• October 16, 2021, 04:38:31 PM

Author Topic:  Mandelbrot 3D: Mandelnest  (Read 5567 times)

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Offline Alef

  • Fractal Flamingo
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  • a catalisator / z=z*sinh(z)-c^2
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Re: Mandelbrot 3D: Mandelnest
« Reply #135 on: May 27, 2021, 12:47:54 AM »
mclarekin
Maybe try this, too. Maybe not very sophisticated but must be quite powerfull.
https://fractalforums.org/share-a-fractal/22/mandelbrot-3d-mandelnest/4028/msg28332#msg28332
Looking like this:
https://fractalforums.org/share-a-fractal/22/mandelbrot-3d-mandelnest/4028/msg28324#msg28324

In my experience norms is good with conditionals as p=1 is mutch faster than euclidian p = 2 which is faster than p=3. I think some of those norms of this thread could be tested for mandelbox formula sphere inversion. But there must be more and mathematicaly corect norms than just that, wikipedia have some 10 pages on different spaces with own norms.
a catalisator / z=z*sinh(z)-c2

Offline hobold

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Re: Mandelbrot 3D: Mandelnest
« Reply #136 on: May 27, 2021, 12:55:25 AM »
Any norm has a corresponding "circle" (or sphere, depending on dimension, or hypersphere, etc.). I think any convex "sphere" can generate a consistent norm. I don't think non-convex shapes can be the foundation of a proper norm, but I might be wrong. And even then, non-convex shapes perhaps could still be used for artistic purposes, even if they lack some abstract qualities of a norm.