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+--- 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