Butterfly curve (transcendental)
The butterfly curve is a transcendental plane curve discovered by Temple Fay.[1]
![](../I/m/Butterfly_trans01.svg.png)
The butterfly curve.
Equation
![](../I/m/Animated_construction_of_butterfly_curve.gif)
An animated construction gives an idea of the complexity of the curve (Click for enlarged version).
The curve is given by the following parametric equations:[2]
or by the following polar equation:
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See also
References
- Fay, Temple H. (May 1989). "The Butterfly Curve". Amer. Math. Monthly. 96 (5): 442–443. doi:10.2307/2325155. JSTOR 2325155.
- Weisstein, Eric W. "Butterfly Curve". MathWorld.
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