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In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U46. == Cartesian coordinates == Cartesian coordinates for the vertices of a snub icosidodecadodecahedron are all the even permutations of : (±2α, ±2γ, ±2β), : (±(α+β/τ+γτ), ±(-ατ+β+γ/τ), ±(α/τ+βτ-γ)), : (±(-α/τ+βτ+γ), ±(-α+β/τ-γτ), ±(ατ+β-γ/τ)), : (±(-α/τ+βτ-γ), ±(α-β/τ-γτ), ±(ατ+β+γ/τ)) and : (±(α+β/τ-γτ), ±(ατ-β+γ/τ), ±(α/τ+βτ+γ)), with an even number of plus signs, where : α = ρ+1, : β = τ2ρ2+τ2ρ+τ, : γ = ρ2+τρ, and where τ = (1+√5)/2 is the golden mean and ρ is the real solution to ρ3=ρ+1, or approximately 1.3247180. ρ is called the plastic constant. Taking the odd permutations of the above coordinates with an odd number of plus signs gives another form, the enantiomorph of the other one. 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「snub icosidodecadodecahedron」の詳細全文を読む スポンサード リンク
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