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About Deviant Member Ay Jay Will-YamsMale/United States Recent Activity
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Cubic Mandelbrot ABS Variations Incomplete by stardust4ever
Cubic Mandelbrot ABS Variations Incomplete
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.

See also my 2nd order formula collection:
Mandelbrot ABS Variations Complete Set of Formulas
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Mandelbrot ABS Variations Complete Set of Formulas by stardust4ever
Mandelbrot ABS Variations Complete Set of Formulas
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.

See also my collection of 3rd order formulas:
Cubic Mandelbrot ABS Variations Incomplete
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deviantID

stardust4ever
Ay Jay Will-Yams
United States
It's-a-me, Mario!

Oct 30, 2009

Current Residence: Northern LA (NOT Los Angelos; I mean the state next to Texas!)
deviantWEAR sizing preference: XXL
Print preference: Giant Wall Mural
Favourite genre of music: Classic Rock, Pop (80s-present). 90s Hip Hop + R&B
Favourite style of art: 3D
Operating System: Vista64, WinXP, OSX (Intel)
MP3 player of choice: Cowon A3 (down with iPod!)
Shell of choice: Hermit
Wallpaper of choice: Lime Green w/ Pink Polka Dots (just kidding)
Skin of choice: My birthday suit :-D
Favourite cartoon character: Homer Simpson, Wile E. Cyote, Princess Peach
Personal Quote: "On the Road of Life, Always Look for a Rainbow at the End of Every Storm" - Mom
Interests
Well, I just noticed when I looked at my profile, that I had reached that milestone of 5000 page views. Not much for five years of DA membership, but it's still great to know people are at least occasionally viewing my work. Well, here's some fractal boobies to celebrate:

Fractal Boobies - Burning Ship Cropped Scaled by stardust4ever

Other news...
* Magnum Opus Ex fractal stardust4ever.deviantart.com/a… had my render machine tied up for months (Now I'm attempting to do a zoom movie)
* I'm still in freakkin' college (at this rate, will I ever finish?)
* Still engaged to my sweet fiance Paula! (9+ years of sweet memories and going strong)
* I turned 31 three weeks ago; another year gone by...

Anyway, take care Y'alls, and thanks for your continued support for 5+ years!

* Oh, and Happy Valentine's Day!!! :kiss:
  • Mood: Egghead
  • Listening to: SiriusXM Classic Rewind
  • Playing: Super Mario 3D Land / MK7 (3DS)
  • Eating: Huddle House (late night)
  • Drinking: Black Coffee

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:iconfractalmonster:
FractalMonster Featured By Owner Jan 24, 2014
:iconbouquetplz: :iconbouquetplz: :iconhappybirthdaysignplz: :iconstardust4ever: :iconhappybirthdaysignplz::iconcakeplz: :iconcakeplz:
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:iconfractalmonster:
FractalMonster Featured By Owner Jan 24, 2013
:cake: :cake: :cake: :iconhappybirthdaysignplz: :iconstardust4ever: :iconhappybirthdaysignplz: :iconballoonsplz2: :iconballoonsplz2:
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:iconchucorose:
ChucoRose Featured By Owner May 16, 2012  Hobbyist Artist
Thanx for the llama and the watch
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:icondinkydauset:
DinkydauSet Featured By Owner Mar 7, 2012  Hobbyist Digital Artist
Thank you for watching me!
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:iconstardust4ever:
stardust4ever Featured By Owner Mar 7, 2012
You're welcome. I also buddied you on fractalforums too!
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:iconsketchbook-dancer88:
Sketchbook-Dancer88 Featured By Owner Feb 28, 2012  Student Traditional Artist
Yo, thanks for the fave! :)
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:iconfractalmonster:
FractalMonster Featured By Owner Jan 24, 2012
:cake: :cake: :cake: :iconhappybirthdaysignplz: :iconstardust4ever: :iconhappybirthdaysignplz: :iconballoonsplz2: :iconballoonsplz2:
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:iconstardust4ever:
stardust4ever Featured By Owner Jan 27, 2012
Thank you so much!
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:iconfractalmonster:
FractalMonster Featured By Owner Jan 27, 2012
My pleasure :aww: Hope you had a wonderful day :)
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:iconivankorsario:
ivankorsario Featured By Owner Dec 29, 2011  Hobbyist General Artist
Thanks friend
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