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Cubic Mandelbrot ABS Variations Incomplete by Kosmic-Stardust Cubic Mandelbrot ABS Variations Incomplete by Kosmic-Stardust
Similar to the Quadratic Mandelbrot equations, variations cand be produced by optionally adding abs() commands to various portions of the equation, as well as optionally negating the real or imaginary sides. These fractals belong to a superset with 64 possible combinations, many of which are duplicates and many of which are "junk". I have not cataloged all 64 combinations, so many fractals are as of yet undiscovered. Here are the more interesting 3rd order fractal variants I have cataloged so far.

I'm taking credit for discovering the Quasi Burning Ship and Quasi Perpendicular. I called them "Quasi" because of their physical resemblance to the 2nd order fractals by the same name. If anyone knows of prior art concerning these two fractals, please let me know and I'll give credit for codiscovery. The Quasi Burning Ship is a hybrid of the Cubic Burning ship and the Cubic Buffalo. Chillheimer was nice enough to add my Cubic Quasi Burning Ship formula to the Kalles Fraktaler Deep Zoom software:
www.chillheimer.de/kallesfrakt…

The Cubic Burning Ship and Cubic Buffalo are also available in Kalles Fraktaler, as well as Fractal Extreme plugins by Panzerboy.
sourceforge.net/projects/fxbsh…

Feel free to use any of the above formulas in your software or art.

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! ;)
:iconkallesfraktaler:
KallesFraktaler Featured By Owner Nov 3, 2014
Excellent, thanks for all these formulas!
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October 19, 2014
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