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!
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!

:origin()/pre00/234e/th/pre/f/2014/292/b/d/mandelbrot_abs_variations_complete_set_of_formulas_by_stardust4ever-d81yycs.png)
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?
i.imgur.com/Zc3GrWv.gif