Mandelbrot to Mandelbulb - 3D Infinity, page 3

Originally posted by The Soothsayer
Not trying to move the thread along a different route, nor am I trying to not contribute, for I will eventually comment, but I just have to say this...

Some of those pictures I just had to stop and stare... it was if I was being drawn in. Amazingly, a few seemed to show representations of Cambodian temple design...

Perhaps this is a glimpse into the divine.

...

Okay, now with that said. Having been involved in 3D animation and illustration, I can't even begin to fathom the time it took to fully render this... if it has even happened. It's an infinite object, rendering wouldn't stop. Every time it is zoomed, it will render more and more. To answer an earlier question, to animate it would be nigh-impossible.

Hey bro,heres a start .....en.wikipedia.org...
For programmers

The definition of the Mandelbrot set, together with its basic properties, suggests a simple algorithm for drawing a picture of the Mandelbrot set. The region of the complex plane we are considering is subdivided into a certain number of pixels. To color any such pixel, let c be the midpoint of that pixel. We now iterate the critical value c under Pc, checking at each step whether the orbit point has modulus larger than 2.

If this is the case, we know that the midpoint does not belong to the Mandelbrot set, and we color our pixel. (Either we color it white to get the simple mathematical image or color it according to the number of iterations used to get the well-known colorful images). Otherwise, we keep iterating for a certain (large, but fixed) number of steps, after which we decide that our parameter is "probably" in the Mandelbrot set, or at least very close to it, and color the pixel black.

In pseudocode, this algorithm would look as follows.

For each pixel on the screen do:
{
x0 = x co-ordinate of pixel
y0 = y co-ordinate of pixel

x = 0
y = 0

iteration = 0
max_iteration = 1000

while ( x*x + y*y <= (2*2) AND iteration < max_iteration )
{
xtemp = x*x - y*y + x0
y = 2*x*y + y0

x = xtemp

iteration = iteration + 1
}

if ( iteration == max_iteration )
then
color = black
else
color = iteration

plot(x0,y0,color)
}

reply to post by ikonspyre

---

Nothing will free us from big brother because we don't want to be. If we did we would have banded together and done it. Were too petty and self interested. The fractal set is more about looking at existence and its nature. As a representation of infinity the 3d set is a great way of explaining the big and small and the relativity of each.

Others far more educated in mathematics will explain it better but ultimately the implications of this has less to do with opression then it does enlightening people and getting them thinking about things, perhaps in a different way than they are used to. It is the only way we progress.

Cheers

Originally posted by RogerT
has anyone managed to animate this?

www.neave.com...

Check out that link...

It does not go on forever, but it is pretty fun to play around with and it illustrates the concept well enough that you can imagine what an infinite one would be like.

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