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How to plot the Mandelbrot set

[CG]Maxime
26.8K views
01 Mandelbrot Set
02 Adding some colors
03 Bonus: Julia Sets
Previous: Adding some colors

Julia Sets

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
while abs(z) <= 2 and n < MAX_ITER:
z = z*z + c
n += 1
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