Tuesday, December 1, 2009

Mandelbulbs

A direct link to the above video is at http://www.youtube.com/watch?v=1BscaUbwVR0

We've looked at this video before: it's called "A Mandelbrot the Size of the Known Universe". According to the description at youtube for this three and a half minute long movie, if the final frame were the size of your screen, the full set would be larger than the known universe!

A direct link to the above video is at http://www.youtube.com/watch?v=ATWrMlIKRBk

We've talked a number of times, in blog entries like How to Make a Universe, Dreaming of Electric Sheep, The Invariant Set, Nassim Haramein, and A 3D Sphere on a 4D Hypersphere, about how the concept of infinite recursion keeps coming up again and again, both in discussions of consciousness, and in discussions of the underlying structures of our universe. The Mandelbrot Set is a famous example of a fractal set which can be endlessly zoomed in on, continually revealing more and more detail, and the above image from wikipedia shows the initial starting state of a zoom sequence into this fascinating structure. Now take a look at this:

This computer-generated image is part of a stunning new exploration of the Mandelbrot Set where the underlying equations have been transformed to generate 3D objects. I invite you to go to this link:
http://www.skytopia.com/project/fractal/mandelbulb.html
and enjoy many more jaw-dropping examples of this exciting new process which really, I think, helps us to see how fractal recursion is such an important part of the natural structures of our world, and of the universe. Once you're done there, then go check out these stunning fractal creations my friend Chuck Salyers just pointed out to me:
http://205.243.100.155/frames/lichtenbergs.html

Enjoy the journey!

Rob Bryanton

Next - How to Time Travel

Mariana Soffer said...

Rob:
I love fractals, by the way great links about them.
I was obsessed with them at highschool and learned how to
draw the mandelbrot one and be able to navigate it in space.
For that I had to understand complex numbers, which was not easy for me at the time and I also could implenent other of my recently learned concenpts called recursion (which I love)
Anyway I just wanted to added a few comments about mandelbrot fractal:
Gaston Julia (1893-1978) was a French mathematician who published a book on the iteration of rational functions in 1918. Before computers, he had to draw the sets of functions by hand. These types of fractals are now called Julia sets.
Benoit Mandelbrot (1924- ) is a mathematics professor at Yale University. He used a computer to explore Julia's iterated functions, and found a simpler equation that included all the Julia sets. This Mandelbrot set is named after him.
For A great intro and more details about fractals please go: to:http://en.wikipedia.org/wiki/Fractal

Thanks for such a nice and interesting post rob
Cheers and be well

Alexandre said...

Hi Rob;
Yes in truth, fractals are a great tool for de comprehension of consciousness and of the whole reality.
I want to leave this link also related with dimensions that I found recently on the net: http://goldring.wetpaint.com/page/THE+DIMENSIONS
Where lays the full text of the follow:
…”As we locate the 6th DIMENSIONAL level of ourselves, our elevator ride together now begins to bear tangible results. We have entered unmistakably into the realm of spirit. Welcome to the living temple of intention, crystal purity, and peaceful thought. Unity is the sole allowable context here, and the glue of this particular dimension (like love is in the 5th, and fear is in the 4th). The gift of the 6th dimension is clarity. It’s medium is Unified Thought. Its verb is visualization. Here focus, passion, and imagination are the bottom line movers and shakers.”…
Appreciatively,
Alexandre