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Fractal Math, Chaos Theory & Research => (new) Theories & Research => Topic started by: hgjf2 on September 20, 2014, 11:34:18 AM




Title: A new idea for a "true" 3D Mandelbrot fractal set:Mandelbrot salad.
Post by: hgjf2 on September 20, 2014, 11:34:18 AM
A Mandelbrot salad.
Is good idea.
I found a attempt to a salad Mandelbrot set as 3D Mandelbrot fractal set, if each bulb links would be rotate at 45` or other angle , the planes of bulbs.


Title: Re: A new idea for a "true" 3D Mandelbrot fractal set:Mandelbrot salad.
Post by: hgjf2 on September 20, 2014, 11:35:09 AM
A Mandelbrot salad.
Is good idea.
I found a attempt to a salad Mandelbrot set as 3D Mandelbrot fractal set, if each bulb links would be rotate at 45` or other angle , the planes of bulbs.



Title: Re: A new idea for a "true" 3D Mandelbrot fractal set:Mandelbrot salad.
Post by: hgjf2 on September 20, 2014, 11:35:49 AM
Other


Title: Re: A new idea for a "true" 3D Mandelbrot fractal set:Mandelbrot salad.
Post by: hgjf2 on September 20, 2014, 11:39:18 AM
Those are my two perspective images for this my 3D Mandelbrot set: One isometric, and one epure with front, left nd up view.

This Mandelbrot not contain Julia sets, and yet not have formula for render.
Those 2D bulbs was rotate each with 45` from axes tangent with both bulbs.


Title: Re: A new idea for a "true" 3D Mandelbrot fractal set:Mandelbrot salad.
Post by: Alef on September 20, 2014, 03:23:55 PM
???


Title: Re: A new idea for a "true" 3D Mandelbrot fractal set:Mandelbrot salad.
Post by: kram1032 on September 23, 2014, 03:03:44 AM
are you talking about the connection between the M-Set and the logistic bifurcation map? I am absolutely positive that this already was tried in this forum.

(i.e. you'd have your normal M-set in the x/y axes and your z-axis is a bifurcation map associated with the corresponding point. It causes a leaf-like structure.)


Title: Re: A new idea for a "true" 3D Mandelbrot fractal set:Mandelbrot salad.
Post by: hgjf2 on October 05, 2014, 10:29:47 AM
No. Isn't logistik map.
The 2D bulbs was rotated at pi/4 as example, like at IFS 3D fractal branches.
This epure picture (my second picture) present 3 perspectives: up view, front view and left view


Title: Re: A new idea for a "true" 3D Mandelbrot fractal set:Mandelbrot salad.
Post by: Alef on October 24, 2014, 04:12:47 PM
Slightly too short description.
Did you meant 3D IFS like "tru 3D mandelbrot".