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Welcome to Fractal Forums > Fractal Math, Chaos Theory & Research > Mandelbrot & Julia Set > The 3D Mandelbulb > Multiple Power 2 Mandelbulbs?
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Author Topic: Multiple Power 2 Mandelbulbs?  (Read 2914 times)
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asimes
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« on: March 05, 2012, 06:17:57 AM »
I've been looking at different formulas for making Mandelbulbs lately and noticed that they seem to make fairly different looking power 2 fractals. Is this normal or am I copying them incorrectly? If this is normal are they considered to be different fractals or just different ways to "think" of a Mandelbulb?

Some examples (taken from bugman's website as my renderings are not nearly up to par yet): http://bugman123.com/Hypercomplex/
- My favorite: http://bugman123.com/Hypercomplex/Mandelbulb1-large.jpg
- Looks like a new code variation I made: http://bugman123.com/Hypercomplex/Mandelbulb-Cosine-large.jpg
- Not sure? http://bugman123.com/Hypercomplex/MandelbulbZ-large.jpg

- From my own exponentiation code that I generalized based on this tutorial (correctly makes a power 8 Mandelbulb, makes this weird power 2 Mandelbulb): http://www.skytopia.com/project/fractal/mandelbrot.html#pandora
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jehovajah
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« Reply #1 on: April 24, 2012, 02:37:22 AM »
Yes, this is entirely normal. The Mandelbrot set only looks the same for the identical process that produces it. Change the process and you change the look of the set. In 3d however the situation is even more diverse, as there are more parameters to change, and more surfaces to calculate.

What is amazing about the Mandelbulb is that we can recognise its connection to the Mandelbrot configuration despite all the hairiness and other artifacts. The exploration of the Mandelbulb, is a mind expanding experience to teach us to not be so sure we know what a thing is or is not, but to recognise the dynamic relationship between the "soul" of a thing, and the defining boundaries we necessarily use.
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May a trochoid of ¥h¶h iteratively entrain your Logos Response transforming into iridescent fractals of orgasmic delight and joy, with kindness, peace and gratitude at all scales within your experience. I beg of you to enrich others as you have been enriched, in vorticose pulsations of extravagance!
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