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Author Topic: Juliabulb with "octahedral" transform ~ sphereflake?  (Read 2434 times)
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msltoe
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« 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...
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Timeroot
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The pwnge.


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« Reply #1 on: June 07, 2010, 04:12:47 AM »

I wanna nestle inside one of those! Find a nice shady place, take a good book... :-)
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Someday, man will understand primary theory; how every aspect of our universe has come about. Then we will describe all of physics, build a complete understanding of genetic engineering, catalog all planets, and find intelligent life. And then we'll just puzzle over fractals for eternity.
KRAFTWERK
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Virtual Surreality


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« Reply #2 on: June 14, 2010, 12:00:52 PM »

Beauty!
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kram1032
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« Reply #3 on: June 14, 2010, 01:47:28 PM »

It's a sphere flake tree planet cheesy

Indeed very inviting!
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DarkBeam
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Fragments of the fractal -like the tip of it


« Reply #4 on: March 13, 2011, 12:14:02 AM »

 shocked

ASTOUNDING! Yeehaw, this is marvellous indeed
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No sweat, guardian of wisdom!
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