🚀 go-pugleaf

Once you get used to Newton's Method to solve iterative functions,
you can make up your own.  Try one with just real roots, like
(x^2 - 4) that will give you vertical lines (no imaginary part)
Then try one with two real and one imaginary root.
(I messed with the colors in x^3-1 and got a real striking fractal
with the real root in blues, one imag root in greens, and the
other in reds...)
If you want a striking pattern, try x^4-1=0.  That gives two real and
two imaginary roots.  Apply Newton's Method, and you get one that has
you saying "Wow!"

Frank Hartranft
-- 
Frank@unomaha.edu