otre99 / fractalsgen

FractalsGen

This program generates beautiful fractal images using the following functions:

• Family00: $$z = x^2(1+Re(Q)z^2)/(1-Re(Q)z^2) + C$$
• Family01: $$z = x^2 + C$$
• Family02: $$z = x^n + C$$
• Family03 (Newton method): $$z = z - \frac{x^n + C}{nx^{n-1}}$$
• Family04 (Newton method): $$z = z - \frac{x^n + Qz + C}{nx^{n-1}+Q}$$

Actually, some functions are special cases of other functions, for example, Family01 is a special case of the function Family00 when Re(Q) = 0, this is so for optimization purposes. You can change the different parameters to get very impressive images.

How to build de app?

Just use QtSDK-6.4.* and open qtapp/CMakeLists.txt with QtCreator tool. It doesn't need any external.

plot.py script

You can save the raw data from the FractalGen application and use the plot.py script to display the fractal using Matplotlib's palettes.

usage: plot.py [-h] [--cmap CMAP] [--log] [--save_img SAVE_IMG] fname

positional arguments:
  fname                Input file

options:
  -h, --help           show this help message and exit
  --cmap CMAP          Colormap
  --log                Use log scale
  --save_img SAVE_IMG  Save image

Gallery

FractalGen:

Some examples:

TO DO:

• Add other color maps
• Add new fractals