Fractal Videos

[Charles Pegge]

Fern Fractal

http://www.youtube.com/watch?v=-87kzUqyiss&feature=response_watch

Mandelbrot

http://www.youtube.com/watch?v=oez7Zv913eg&feature=channel
http://www.youtube.com/watch?v=G_GBwuYuOOs&NR=1

Mandelbrot, Much bigger than the universe! deep zoom 2^316
http://www.youtube.com/watch?v=2tRdLD6vh3g&NR=1

MandelBulb

3D Mandelbulb Ray Tracer
http://www.subblue.com/projects/mandelbulb
YouTube
http://www.youtube.com/watch?v=vqkPjpU6bsA
http://www.youtube.com/watch?v=x81lv4xfyNo&NR=1
http://www.youtube.com/watch?v=hwnAKFlXmtA&NR=1
3D Mandelbulb power 8 growth
http://www.youtube.com/watch?v=vzvG3Ona8dE&NR=1&feature=fvwp


Fractales en la naturaleza

http://www.youtube.com/watch?v=uas_HJNAzfw&feature=related

[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-fractal-generation/true-3d-mandlebrot-type-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 )