FlamePython2

This is a Python implementation of the Flames Fractals algorithm.

The Fractal Flame algorithm is a two-dimensional Iterated Function System (IFS) that creates images by plotting the output of an attractor on the image plane. This algorithm is distinguished by its use of non-linear functions, log-density display, and structural coloring, which together result in a wide range of visually interesting images.

To use this implementation, clone the repository and follow the instructions in the README.md file within the repository.

Generating an image

To generate an image, use the GenerateImages.py script. It will generate the following image:

The code creates an ImageHolder object of type Sierpinskies.

Parameters are:

• i: the index of the image
• n_im: the total number of images - useful for video
• size: the size in pixels of the image to save
• name: the name of the folder and basename for the image

Creating your own ImageHolder

The best way is to start from a simple existing ImageHolder, such as Sierpinski that creates a red-white Sierpinski triangle. One just needs to implement the create_variation function.

At the core of this function, a Variation object is created, taking as parameters:

• a list of Function objects
• an int burn_steps or number of times that the iterative functions are called but the results are not stored. 10-15 is usually a good default. a lower number can mean more blurry images.
• an int iterate_steps that is the number of iterations that are stored, a higher number means more computing time but brighter images / more converged images.
• an int N that is the number of points on which the functions are applied iterate_steps times. A higher number means brighter images / more converged images. This parameter has the most impact on generating time. 15000 is a good default value for experimenting, that can be gradually increased.

Image	Description
	Image with N=15k points
	Image with N=150k points
	Image with N=1.5M points

Generating a video

To generate a video, use the VideoGenerator.py file, that contains the VideoGenerator object. That object takes an ImageHolder child class as argument.

Next steps

• Document the Function parameters