The concept of fractals was introduced by mathematician Benoit Mandelbrot in 1974, inspired by the Latin word fractus, meaning "broken" or "fractured." Fractals are mathematical objects that display self-similarity at different scales, and their intricate patterns can be found both in abstract mathematics and in nature, such as in Romanesco broccoli or coastlines.
This project, developed as part of the School 42 curriculum, is designed to help students explore the fascinating world of fractals while learning about graphical programming and mathematical concepts like complex numbers. By implementing and visualizing various fractal sets, students gain hands-on experience with algorithms, optimization, and event-driven programming using the miniLibX graphics library.
A fractal is an object of mathematical abstraction, such as a curve or surface, that retains a similar pattern regardless of scale. Several natural phenomena such as Romanesco have some of the characteristics of fractals.
This project consists of multiple fractals:
- Mandelbrot (M)
- Julia (J)
- BurningShip (B)
- Mandelbox (X)
$> make
$> ./fractol M
$> ./fractol J
$> ./fractol B
$> ./fractol X
$> ./fractol J <number> <i_number>
$> ./fractol M <color>
$> ./fractol J <color>
$> ./fractol J <number> <i_number> <color>
$> ./fractol B <color>
$> ./fractol X <color>
Colors List:
- White: FFFFFF
- Black: 000000
- Red: FF0000
- Green: 00FF00
- Blue: 0000FF
- Yellow: FFFF00
- Zoom: Use the mouse wheel to zoom in and out. The zoom will focus on the point under the mouse cursor, allowing you to explore specific areas of the fractal in detail.
This new project will be an opportunity to get familiar with miniLibX (complex function library provided by school 42). In addition, it will be essential for us to know and apply the mathematical notion of complex numbers and let's take a look to the concept of CGI optimization and event management.
-Born2code
