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Fractal Math, Chaos Theory & Research => General Discussion => Topic started by: visual.bermarte on April 16, 2010, 11:08:03 AM




Title: a question about mandelbulbs's negative power
Post by: visual.bermarte on April 16, 2010, 11:08:03 AM
Is it possible that using negative-power one can see what is it inside a mandelbulb?
Or am I wrong?
I think I can see the negative-bulb like an inside-out  glove; if I'm wrong what is it exactly a negative-power of a mandelbulb?
Is it possible to have an inside.out mandelbulb?
Thanx


Title: Re: a question about mandelbulbs's negative power
Post by: visual.bermarte on April 16, 2010, 11:16:35 AM
For example in this image you see negative power of a bulb
(http://fc04.deviantart.net/fs70/i/2010/099/5/8/regular_negative_mndlblb_bll_by_bermarte.jpg)
here is the positive-power of the same bulb
(http://fc09.deviantart.net/fs70/f/2010/086/6/6/olive_1_by_bermarte.jpg)


Title: Re: a question about mandelbulbs's negative power
Post by: David Makin on April 16, 2010, 12:18:51 PM
Hi, first of all for a plain Mandelbulb of the form z^p+c where p is negative then the current rendering methods are not really geared to producing correct images. Secondly, no the negative powers are not just the inside-out versions of the positive ones. To view the positive powers from the "inside" is a lot more tricky than viewing from the "outside" but not impossible - as some of Daniel White's renders have shown.
Also in the case you have given example renders for it would appear that your renders are actually Mandelbox/Mandelbulb mixes and they are a different beast altogether :)


Title: Re: a question about mandelbulbs's negative power
Post by: visual.bermarte on April 16, 2010, 03:18:21 PM
Thank you David.

Can I find a rendering of the internal part of a negative mandelbulb?
Is it possible to apply mandelbox's cubic folding on the surface of a negative mandelbulb (mandelbulb-box-mix like the one on the pictures).
Thanx in advance


Title: Re: a question about mandelbulbs's negative power
Post by: KRAFTWERK on April 16, 2010, 04:44:02 PM
Daniel White has a few at his site, "B"  O0:

http://www.skytopia.com/project/fractal/mandelbulb.html

One favourite of mine, the spine:
(http://www.skytopia.com/project/fractal/new/q85/Mandelbrot-Crustacean-small.jpg)

Link to Daniels image of "the inside":

http://www.skytopia.com/project/fractal/new/full/q30/PeekInsideSIDEview.jpg

J



Title: Re: a question about mandelbulbs's negative power
Post by: reesej2 on April 16, 2010, 08:13:12 PM
A negative-power Mandelbulb is certainly worth exploring (I know that negative-power Mandelbrot sets are very interesting, though certainly not inside-out versions of positive-power Mandelbrots). But if it's an inside-out view you want, just call a point "solid" if it's OUTSIDE the set instead of inside.