Buddhabrot QuasiJulia set

Alef

Fractal Supremo

Posts: 1174

Buddhabrot QuasiJulia set

« on: December 21, 2012, 05:59:04 PM »

Well, there are no good buddhabrot julia sets. It allways generates some boring dots or rings of no value. Probably becouse all orbits are linear and exactly linear repeats the same pattern in all scales.

But with slight modification (mix of julia set and mandelbrot set).
Starting conditions:
z=randompixel
c=julia seed + randompixel
(mset -> z=0, c=randompixel; julia -> z=randompixel, c= julia seed.)
Iteration loop:
z=formula(z)+c.

Orbits are much more fractaling.

Celtic Mandelbrot

Bumblebrot

Magnet II. IMHO, looks the most julia like:

Royal Mandelobrot. This is dharmic:

Rendered with my brahmabrot buddhabrot version. http://www.fractalforums.com/fractal-programs/problems-with-implementing-budhabrot-in-uf/
Realy hadn't much time to search for good julia seed, so some are too chaotic.
So far it is uploaded only in Chaos Pro, but eventualy 'll be in Ultra Fractal EM.ucl as Brahmabrot http://www.chaospro.de/formulas/display.php?fileid=238


« Last Edit: December 21, 2012, 06:01:54 PM by Alef »	Logged

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Alef

Fractal Supremo

Posts: 1174

Re: Buddhabrot QuasiJulia set

« Reply #1 on: December 26, 2012, 07:31:36 PM »

Two more quasi julia sets. Not a real julia sets, but something like M-sets broken with julia seeds, throught they adds more variance in buddhabrots. This definetely don't increase render speed.

Swirlbrot with julia seed.

And a zoom into normal mandelbrot formula with julia seed, revealing some very common fractal patterns othervise unseen with buddhabrots.


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hgjf2

Fractal Phenom

Posts: 456

Re: Buddhabrot QuasiJulia set

« Reply #2 on: December 27, 2012, 09:15:36 AM »

Amazing and beutiful Julia Set made BUDDABROT set as the fractal what must go to NIRVANA.
sweet music


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Alef

Fractal Supremo

Posts: 1174

Re: Buddhabrot QuasiJulia set

« Reply #3 on: December 27, 2012, 05:52:14 PM »

Thanks for kind words and dithyrambs:)

The same z=z^2+c spot and seed, but with sinus as colour transformation. Lines suddenly here become very noticable. Not shure what they represent.

http://www.fractalforums.com/index.php?action=gallery;sa=view;id=13056


« Last Edit: December 27, 2012, 05:53:54 PM by Alef »	Logged

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	Author	Topic: Buddhabrot QuasiJulia set (Read 3668 times)
		Description: Not quite a julia, more like julia + mset, so I called this Quasi Julia Set.
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it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval, thanks and see you perhaps in 10 years again

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thanks and see you perhaps in 10 years again