The Butterfly Curve
A pretty parametrically defined curve
This worksheet plots the parametric curve known as "The Butterfly Curve" (see http://en.wikipedia.org/wiki/Butterfly_curve_%28transcendental%29).
The equations defining and as functions of are
and .
The animation just plots the points as takes values between -50 and 50. You can change the interval through which runs by changing the values of and .