Speculation is fine… dissapointed for the second time on this site I’ve practically wrote out why the mathematics behind this stuff is invalid, and why it’s been retarding us from better solutions that can only be reached once we drop this bull. Luckily, this isn’t the ultimate crowd I gotta give the proofs too.
Felix… look here. I know it’s really, really hard to catch your attention. You’ll like this book:

It has a limited math section. I’ve been working on radically increasing that aspect of the theory myself, as it has a decent build to it.
I’m serious… these are not infinite nor eternal objects. No more eternal than the turns on our road system. Yes, in a sense you can drive on routes though our road system forever… but their finite. They come to a end, as well as the things that journey on them. These things… they don’t function. The only things in nature that seem to use fractals intelligently are cells… and every process eventually comes to a end. They are not eternal. It’s just a illusion of depth that agrees with how we process visual information. It’s not a actual infinite scheme. Every image requires us to assume there is depth, and that we’re traveling THROUGH the blasted image… only then does it become apparaently valid there is another pattern in it. Our mathematics- as far as expressing it is concerned- are quite crude in not being able to express it’s finite character. Animators can make the images seem to go on forever… or like some patterns that look bush like, fluxtuate with the wind.
Mystical mathematics figured out a lot of cool stuff. The double helix for example… comes from the older Babylonian version of the cult of Hermes. The stuff looks like DNA. [img]http://www.tribwatch.com/mushussu.jpg[/img
It’s also a good way to express overlapping feedback loops. Why the evolution of the cult eventually- especially under Plato’s influence, forced a biological emphasis that primitively resembles our understanding of the pulmolnary and nervous system. DNA also does this too… compresses alot of information in a easily accessible design. The kind of mathematics your speculating on is all great… your locking onto something in our current system we can’t very well express. It’s a size paradox, and we’re not all that well aware of it. Just like the Hermetic symbols… in India that evolved into the CHakra system. A very complex system, but inherently invalid one… because there are no Chakras in us where everyone thought they were. It was a impressive, complex build up of some of our smartest minds over dozens of generations putting good information into a fundamantally bad system. It was bad because they didn’t understand we had a nervous and pulmonary system. The egypatians used the hermetic system before they een had a inkling the pulmonary system existed.
It’s best just to get over it now. These are very, very finite elements. It has only the information inherent in it as provided by the GIF… a few KBs, and then it ends. It doesn’t go on forever. It’s based off a misconception. You can’t step into the picture and walk along it forever. Even if you simulated it in VR, even if you built a infinite illusion of it… it will eventually come to a end by external means… for the simple fact it’s made of matter, and requires us to accept this on the basis of it’s illusionary effect in egging us on to accepting it as existing. It is not as it appears to be. Do you think a alien, or one of Immanual Kant’s Angels, would be prone to accepting it as such if they have a different biology and process visual and mathematical processes differently than we do? Likely not.
If I sit here, and close one eye… and look out, the world appears one way. If I close that eye and open the other… the world shifts. We are smart enough to know that the world didn’t shift. We don’t make Advaita or Zen cults of perception built around disproving the validity of the universe by giving such evidence that the external world of dualistic ideas isn’t. We now just accept it’s because we got two eyes, and two loafs of brain that work together to create images. These objects… they are just as simple. It’s a visual illusion, and we suck at setting up and formulating math so badly that we’ve never been able to shake the first impressions. It’s just a visual glitch and shitty math conspiring against the obvious… that these things don’t go on forever… because our every exposure to them has ended up in their ending at some point. That to accept them going on forever requires manupulating the information presented more than it has a capacity to express. As I pointed out before, animators can make it seem to go on forever- or just a complex, move in the wind. Plants move in the wind all the time… but we don’t think they are eternal. Mimesis… simple flaws in Mimesis.