Fractal Videos

[Charles Pegge]

Fern Fractal



Mandelbrot




Mandelbrot, Much bigger than the universe! deep zoom 2^316


MandelBulb

3D Mandelbulb Ray Tracer
http://www.subblue.com/projects/mandelbulb
YouTube



3D Mandelbulb power 8 growth



Fractales en la naturaleza

[Petr Schreiber]

Gracias Charles,

I haven't heard spoken Spanish for a while, very refreshing.
I liked the other videos as well, the 3D fractals are very impressive.

The 2D ones are nice too, but they have too strong hypnotic effect when using complete color spectrum.


Petr

[Charles Pegge]

Hi Petr,

Some links and notes on the MandelBulb:


http://brainwagon.org/2009/11/16/mandelbulb-formula/
http://www.fractalforums.com/3d-frac...pe-fractal/30/
http://forums.nvidia.com/index.php?showtopic=150985

(x, y, z)n = rn (cos(n θ) cos(n φ), sin(n θ) cos(n φ), -sin(n φ))
r = sqrt(x2 + y2 + z2)
θ = atan2(y, x)
φ = atan2(z, sqrt(x2+y2))

computer-friendly algorithm --->

newx = ( x*x + y*y - z*z )*( x*x - y*y) / ( x*x + y*y )
newy = 2 * ( x*x + y*y - z*z )*x*y / ( x*x + y*y )
newz = 2 * z * sqrt( x*x + y*y )