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Fractal Math, Chaos Theory & Research => The 3D Mandelbulb => Topic started by: DarkBeam on December 30, 2016, 11:36:17 AM




Title: Semi-Conformal tetrahedral pow 3?
Post by: DarkBeam on December 30, 2016, 11:36:17 AM
Question to Tglad  :angel1:
Can you kindly provide us the power 3 variant (and/or general int power) of your nice formula? I tried but I am not really satisfied with my result, please heeelp  :'(


Title: Re: Semi-Conformal tetrahedral pow 3?
Post by: M Benesi on December 30, 2016, 09:54:05 PM
What's the original formula?


Title: Re: Semi-Conformal tetrahedral pow 3?
Post by: DarkBeam on December 30, 2016, 11:02:52 PM
Matthew you are welcome to try. But it is kind of complicated

http://www.fractalforums.com/index.php?topic=20778.msg80517#msg80517


Title: Re: Semi-Conformal tetrahedral pow 3?
Post by: Tglad on January 01, 2017, 01:37:00 AM
Hi darkbeam, I think the answer is that there is no power 3. In fact it's probably only referred to as power 2 as it is similar to the Mandelbulb power 2 (and even that is only loosely linked to actual powers on fields such as on complex numbers).
But 'power' 4, 8 etc are possible by just repeating the transform.


Title: Re: Semi-Conformal tetrahedral pow 3?
Post by: DarkBeam on January 01, 2017, 09:30:43 AM
Sorry if I insist but I saw those images: http://www.fractalforums.com/the-3d-mandelbulb/a-new-3d-mandelbrot-like-fractal/msg9947/#msg9947

It was pretty! :)


Title: Re: Semi-Conformal tetrahedral pow 3?
Post by: Tglad on January 01, 2017, 11:31:59 AM
Hey, maybe it is possible then... or maybe I meant power 4... you could try doing the power 2 operation twice and see if it looks like those pictures.


Title: Re: Semi-Conformal tetrahedral pow 3?
Post by: DarkBeam on January 01, 2017, 02:46:09 PM
I have tried but maybe I will try again soon ;D


Title: Re: Semi-Conformal tetrahedral pow 3?
Post by: M Benesi on January 03, 2017, 03:25:14 AM
Thx.  :D