Mandelbrot and Related Sets Visualization in Python

A python script for visualizing the Mandelbrot and related sets of the form z^(deg) + c. More information about the Mandelbrot set can be found here.

Installation

1. Clone the repository to local machine.

git clone https://github.com/JohnNellas/MandelbrotAndRelatedSetsVisPython.git

2. Move inside the cloned directory entitled MandelbrotAndRelatedSetsVisPython.

cd MandelbrotAndRelatedSetsVisPython

3. Install the required modules from the requirements.txt file.

pip install -r requirements.txt

4. See the documentation of the main program main.py.

python3 main.py --help

usage: main.py [-h] [--z0 Z0] [--c_a_minmax C_AMIN C_AMAX] [--c_b_minmax C_BMIN C_BMAX] [--n_points N_POINTS] [--degree DEGREE] [--nIter NITER] [--boundary BOUNDARY] [--savePath SAVEPATH]
               [--format {jpg,png,pdf}]

A python script for visualizing Mandelbrot and related sets of the form (z^deg) + c.

optional arguments:
  -h, --help            show this help message and exit
  --z0 Z0               The starting value of z_{n}.
  --c_a_minmax C_AMIN C_AMAX
                        The min and max values for the real part of c terms to be examined.
  --c_b_minmax C_BMIN C_BMAX
                        The min and max values for the imaginary part of c terms to be examined.
  --n_points N_POINTS   The number of points to obtain between the specified min max intervals.
  --degree DEGREE       The degree of z_{n}.
  --nIter NITER         The number of iterations to check for divergence.
  --boundary BOUNDARY   The divergence boundary.
  --savePath SAVEPATH   The target directory to save the generated figures (if it does not exist, it will be created).
  --format {jpg,png,pdf}
                        The format to save the generated figures (choices: png, jpg, pdf).

Example

Visualize the Mandelbrot set and save the generated figures with jpeg format in the target directory figures (if the specified directory does not exist then it will be created).

python3 main.py --z0 0 --deg 2 --savePath figures --format jpg

Results

The execution of the aforementioned command will result in creating a directory entitled figures which will contain the following figures.