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Author Topic: The trapped hexabrot I  (Read 991 times)
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Kali
Fractal Supremo
*****
Posts: 1138


« on: February 27, 2011, 12:05:52 AM »

The trapped hexabrot I



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=5867

I was going to start a thread on this, but as you may know I'm saying goodbye to the forum and to the fractal world for a while, because of personal issues, and I can't continue my researchs as for now.

I know that I've said goodbye already, but I decided to show this as someone perhaps will be interested in this results and maybe will want to continue developing and improving my work.

This is my "hexabrot" formula, made of combining 4 mandelbrots aligned to the z-axis, and rotated by 45 degrees of separation from each one. Then I used what I call a "modulus trap". Instead of the bailout condition of tending to infinity, I look for a target value using a treshold (or tolerance). So if the modulus gets close to that number by a certain distance, the point is inside the set.

The image was rendered with Gestaltlupe, a nice program made by trafassel, that let me use my own formulas by coding then in C++

If you are interested in the formula & method, and also the param file for Gestaltlupe, send me a PM and I will receive a notification of your message in my personal email.

Now I'll post one more and say goodbye... again!  embarrass
« Last Edit: February 27, 2011, 12:18:44 AM by Kali » Logged

weavers
Fractal Phenom
******
Posts: 434


« Reply #1 on: March 01, 2011, 05:44:29 AM »

 I have enjoyed your sharing the results of your research and you will be missed by many; but fear not ,you will not be  forgotten, for you have demonstrated the unique insight and robust dynamics of your minds realms versatility in exploration, knowingly or unknowingly in the universal confluences in formulas that ultimately will lead to the opening up of the doors of the frontier to alternate states in the forth dimension that hereto fore were obscurated because of the preponderance of ignorance inherent in our specie. But the culprit of ignorance shall be surmounted thanks to the work you have initiated and accomplished. Sir Kali.you are an un-song hero to all but the few of us who can see. thank you. please post the formula and methodology utilized to enlighten your followers. Each party shall afford the other party access to self similarity in infinity and thus immortality.
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