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Fractal Math, Chaos Theory & Research => General Discussion => Topic started by: flexiverse on April 12, 2013, 03:07:21 AM




Title: New mandel box formula ideas
Post by: flexiverse on April 12, 2013, 03:07:21 AM
I was thinking about the mandel box.

zn+1=scale∗spherefold(boxfold(zn))+c


The sphere fold is a conformal mapping.

So in theory in can be replaced any other type of conformal mapping right ?


zn+1=scale∗ conformal mapping (boxfold(zn))+c

Here are some:

http://mathworld.wolfram.com/ConformalMapping.html

Just wondering what kind of new mandel boxes that would produce !?


Title: Re: New mandel box formula ideas
Post by: cKleinhuis on April 12, 2013, 04:15:33 AM
that is right, the idea of the mandelbox was to unify all shape-preserving transformations,
any oter conformal mapping could lead to extraordinary results, please try it ;)