Mandelbrot to Mandelbulb - 3D Infinity

reply to post by KyleOrtonArmy

I think alot of you new-agers a making way too much of fractals again.

Always blithering on about 'higher consciousness' and 'spiritual energy'.

[atsimg]http://files.abovetopsecret.com/images/member/5ca7c945738a.jpg[/atsimg]

Lol, perhaps that's a bit harsh, nonetheless I do disagree that we've made too much of fractals here (given they represent infinity and its absolutely impossible to 'make too much' of an endless value). Fractal geometry provides simple methods that build upon simple things making them infinitely complex, and many serious and scholarly individuals have devoted their careers to this notion. It's hardly solely founded in the realm of 'new-agers.'

[edit on 11/2/10 by Evasius]

Great thread with some very good information. Thank you S$F.

I wonder if light is present at those levels of being. Are there inhabitants there? Or is it a single living organism or well, does physics differ completely as we know it? If the old saying, "Life is what you make it" is true, then each individual creates their own reality and existencialism....which could also be connected fractally. Well done.

i like it...but too complex for my little brain!!

i like it...but too complex for my little brain!!

I would like to give you some more informations...

If you like to zoom in deeper in the fractal and if you like to do this in real time there is a wonderful multi platform open source software called XAOS... let's have a try.

XAOS Home page

Regarding the motion on a torus, all the possible orbits that you can do are easily computable, in particular you can find nice knots simply varying the constant that are multiplying "s" in this sage (www.sagemath.org) code:

s,t = var('s, t')
Tx(s,t)=(2+cos(t))*cos(s)
Ty(s,t)=(2+cos(t))*sin(s)
Tz(s,t)=sin(t)

%This shows the torus
T=parametric_plot3d((Tx(s,29*s),Ty(s,29*s),Tz(s,29*s)),(s,-pi,pi),plot_points=240)
T.frame_aspect_ratio([3.0,3.0,1.0])
T.show()

%This shows one of the possible knot
T=parametric_plot3d((Tx(2*s,4*s),Ty(s,4*s),Tz(s,4*s)),(s,-pi,pi),plot_points=100)
T.frame_aspect_ratio([3.0,3.0,1.0])
T.show()

Astrophysicists Find Fractal Image Of Solar Storm Season Imprinted On Solar Wind

Plasma astrophysicists at the University of Warwick have found that key information about the Sun's 'storm season' is being broadcast across the solar system in a fractal snapshot imprinted in the solar wind. This research opens up new ways of looking at both space weather and the unstable behaviour that affects the operation of fusion powered power plants.

Fractals, mathematical shapes that retain a complex but similar patterns at different magnifications, are frequently found in nature from snowflakes to trees and coastlines. Now Plasma Astrophysicists in the University of Warwick's Centre for Fusion, Space and Astrophysics have devised a new method to detect the same patterns in the solar wind.

I just found this article from May 29, 2007 - I found it very interesting that fractals were somehow encoded on the solar wind. It makes sense though that stars would possess the same fractal qualities that affect other natural objects.

This is my first post on this forum. Long time reader, first time poster.
I hope you enjoy this recent research relating to complex variables, knot theory, and fractals:
math.ucr.edu...

reply to post by Riemann


Thank you for the link. Now I am hooked!

reply to post by Evasius


Great stuff, another S&F for you.

Not trying to derail or steal your thread but thought I might interest you in this:

The Amazing World Of Flame Fractals

Just some slightly more creative uses of these wonderful formulas and algorithms.

A few samples here but check the link to my thread above for more, and links to the full size desktop versions.

"Pimp My UFO"
[atsimg]http://files.abovetopsecret.com/images/member/0f012e02aa14.jpg[/atsimg]

"Sing"
[atsimg]http://files.abovetopsecret.com/images/member/985a7930f3ca.jpg[/atsimg]

"Hammerhead"
[atsimg]http://files.abovetopsecret.com/images/member/bcfe2434814c.jpg[/atsimg]

Cheers, and congratulations on a wonderful thread.

Great thread.

This is an 'open source' kind of topic.
So many tangents.
So little time.

Looking forward to reading all the commentary on this one.
This is an important topic.....

The Spiral Halo of Infiniti.................................



[edit on 11-2-2010 by Perseus Apex]

Thanks to the OP for sharing this. I have been wanting to learn about fractals for quite a while...never got around to it. Those visuals have really opened my eyes...I'm still trying to grasp the "big picture"...extremely good stuff !!!

reply to post by Evasius


Another master piece Evasius.

Really, thank you for putting this all together- it's very stimulating and I'm definitely going to take my time going through everything...

I have to say that if we're to believe that the universe is infinite and the only way (that we can conceive of at the moment) to see infinity is through a fractal, then isn't the universe a fractal...

When I saw the image you posted of the top/down view of the 3d Mandelbulb:
[atsimg]http://files.abovetopsecret.com/images/member/f5f0311d7356.jpg[/atsimg]

(to further drive home the fractal connection to DNA)

It immediately conjured up the image of a top/down view of a DNA strand
[atsimg]http://files.abovetopsecret.com/images/member/7758eee5017e.gif[/atsimg]

And maybe even E8

[atsimg]http://files.abovetopsecret.com/images/member/9fee04c4616c.jpg[/atsimg]

Indications that fractals are a part of human consciousness and that we self organize in fractals based on social hierarchy

African Village Fractal

[atsimg]http://files.abovetopsecret.com/images/member/439d6ce902ee.jpg[/atsimg]

Fractal African "Ba-Ila" village-plan
[atsimg]http://files.abovetopsecret.com/images/member/07739fea2899.gif[/atsimg]

Fractal Brain
Fractal lungs, heart, and neurons
[atsimg]http://files.abovetopsecret.com/images/member/a8215c3c3f2d.gif[/atsimg]

I mean lets face it people, we're all just a bunch a fractals running around and reproducing fractal versions of ourselves while living on a fractal within a damn fractal.... phew

Thank you for this, S&F

Always been a fan of the Mandelbrot set, mathematics and art combined, truely brilliant

Everyone will like this FlashEarth Click on fractal on the top and keep zooming in! It is amazing!!!

LifENcircleS

Here a a couple of images of mine, made in the Mandelbulb mode in Visions of Chaos.

You can get a demo version of this program, you wont be able to save anything or make AVI movies but you can make screen shots if you want. You can also save the parameters in the demo in case you decide to buy it later. Fun to play with. I paid about 41 bucks for the program.

[atsimg]http://files.abovetopsecret.com/images/member/b4adde22e645.jpg[/atsimg]

Lots of nooks n crannies to explore!

[atsimg]http://files.abovetopsecret.com/images/member/7f4f397c88ef.jpg[/atsimg]

This is what I do when I am not perusing the posts :-)

reply to post by nerbot


Thanks Nerbot for posting those - I had a look at a few of the others on your thread, and they were amazing. I downloaded the software, but I haven't yet installed it. I'm a photoshop guy, and writing scripts to create images doesn't greatly enthuse me to say the least, but considering your results I'm definitely going to give it a try.

reply to post by berkeleygal


Thank you for posting those images, I haven't seen those angles of the Mandelbulb yet. I think that's definitely a program I'll try as well. Are there limits to how deeply you can explore the structure?

reply to post by Evasius


Hi Evasius!

In the Visions of Chaos program there are a lot of presets for the mandelbulb plus you have an option to make them juliabulbs, which is what those two images are. You can zoom in as far as you want and you can apply any color maps to them. Only thing tho is, when you raise the power or zoom in real close it takes a while to render (especially if I want images larger than 1024x768). My pc's HD is almost full.. I think I have about 7 gigs left so thats why I think it takes me forever to render. I am going to get a 2nd pc dedicated only to my graphic art programs - no internet or anything.. I think when I do that I will be happier and things will run a lot faster.

my best to you, b-gal

More on ‘Toroidal Concepts’ as I originally posted on page 1 of this thread – here are more examples of natural occurrences of toroids. First in the video, I’ve put together a few examples of bubble rings produced by dolphins, beluga whales, humpback whales, and man, as well as volcanic smoke rings, and the largest ever explosion produced by mankind – the 'Tsar Bomba' blast in 1961:

Extraordinary Toroidal Vortices


And below are a few of my favorite examples of toroidal structures in space:

[atsimg]http://files.abovetopsecret.com/images/member/a076a731d535.jpg[/atsimg]

infinity is everiwhere in every thing and can be experianced everiwhere the only thing we need to do is refine the nervous system to eneble this to happen