The Butterfly Curve

Author:
Daryl Funk

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 .