Butterfly and Color
Author: Mike May, S.J.

The butterfly applet was written by Mohamed Alsayes
of the Emirates College for Advanced Education in the UAE

Used with permission

Curve[sin(t) (e^cos(t) - 2 cos(4 t) - sin(t / 12)^m), cos(t) (e^cos(t) - 2 cos(4 t) - sin(t / 12)^m), t, 0, 17]

Thank you Daniel

n = 5.1 (slider from 0 to 30, step 0.0010)
e = 2.718281828459045
m = 5
a = 0
b = 0
c = 0
d = 0
f = 0
j = CurveCartesian(sin(t) * (e^(cos(t)) - 2.0 cos(4.000000000000003 t) - sin(t / 12.0)^(m)), cos(t) * (e^(cos(t)) - 2.0 cos(4.000000000000003 t) - sin(t / 12.0)^(m)), t, 0.0, n)