Butterfly Curve and Variations

The butterfly curve (
a=4
) is a transcendental plane curve discovered by Temple H. Fay. The parametric equations are
x=cos(θ)-2cos(aθ)-
5
sin
θ
12
+
cos(θ)
e
,
y=sin(θ)-2cos(aθ)-
5
sin
θ
12
+
cos(θ)
e
.

External Links

Butterfly Curve (Wolfram MathWorld)

Permanent Citation

Yasmina Fernandez Vega, Pablo Alberca Bjerregaard
​
​"Butterfly Curve and Variations"​
​http://demonstrations.wolfram.com/ButterflyCurveAndVariations/​
​Wolfram Demonstrations Project​
​Published: October 18, 2024