The Mandelbulb: first 'true' 3D image of famous fractal

NewScientist.com: It may look like a piece of virtuoso knitting, but the makers of an image they call the Mandelbulb (see right) claim it is most accurate three-dimensional representation to date of the most famous fractal equation: the Mandelbrot set.

Fractal figures are generated by an "iterative" procedure: you apply an equation to a number, apply the same equation to the result and repeat that process over and over again. When the results are translated into a geometric shape, they can produce striking "self-similar" images, forms that contain the same shapes at different scales; for instance, some look uncannily like a snowflake. The tricky part is finding an equation that produces an interesting image.

The most famous fractal equation is the 2D Mandelbrot set, named after the mathematician BenoƮt Mandelbrot of Yale University, who coined the name "fractals" for the resulting shapes in 1975...

http://www.newscientist.com/article/dn18171-the-mandelbulb-first-true-3d-image-of-famous-fractal.html
westysays...

yah i dont think u could realy call this a 3d factal

im pretty sure in order to navigate and look at a 3d fractal you would have to look at it from a fourth dimension. ethor that ar you would have to render it animated in a simular way to how people represent a hypercube.

if you think about it a fractal is infinatly large and infinatly small , there for there is no dead space for the object to construct a 3d illusoin , esentualy what u would end up with is something that looks 2d to the viewer and you would just be clipping through its walls constantly , making it apear to the user to be a 2d mess.

cybrbeastsays...

Wow this is amazing. Stop whining westy and Enzo, read the article:

"White's search isn't over, though. He admits the Mandelbulb is not quite the "real" 3D Mandelbrot. "There are still 'whipped cream' sections, where there isn't detail," he explains. "If the real thing does exist – and I'm not saying 100 per cent that it does – one would expect even more variety than we are currently seeing."

Part of the problem is that extending the Mandelbrot set to 3D requires many subjective choices that influence the outcome. For example, you could extend a flat plane to 3D by stretching it to form a box, but you could also turn it into a sphere."

http://www.newscientist.com/article/dn18171-the-mandelbulb-first-true-3d-image-of-famous-fractal.html


Also this page explains the mathematics and procedure somewhat clearer:
http://www.subblue.com/blog/2009/12/13/mandelbulb

What this is, is just an amazingly beautiful 3D interpretation of a famous fractal.

This is definitely going into my watch when tripping folder

berticussays...

>> ^cybrbeast:

This is definitely going into my watch when tripping folder


One of my fondest hallucination memories: sitting under a tall tree in a park late at night, the only sound was that almost magical white noise rushing through leaves, and I was at the peak of an LSD trip, having just inhaled some nitrous oxide. I lay down and looked up, and the canopy of the tree was silhouetted against the sky. The entire view turned into a 3-dimensional animated fractal set for a good minute or so.

Words probably can't convey the amalgamation of sensory experience that made that moment so exhilarating, but a part of this video triggered that memory quite strongly for me. Makes me want to trip again (it's been a long time).

westysays...

>> ^cybrbeast:

Wow this is amazing. Stop whining westy and Enzo, read the article:
"White's search isn't over, though. He admits the Mandelbulb is not quite the "real" 3D Mandelbrot. "There are still 'whipped cream' sections, where there isn't detail," he explains. "If the real thing does exist – and I'm not saying 100 per cent that it does – one would expect even more variety than we are currently seeing."
Part of the problem is that extending the Mandelbrot set to 3D requires many subjective choices that influence the outcome. For example, you could extend a flat plane to 3D by stretching it to form a box, but you could also turn it into a sphere."
http://www.newscientist.com/article/dn181
71-the-mandelbulb-first-true-3d-image-of-famous-fractal.html

Also this page explains the mathematics and procedure somewhat clearer:
http://www.subblue.com/blog/2009/12/13/mandelbulb
What this is, is just an amazingly beautiful 3D interpretation of a famous fractal.
This is definitely going into my watch when tripping folder


you say quit whining but I explained pretty concisely why you cannot do a 3d mandalbrot properly.
allso you cannot exspect everyone to read an acoseated artical when the initail post is titeld wrong.

If it was titaled artists representation of a 3d mandelbrot and then exsplaind how it worked then it would have been most excielent.

however as it is its a pretty pore attempt at a 3d Mandelbrot.

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