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An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929. It is the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes, so that the center of each circle lies on the other circle. The distance between the circle centers equals the radius of the circles. One third of each circle's perimeter lies inside the convex hull, so the same shape may be also formed as the convex hull of the two remaining circular arcs each spanning an angle of 4π/3. ==Surface area and volume== The surface area of an oloid is given by:〔.〕 : exactly the same as the surface area of a sphere with the same radius. In closed form, the enclosed volume is〔〔(OEIS A215447 ), OEIS A215447〕 :, where ''K'' and ''E'' denote the complete elliptic integrals of the first and second kind respectively. A numerical calculation gives: : 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「oloid」の詳細全文を読む スポンサード リンク
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