Tekeo-Ronin / Fractals-Generator

🎆 Matlab\Octave fractals generator

Fraktals generator

This project is a simple utility for generating fractals based on the feedback function. It allows you to create fractal images using various algorithms and parameters.

Requirements

To use this project you will need:

• Octave

Installation

1. Clone the repository:

    git clone https://github.com/Tekeo-Ronin/Fractal-Generator.git

2. Go to the folder with the project:

    cd Fractals-Generator

3. Start Octave by running the command:

    octave

4. At the Octave command line, run the main.m script to start the fractal generator:

    main.m

More details

Mandelbrot set

• A nested for loop is used to iterate over each point on the plane.

• For each point, an iterative process is performed using a for loop, computing the value of according to the formula .

• It checks whether the modulus of the obtained value of exceeds 2. If not, the point is considered part of the Mandelbrot set.

• The number of iterations required for divergence is used to determine the color of each point.

Barnsley fern

• A for loop is used to compute the coordinates of each fern point.
• A random rule is chosen, and the computation of the new point's position is based on this rule.
• The process is repeated several times (as determined by the number of iterations) to generate enough points for visualizing the fern.

Julia set

• Similar to the Mandelbrot set, a for loop is used to iteratively compute the values of points on the plane.
• Instead of the point being dependent on the coordinates of points on the plane, it is fixed.
• The computation of values follows the formula .
• Each point is considered part of the Julia set if the modulus of the obtained value of does not exceed 2 after a certain number of iterations.

Contributing

Feel free to fork the repository and submit pull requests.

License

This project is licensed under the MIT License. See the LICENSE file for details.