(√(5τ+10))sinθ), :: ±(τ+2+(3−τ)cosθ+(√(5τ+10))sinθ)) : (±(2τ−1+(1+3τ)cosθ−(√(5τ+10))sinθ), ±(−5cosθ−τ(√(5τ+10))sinθ), :: ±(τ+2−(τ+2)cosθ+τ−1(√(5τ+10))sinθ)) : (±(2τ−1+(1+3τ)cosθ+(√(5τ+10))sinθ), ±(5cosθ−τ(√(5τ+10))sinθ), :: ±(τ+2−(τ+2)cosθ−τ−1(√(5τ+10))sinθ)) : (±(2τ−1−(2τ−1)cosθ+τ(√(5τ+10))sinθ), ±(5τcosθ+τ−1(√(5τ+10))sinθ), :: ±(τ+2+(3−τ)cosθ−(√(5τ+10))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 twelve pentagonal antiprisms 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.