How to plot the Mandelbrot set

[CG]Maxime
645 views

Open Source Your Knowledge, Become a Contributor

Technology knowledge has to be shared and made accessible for free. Join the movement.

Create Content

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 for which the sequence is bounded ( is set to ). While, the definition of the Julia sets is the numbers for which the sequence is bounded, with a constant value.

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
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
if n == MAX_ITER:
return MAX_ITER
return n + 1 - log(log2(abs(z)))
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
1
XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

I hope you liked this playground. Please leave a comment below!

Open Source Your Knowledge: become a Contributor and help others learn. Create New Content