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Fractal Math, Chaos Theory & Research => Theory => Topic started by: msltoe on June 07, 2010, 03:06:11 AM




Title: Juliabulb with "octahedral" transform ~ sphereflake?
Post by: msltoe on June 07, 2010, 03:06:11 AM

 It seems that the standard juliabulb formula with the following "octahedral" transform leads to a sphereflake-like fractal.
 The Mandelbrot, version, as always, is not so pretty.

iterate on:

  if (x*x<y*y) {d=x;x=y;y=d;}
  if (y*y<z*z) {d=y;y=z;z=d;}
  if (x*x<z*z) {d=x;x=z;x=d;}

  <standard mandelbulb order 2>
  x=x-0.8; y=y;z=z;

and you get the following, which looks a lot like the sphereflake fractal, but not quite...
(http://www.fractalforums.com/gallery/2/803_07_06_10_2_57_48.jpeg)


Title: Re: Juliabulb with "octahedral" transform ~ sphereflake?
Post by: Timeroot on June 07, 2010, 04:12:47 AM
I wanna nestle inside one of those! Find a nice shady place, take a good book... :-)


Title: Re: Juliabulb with "octahedral" transform ~ sphereflake?
Post by: KRAFTWERK on June 14, 2010, 12:00:52 PM
Beauty!


Title: Re: Juliabulb with "octahedral" transform ~ sphereflake?
Post by: kram1032 on June 14, 2010, 01:47:28 PM
It's a sphere flake tree planet :D

Indeed very inviting!


Title: Re: Juliabulb with "octahedral" transform ~ sphereflake?
Post by: DarkBeam on March 13, 2011, 12:14:02 AM
 :o

ASTOUNDING! Yeehaw, this is marvellous indeed