cquillet / fractol

a program to displays some fractals

fractol

You will need to download the libs project in the same directory you will clone fractol to run it

This is a program to draw fractals

usage: fractol (mandel[brot] | julia | burning | newton)

Available fractals/sets are :

• Madelbrot : { c ∈ ℂ, ∀n ∈ ℕ, |z_n| ≤ 2 } , with z_n+1 = z_n² + c , z₀ = 0
• Julia : { z₀ ∈ ℂ, ∀n ∈ ℕ, |z_n| ≤ 2 } , with z_n+1 = z_n^d + c , value of c can be changed by moving the mouse which animates the fractal (space bar to play/pause), the power d of the formula can be changed with the keys [ and ] (multi-Julia)
• Burning ship : { c ∈ ℂ, ∀n ∈ ℕ, |z_n| ≤ 2 } , with z_n+1 = ( |ℜe(z_n)| + ⅈ |ℑm(z_n)| )² + c , z₀ = 0
• Newton : { z₀ ∈ ℂ, ∀n ∈ ℕ, |z_n| ≤ 2 } , for a fixed polynomial P ∈ ℂ[X] , with z_n+1 = z_n - P(z_n) / P'(z_n), the used polynomial can be changed with the keys [ and ]

You can draw a box (click and drag) in order to zoom in (left click) or out (right click)

During the execution, press H to show a little help

Example of the zoombox in Julia set:

fractol julia