View Full Version : Mandelbrot Set

04-02-2010, 06:07 AM
Quick info on the M-set: Wikipedia (http://en.wikipedia.org/wiki/Mandelbrot_set)


Traditional representations of meditating practitioners of Taoist "internal alchemy" (nei-tan) bear a striking resemblance to the representation of the M-set.

It is possible that the representation of the M-set is to be usefully related to the traditional concept of an alchemical "vessel" in which all "base matter" can be dissolved... - source (http://www.laetusinpraesens.org/docs00s/cardrep2.php)
Ever since I used ayahuasca the M-set has struck a chord with me. It is a deeply alchemical journey to partake of that drink, as is studying the M-set... I have no doubt about that. Not sure how to apply it yet... too close at the moment to see the big picture so I am just posting this to see what comes back.

Psycho-social Significance of the Mandelbrot Set - a sustainable boundary between chaos and order (http://www.laetusinpraesens.org/docs00s/cardrep2.php)


04-02-2010, 08:27 AM
Ever look into a toilet or a bucket and see this:

Cardioid (http://mathworld.wolfram.com/Cardioid.html)

The larger part that looks like a woman's butt.

If you find yourself intrigued by fractals then you might be interested in Walter Russel cosmology:


"Shamanic Scientists like the Maya, Inca, Egyptians, etc. and the yogic scientists of the ancient Vedas, have clearly understood the Universe much better than the lame set of theories parroted about by scientific eggheads, in corporate controlled schools. The Maya are showcased in this book, because of their deep understanding of our Solar System's relationship to the rest of our galaxy and the Serpentine path of it's travel. They also understood the "fractal nature of time" and were able to map out the future events which are quickly approaching. Due to our immanent contact with the galactic ecliptic, we would be wise to heed their warnings.

From closely observing the smaller time cycles, during their studies over a millennia ago, they saw the repetitions of events in the minor cycles, repeated in larger cycles (Fractal Time). They understood the physics of our Galaxy much better than the current set of fatally flawed, academic theories (guesses). The Maya ventured deep into the mystical realm of mind expanding drugs like Toad Gland Excretions (DMT like), which they smoked and magic mushrooms, which they consumed, so that they could leave their bodies and travel deep into the night sky to get a deeper understanding of the motions of our Solar System's in relationship to the rest of the Galaxy. These brave seers were far more committed to the task of exploring cosmology, than the current academic fruitcakes and arm chair quacks who have devoted to their lives to the mediocre absurdity of academic ideas like: the nuclear theory of the Atom, a limit to the speed of light, the so-called second "law" of thermodynamics, the increase of mass with velocity and the extremely fallacious and bizarre, quantum & string theories."

Walter Russell had a similar enlightenment moment experience at age 9 (probably due to the secretion of DMT by his pineal gland) and saw like the universe for what it really was like you just did, he spent the rest of his life trying to explain it to everyone else.


twin oppossing vortices + standing waves= fractal matrix



The Fractal Matrix reveals that all of creation, with its accompanying fractal levels, emerges from vortices---the double-helix spiral configuration (see figures 1, 2, and 3, Part I). These are centripetal spirals. The double-spiral vortex pairs create a stable standing-wave structure at their centres. If the reader wishes to attempt a visualisation of these 4D (at least) configurations follow the steps in Figure 7, starting with (a). For a more thorough description see article The Basic Energy Unit: The Vortex.

04-02-2010, 09:56 AM
Great stuff Leo... but Fractal Time... could this be like all time are the same. Like today is also the same day, happening at the same time, as 10 000 years ago. Or is it another name for Time Wave Zero?


04-02-2010, 10:31 AM
Like today is also the same day, happening at the same time.

It's actually the reverse of 'Same Shit, Different Day' :D

Just kidding. Sort of...

I see it more like an ever-increasing concentration of Essence though the self-similar fractal agency/'vehicle' of Time and Space, which our limited physical senses perceive as a linear one-way road.

04-02-2010, 10:58 AM
Just got thinking about that because for the last few years I have really felt kinship with Philip K. Dick's concept of the fact that the Roman Empire never ended... i.e. we are still living in that facist regime! What he calls the Black Iron Prison, to quote him:

Everyone who had ever lived was literally surrounded by the iron walls of the prison; they were all inside it and none of them knew it.

How to Build a Universe That Doesn't Fall Apart Two Days Later (http://www.theempireneverended.com/) by Philip K. Dick



04-02-2010, 12:34 PM
Great stuff Leo... but Fractal Time... could this be like all time are the same. Like today is also the same day, happening at the same time, as 10 000 years ago. Or is it another name for Time Wave Zero?


Well, from the Mayan perspective they were able to predict what was going to happen in the future by looking at the past and today, just like the saying goes, that history has a way of repeating itself, but of course to them this was much more literal. Just as you zoom down into that mandelbrot animation, its fractal representation of what you are seeing at the moment is a mirror image of what you saw when you zoomed out, the movement itself is the passage of time. Just as in order to have any velocity you have to observe time, or the passage of it(v=d/t). From this observation they were able to discern the movement of the Great Ages that they divided up, Fulcaneli's talks about the Great of the Cross of Hendaye and the four great ages and destruction are on the same order. Most wise men know that we are approaching the end of one of those ages, unfortunately for us though they always seem to end in great destruction or conflageration as he calls it, polar flipping.

04-02-2010, 07:47 PM
Yes I see, thanks... so many strings to tie together. One of the links you provided led me to this site:

Diagrams by Walter Russell (http://www.walter-russell.de/en/Diagramme.php)


11-30-2010, 12:27 AM

I was out picking leaves one day and saw that thing going on everywhere...


12-01-2010, 06:55 AM
Yes, the fractality is ever present!


Black Sclera
09-21-2011, 07:02 AM
Iv always thought of the Mandelbrot as the perfect analogy of the varying levels and manifestations of reality. Ever changing and always connected.

11-28-2015, 01:52 AM


05-24-2018, 02:12 PM


02-07-2019, 12:12 AM
Here's an interesting anecdote regarding Mandelbrot:

'The young Benoit Mandelbrot wanted to become a mathematician. His uncle, Szolem Mandelbrojt, already was one. And he had some sound advice for his nephew. 'Avoid geometry.' The mathematical fashions of his uncle's time placed great value on rigorous analysis and very little on visual imagery. The uncle recommended the young man to study and emulate a piece of mathematical research that capture the approach perfectly, a 300-page article by the French mathematician Gaston Julia on complex analysis - the calculus of v-1. Julia showed that simple mappings of the complex numbers could give rise to monstrously complicated shapes. A rival of Julia's, Pierre Fatou, worked on the same questions at much the same time; and between the two of them they polished off the whole area. At least, so it seemed in the 1940s. Julia and Fatou drew only very crude diagrams of their shapes: Mandelbrot was unimpressed. Like many youngsters before and after him, he ignored the advice of his elders.'

- 'Does God Play Dice: The New Mathematics of Chaos, Ian Stewart.

Also interesting is the comparison of the depiction of Buddha above. I never knew it, but these drawings are actually very carefully mathematical/geometric in nature. Here's a couple of images from "The Tibetan Book of Proportions", which is an 18th century "pattern book", whatever that means: