42_Fractol is my project from 42's curriculum where we are first introduced to graphical programming through fractals. I thought fractals were an interesting topic to jump into due to the incredible depth of colors present in fractals and their almost infinite complexity.
Where do fractals come from?
Have you ever heard of complex numbers; those weird numbers that have a real and a complex part. Well if not, it's not that hard: basically when you plot numbers the x axis represent the real part and the y axis is the imaginary part. See, it's simple.
Now let's go a bit deeper, all numbers when squared infinetely can eitheir become divergent meaning they tend to the infinite...they explode!
2 becomes 4 becomes 16 becomes 256 becomes 65,536 ... 🚀💥
Other numbers such as 0.5 for example, when squared infinitely will never surpass 2 as a value. I will let you do the maths. Those numbers are convergent.
Now going back to fractals, a fractal is the graphical representation of all divergent points on a plot. If you want to learn more about this, check out Mandelbrot Painter
| Commands | Description | Fractals |
|---|---|---|
| C | change color scheme | ALL |
| F | change the constant's value for the Julia set | Julia |
| '+' | add iterations to the counter (only work for large keyboards) | ALL |
| '-' | minus iterations to the counter (only work for large keyboards) | ALL |
| Arrow key UP | move up the fractal image | ALL |
| W | move up the fractal image | ALL |
| Arrow key DOWN | move down the fractal image | ALL |
| S | move down the fractal image | ALL |
| Arrow key LEFT | move left the fractal image | ALL |
| A | move left the fractal image | ALL |
| Arrow key RIGHT | move right the fractal image | ALL |
| D | move right the fractal image | ALL |
| ZOOM In (mouse/trackpad) | zooms in the fractal image following the mouse | ALL |
| ZOOM Out (mouse/trackpad) | zooms out the fractal image following the mouse | ALL |
git clone git@github.com:PGCL1/42_Fractol.git
cd 42_Fractol/mlx && make
cd .. && make
./fractol [fractal-name] [iterations]Note
The Julia set can have two more params (see below):
./fractol [fractal-name] [iterations] [complex-real] [complex-imaginary]
# returns 'Mandelbrot set'
./fractol Mandelbrot
# returns 'Mandelbrot set at 30 iterations'
./fractol Mandelbrot 30
# returns 'Julia set 0.285 0 at 30 iterations '
./fractol Julia 30 0.285 0
