fracted 0.1.0

A simple library for drawing IFS fractals and fractal-flames

A simple python library for IFS fractals and fractal flames.

It allows you to render fractals as numpy arrays. Then, you can analyze it, display it using matplotlib or save as image with Pillow.

Installation

Install using pip:

pip install fracted

or clone this repo:

git clone https://github.com/Skrret/fracted

and install in editable mode:

cd fracted
pip install -e .

Usage

from fracted import fractals

Serpinski Triangle

transformations = [
    (lambda point: (point[0] / 2 + 100 * 3 ** 0.5, point[1] / 2)),
    (lambda point: (point[0] / 2, point[1] / 2 + 100)),
    (lambda point: (point[0] / 2, point[1] / 2 - 100)),
]
frac = fractals.IFS(
    transformations,
    min_x=0,
    min_y=-200,
    max_x=400,
    max_y=200,
)
plt.imshow(frac.draw(20, 50_000))
plt.show()

Fractal Flames

Fracted can be also used to generate fractal flames.

transformations = [
    (
        lambda point: (
            0.8 * point[0] + 0.5 * numpy.cos(point[1]) - 3,
            0.8 * point[1] + 0.5 * numpy.cos(point[0]) - 3,
        )
    ),
    (
        lambda point: (
            -0.5 * point[1] + 0.5 * abs(point[0]) ** 0.5 + 1,
            0.5 * point[0] + 0.5 * abs(point[0]) ** 0.5 + 3,
        )
    ),
]
frac = fractals.IFS(
    transformations, resolution=50, min_x=-10, min_y=-10, max_x=10, max_y=10
)
plt.imshow(numpy.log10(frac.draw(20, 50000)))
plt.show()

More examples are in examples/.

License

MIT