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In geometry, the Plücker’s conoid is a ruled surface named after the German mathematician Julius Plücker. It is also called a conical wedge or cylindroid; however, the latter name is ambiguous, as "cylindroid" may also refer to an elliptic cylinder. The Plücker’s conoid is defined by the function of two variables: : By using cylindrical coordinates in space, we can write the above function into parametric equations : Thus the Plücker’s conoid is a right conoid, which can be obtained by rotating a horizontal line about the z-axis with the oscillatory motion (with period 2''π'') along the segment () of the axis (Figure 4). A generalization of the Plücker’s conoid is given by the parametric equations : where ''n'' denotes the number of folds in the surface. The difference is that the period of the oscillatory motion along the ''z''-axis is 2''π''/''n''. (Figure 5 for ''n'' = 3) ==See also== *Ruled surface *Right conoid 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「Plücker's conoid」の詳細全文を読む スポンサード リンク
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