Fractal Geometry Creator

Mandelbrot and Julia sets created and visualized in Python

A set of scripts to create and visualize Mandelbrot and Julia sets. The fractal_maker.py script will create an image or images based on the selected function.

Options include:

• point_test
• pallete_test
• anim_image
• param_tester

The options are selected by un-commenting the respective line from the entry point function at the bottom of the fractal_maker script.

Example:

Test the point -0.7756837699949401 -0.13646736999704i at a zoom level of 10,000x with a cutoff iteration value of 1,000:

# fractal_maker.py
if __name__ == "__main__":
    start = time.perf_counter()

    x1 = point_collection["mandelbrot"][0][0]
    y1 = point_collection["mandelbrot"][0][1]

    point_test(mode="m", x=x1, y=y1, zoom=10000, test_num=1, iterations=1000)

    print(f"Finished in {time.perf_counter() - start}s")

Result:

Animation Example:

Create a series of images at higher zoom levels, and run the animator script to create an animation.

# fractal_maker.py
if __name__ == "__main__":
    start = time.perf_counter()

    x2 = point_collection["mandelbrot"][3][0]
    y2 = point_collection["mandelbrot"][3][1]
    anim_image(
        mode="m",
        zoom_rate=2,
        zoom_range=10,
        iteration=100,
        x=x2,
        y=y2,
        zoom_scale=True
    )

    print(f"Finished in {time.perf_counter() - start}s")

And once the images are created:

# animator.py

if __name__ == "__main__":
    gif("test1")

Result: