Scripts to generate the Mandelbrot set and Julia Sets

A Brief Note

The script mandelbrot.py can be called from the command line, but parameters are passed in an if __name__=="__main__" statement at the bottom of the script. I would implement a command line argument parser (and argparse would be the way to do it) but I think the amount of effort required is greater than the reward.

The arguments for the primary function in the script are described below. The secondary function, print_progress_bar, simply prints a progress bar, very much like what pip uses. I borrowed this script from here.

Parameters

These are also described within each file.

• a: number between -2 and 2
• b: number between -2 and 2 Above are only used in julia.py
• initial_color_hue: number between 0 and 1. Specifies the initial coloring based on HSV color model. Corresponds with Hue.
• color_scale: how rapidly colors change while rendering the fractal Above are for use in a color smoothing algorithm. More info here
• zoom_level: any number from 1 to inf.
• center_point: point at which the image is centered. Bounded by ((-2, -2), (2, 2))
• max_iter: number of iterations to run on a pixel
• job: helpful for when generating multiple fractals. First number that shows up in the image name.
• directory: directory to save image in. Must be relative to current working directory.
• image_size: Image size in pixels (tuple)
• image_save: whether or not to save the image (boolean)
• x_max: Maximum value on the real axis on which the fractal is defined. Highly recommended that this number (2.3) is not changed.
• aspect_ratio: ratio between sides of image
• verbose: print information about generation of image (boolean)

If you have any questions, please let me know.

Examples of images

A Julia Set:

A Mandelbrot Set: