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Mandelbrot ABS Variations Complete Set of Formulas by Kosmic-Stardust Mandelbrot ABS Variations Complete Set of Formulas by Kosmic-Stardust
Complete Set of 12 Fractals, created by adding abs() commands to the standard form Mandelbrot fractal, and flipping the signage the imaginary side. The Asymmetric fractals such as Burning Ship and Buffalo have chiral pairs, created by reversing the signage on the imaginary side. Because these fractals create mirror images of each other, I have omitted them. The total including these dulpicates would make a set of 16. Negating the real side only generates duplicates of existing fractals with the needle pointing east. Those variants are also omitted.

Most of these formulas are available in plugins for Fractal Extreme, created by Panzerboy in 2012. I supplied all the formulas in the fxmandelbarperp plugin.
sourceforge.net/projects/fxabs…
sourceforge.net/projects/fxmnd…

Feel free to incorporate any of the above fractal formulas in your own software.

Update:
Kalles Fraktaler was nice enough to add most of my formula to his awesome software:
www.chillheimer.de/kallesfrakt…

See Also:

2nd Order ABS Formula:
stardust4ever.deviantart.com/a…

3rd Order ABS Formula:
stardust4ever.deviantart.com/a…

4th Order ABS Formula:
stardust4ever.deviantart.com/a…

5th Order ABS Formula:
stardust4ever.deviantart.com/a…

Happy rendering! ;)
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:iconchillheimer:
chillheimer Featured By Owner Oct 5, 2017  Hobbyist Digital Artist
hey stardust, thx for this!
I remember seeing a video animation circling through all these at fractalforums.com, but I can't find it anymore - was that from you? if yo, do you have a link perhaps?
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:iconkosmic-stardust:
Kosmic-Stardust Featured By Owner Oct 6, 2017
I have no idea. Like, a zoom movie, or morphing from one formula o another?
Reply
:iconchillheimer:
chillheimer Featured By Owner Dec 24, 2017  Hobbyist Digital Artist
claude just found a tiny version of it over at fractalforums.org:
i.imgur.com/Zc3GrWv.gif
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:iconchillheimer:
chillheimer Featured By Owner Oct 10, 2017  Hobbyist Digital Artist
no zoom involved, a full-view of the burning ship, where the tip on the x-axis slowly rotated 360 degrees, morphing the black area into different shapes, so you could see that the burning ship, celtic and if I remember correctly even the mandelbrot-set are basically just variation of the same formula.
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:iconkaleidogal:
Kaleidogal Featured By Owner Jun 5, 2017
A wealth of information, thanks!
Reply
:iconkallesfraktaler:
KallesFraktaler Featured By Owner Nov 3, 2014
Excellent, thanks for all these formulas!
Reply
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