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"Mandelbulb," a 3D Mandlebrot Construct, Discovered
symbolset writes "Many know the beauty and complexity of the Mandelbrot set. For some years now a few enterprising mathematicians / rendering fiends have been seeking a true 3D Mandelbrot set. A month ago a solution was found, and it is awesome to behold."
While the Mandelbrot set as usually defined is 2D, each point has an associated Julia set, where instead of the additive constant, the starting point is varied (the original Mandelbrot set always uses zero as starting point). Together, they give a 4-dimensional set, where two dimensions are given by the starting point (zr, zi), and the other two by the additive constant (cr, ci). The original Mandelbrot set is a cut through this 4D set at the plane zr=zi=0, while the Julia sets are cuts orthogonal to theat, at planes with constant cr and ci.
The Tao of math: The numbers you can count are not the real numbers.
It's definitely nifty, the pictures are beautiful, and the creator deserves praise, but the author himself says it's probably not a "true" 3D Mandelbrot:
http://www.skytopia.com/project/fractal/2mandelbulb.html#epilogue
As exquisite as the detail is in our discovery, there's good reason to believe that it isn't the real McCoy. ... ...
Evidence it's not the holy grail? Well, the most obvious is that the standard quadratic version isn't anything special. Only higher powers (around after 3-5) seem to capture the detail that one might expect. The original 2D Mandelbrot has organic detail even in the standard power/order 2 version. Even power 8 in the 3D Mandelbulb has smeared 'whipped cream' sections, which are nice in a way as they provide contrast to the more detailed parts, but again, they wouldn't compare to the variety one might expect from a 3D version of Seahorse valley.
So, Slashdot, I know this is asking a lot, but can you PLEASE at least read the article before posting? Thanks.
That ruined it for me.
You could put it in a horror movie and make it pulsate.
What are they trying to do, make up some 3D fractal that just looks like the mandelbrot? This mandelbulb seems pretty arbitrary, and the whole point of the story seems to be that they've found a good one, not that they've found any kind of "true" solution.
I wonder if we'll ever reach the point where we will be able to define, with equations and rules, a sea slug using the principles of cellular automata?
Weird, I definitely saw that thing after taking acid once, in fact I floated though it for quite a while. It may look all pretty on your screen, but that shit put me off drugs for life, man.
Oh no... it's the future.
Here's a 7500x7500 (56 megapixel) image of the fractal: http://seadragon.com/view/fnr.
main(c,r){for(r=32;r;) printf(++c>31?c=!r--,"\n":c<r?" ":~c&r?" `":" #");}
Seems to be slashdotted, cached version: http://www.skytopia.com.nyud.net:8090/project/fractal/mandelbulb.html
* Several monkeys are here, playing banjos and wearing small hats.
No, Bob Howard at the Laundry already confirmed this one was ok. However, this is perilously close to the Turing-Lovecraft theorem which the public isn't supposed to know ab n34pnt!@!$ *NO CARRIER*
If that's the case, it's been a sad day since at least 1984. These things teach us interesting things about numbers and are interesting in and of themselves. As a way of making math more visually beautiful they also serve to draw the interest of youth to a field ordinarily seen as dry and boring.
Help stamp out iliturcy.
cool, nice to see my images linked on slashdot :) hopefully we'll have some gpu-accelerated results to show you all soon (and for those with opencl supporting cards, executables).
btw interested parties might like to check out my 3840x2400 resolution render of the 7th degree version here: http://lyc.deviantart.com/art/siebenfach-139038934 (it's buried deep in the thread, and fractalforums is creeking a bit)
With a message saying Page cannot be displayed. Not that impressive.
Did you try zooming in?
"I like to lick butts!" by MobileTatsu-NJG (#32700246) (Score:5, Informative)
for scientific screensaverology
intellectual property law is philosophically incoherent. it is your moral duty to ignore it or sabotage it
A very nice open source app, available through the Ubuntu/Debian repositories. The author's page even got a windows version.
It supports multi-core CPUs, i.e. if you really want to tax each of your CPU's core to the limit, just use the app to browse through the mandelbrot set. It also supports a 3D extrapolation of the 2D set (OpenGL and software).
Strangely enough it doesn't seem all that popular, as the forum doesn't seem all that populated..
And when you gaze long enough into the code, the code will also gaze into you.
Did you try zooming in?
It's 404s all the way down.
sig's not here
The common Mandelbrot set is really a 2-dimensional slice of a 4-dimensional object identified by both the combination of the complex numbers Z0 and C in the canonical Zn+1 = Zn^2 + C. The mandelbrot set lives in the plane where Z0 = 0 + 0i, while the Julia sets live on infinitely-many-squared orthogonal planes in the remaining two dimensions, each one intersecting Mandelbrot's plane in a single point of complex coordinates C.
Visualizing this hyperspace monster was made easy by POV-Ray. It took my computer two week of computation to render 80 seconds of animated 3D slices of a the quaternion. Check out the scene source.
/me looks forward for a real-time Julia4D explorer.
Bernie Innocenti - http://codewiz.org/
*Burp*
And tasty they were, too.
Bill - aka taniwha
--
Leave others their otherness. -- Aratak