 Plotting beyond mandelbrot - Printable Version +- Tetration Forum (https://math.eretrandre.org/tetrationforum) +-- Forum: Tetration and Related Topics (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=1) +--- Forum: Mathematical and General Discussion (https://math.eretrandre.org/tetrationforum/forumdisplay.php?fid=3) +--- Thread: Plotting beyond mandelbrot (/showthread.php?tid=1023) Plotting beyond mandelbrot - tommy1729 - 08/19/2015 In analog to mandelbrot fractals let our starting values be x_0,x_1. Let p1,p2 be polynomials of degree 2 or 3. Now we define the recursion X_n = p1(x_{n-1}) + p2(x_{n-2}) Now let x_0,x_1 be simple functions of z. To keep it simple say x_0 = 0 , x_1 = z. Then color the plane according to Lim n -> oo X_oo(z) In case of divergeance use black. (Or larger then say 10^131 after Some steps) This should give Nice pictures i assume. Does it look like a fractal in most cases ? If it does not look like a fractal, what does it look like ? Some pictures are appreciated. Regards Tommy1729