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Fractal Math, Chaos Theory & Research => Videos => Topic started by: trafassel on February 16, 2010, 10:18:11 PM




Title: Formula 21 (Julia Set Interpretation)
Post by: trafassel on February 16, 2010, 10:18:11 PM
http://www.youtube.com/watch?v=HbUFgdbDIiI&feature=player_embedded

for (n = 1; n < zkl; n++) {

   ai = 2 * ai * ar * aj + bi;
   aj = aaj - (aai + aar) / 2.0 +  bj;
   ar = aar - (aai + aaj) / 2.0 + br;
   aar = ar * ar; aai = ai * ai; aaj = aj * aj;
   d = aar + aai + aaj;
   if ((d) > gr) { tw = n; break; }

}

On the first part of the Video bi=bj=br=0.


Title: Pictures
Post by: trafassel on February 16, 2010, 10:20:13 PM
Ups, the pictures are from the "1000 iterations" thread.


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: kram1032 on February 16, 2010, 10:34:58 PM
A really nice Julia-animation :D I like it a lot!


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: trafassel on June 15, 2010, 09:06:58 PM
Same Julia dressed in red and blue.



Title: Re: Formula 21 (Julia Set Interpretation)
Post by: trafassel on June 18, 2010, 05:16:00 PM
Some Variants


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: trafassel on June 20, 2010, 11:49:33 PM
Formula 21 (Ide's Fractal) has some nice properties. Easy formula (only multiplication, addition and subtraction), repeating patterns at high zoom level and some nice parameters to play with. I's not a candidate for a "true 3d mandelbrot" (how could it? It only looks nice as julia), but definitely promising. I like it.

http://www.youtube.com/watch?v=0YEzdfOt1QU

(Rendered with Gestaltlupe).


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: kram1032 on June 21, 2010, 08:57:31 PM
really nice but:
This is already the second video in short time featuring swan lake. It's a great song and it fits very well but if there is a third one, it'll start to seem overused :)


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: trafassel on June 21, 2010, 10:33:23 PM
Cool,

this means, next time you want my 8 Bit Style music - created on C64 or Nintendo DS.


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: kram1032 on June 22, 2010, 12:13:49 PM
lol, well if it fits the fractal :)

Maybe something that looks like a bunch of 3Dpixels? :P


Title: Iterations
Post by: trafassel on June 23, 2010, 09:42:59 PM
Scene with 2,4,5 and 8000 iterations.


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: trafassel on June 23, 2010, 09:45:17 PM
3 iterations


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: trafassel on June 25, 2010, 10:34:33 PM
Das totale Miszverständnis:

http://www.youtube.com/watch?v=ZUuLdcHDwgw


Title: Re: Formula 21 (Julia Set Interpretation)
Post by: trafassel on July 02, 2010, 10:33:34 PM
I found an interesting detail in the corresponding mandelbrot variant.