Generate different multibrot sets and explore the fractal world by choosing their exponent and precision.
Multibrot sets are a generalization of the famous Mandelbrot Set. These sets generate beautiful fractal patterns.
The sets we explore are, given z_0 = 0 + 0i, a starting point c = a + bi, and an exponent d:
z_(n+1) = (z_n)^d + c , for n >= 0
The points that stay bounded after a given amount of iterations (precision) will be included in the set.
A point is defined to be bounded and will not diverge to infinity if |z_n| <= 2 for any n >= 0.
You can choose the exponent, precision and animation speed in the setup.py file.
Run with python3 multibrot.py
Get pygame sudo apt-get install python3-pygame
Some examples:
(exponents = 2, 4, 8 and 16 respectively)
