Butterfly curve (transcendental)

The butterfly curve is a transcendental plane curve discovered by Temple Fay.[1]

The butterfly curve.

Equation

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

  1. Fay, Temple H. (May 1989). "The Butterfly Curve". Amer. Math. Monthly. 96 (5): 442–443. doi:10.2307/2325155. JSTOR 2325155.
  2. Weisstein, Eric W. "Butterfly Curve". MathWorld.
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