Creating the classic Mandelbrot set

Some setup

import chaoseverywhere as chaos

Classic Mandelbrot

First, let’s compute the classic version of the mandelbrot set in black and white. It is well known that the Mandelbrot set is contained in the origin disk of radius 2 \(D((0,0),2)\), so we just iterate the formula :

\[z_{n+1}=z_n^2+c,\ c\in\mathbb{C},\]

with \(z_0=0\in\mathbb{C}\).

chaos.Mandelbrot_disp(0,0,2,t_max=150).disp_mandel()