Julia Sets also offer great fractals. The definition of the Julia sets is very similar to the mandelbrot set. As a reminder, the Mandelbrot set is the set of the complex numbers c for which the sequence zn+1=z2n+c is bounded (z0 is set to 0). While, the definition of the Julia sets is the numbers z0 for which the sequence is bounded, with c a constant value.
from math import log, log2
MAX_ITER = 80
def julia(c, z0):
z = z0
n = 0
whileabs(z) <= 2and n < MAX_ITER:
z = z*z + c
n += 1
if n == MAX_ITER:
return n + 1 - log(log2(abs(z)))
from PIL import Image, ImageDraw
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