2004/10/14 | 蝶形曲线[Butterfly Curve]
类别(∑〖数学〗) | 评论(0) | 阅读(44) | 发表于 12:50

There are two curves known as the butterfly curve.
The first is the sextic plane curve given by the implicit equation
(1)

(Cundy and Rollett 1989, p. 72; left figure).

The second is the curve with polar equation
(2)

which has the corresponding parametric equations
(3)

(3)

(Bourke, Fay 1989, Fay 1997, Kantel-Chaos-Team, Wassenaar; right figure).
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