Fractal Graphics/Chaos/Pattern/Complexity Theory Information

 

[The fascinating mathematical/graphic field that is giving people a new way to think about the natural world. This is only a small fraction of the many links possible that look at Life and how it is complex and how various aspects of health, illness, treatment and recovery relate to each other in intricate fashion. I see this is giving us science to explain such things as Heart Rate Variability biofeedback, individual responses to treatments, the beautiful variations in iris structure seen in iridology, and even homeopathy and acupuncture. See the I-Ching Information lower on this page.]

 

 

A tribute to Benoit Mandelbrot, inventor of Fractal geometry.

Mandelbrot's family escaped the Holocaust, and he

ultimately gave the world this fascinating approach to

understanding the beauty of our complex world.

 

The BioFractal Evolution Center

The work of Bruce Lipton, Ph.D., and others is celebrated in this: "A road from War-zone Earth to Peaceable Kingdom Earth - via the new sciences of fractal evolution and social fractalism"

 

Life Sciences/Technology Publications

Research papers, articles fractals, bioscience, nanotechnology and more.

One that relates to acupuncture and circadian processes of heart dynamics:

Fractal Dynamics in Physiology: alterations with disease and aging [PDF]

 

The Community of the Self: Computational biology and dynamic stability [PDF]

Modeling the Heart: From Genes to the Cell to the Whole Organism [PDF]

 

Microacupuncture Systems as Fractals of the Human Body

Google search for: Fractal and Acupuncture

Google search for: Fractal and Homeopathy

 

[See also my Acumeridian Science | Homeopathy Science]

 

Graphic Art and Do-It-Yourself Software 

Yale website about fractal geometry.

Beautiful examples of fractal computer-aided art.

 

The Center of the Universe: by Keith Mackay

The Paramathematical Gallery: Another fractal art site

Fractal Explorer: Freeware Do-It-Yourself Fractal Software

 

Ilya Prigogine, Nobel laureate: Theory of "Dissipative Structures." 

     I call it the way to describe why no two eggs ever break in the same pattern, and why no two people experience illness or the healing process in exactly the same way; and illustrate this in my graphic on the Unique Healing Path for each individual.

The Ilya Prigogine Center for Studies in Statistical Mechanics and Complex Systems

What is Chaos?

Impressive and simple graphic showing collision of 3 balls as complex chaos response

Dr. Prigogine's Autobiography

 

I-Ching and Fractal Dynamics

There is a wealth of information online about the 64 unit I-Ching structure. The I-Ching has been called a fractal discovery that has implications for both psychology and study of the nature of the flow of life. Psychologist C.G. Jung wrote extensively about the value of the I-Ching in self-discovery, as well as the concept of "Synchronicity." I highly recommend the I-Ching for both scientific and personal benefits. The book The Medical I-Ching, describes one way to apply this.

1. A favorite resource of mine is a CD that contains a software that allows the process of the original yarrow stalk approach to casting the I-Ching: The Oracle of Changes. It has been called called Software for the Soul and described as:

The Oracle of Changes CD-Rom delivers a mathematically and energetically-authentic (i.e. using the mouse, you actually cast the coins and YOU determine what lines you get, not the computer using some random-number generator program) and complete I-Ching ritual and reading, including Changing Lines and a Future hexagram.

The text of this translation of the I-Ching delivers a poetic modern reading, which is appropriate for our times. While remaining true to the most authoritative translations, compared to other versions of the I-Ching, the Oracle of Changes is non-sexist, non-militarist, non-Germanic and more Taoist than Confucian.

The Oracle of Changes provides a rich and seamless full-screen multimedia experience. It will give you a vivid experience of ritual space every time you use it. You can even have your I-Ching reading narrated to you in a lovely voice if you like!

Edit and Save your readings. The Oracle of Changes CD lets you edit the text of your reading to include notes, observations, etc. This lets you Save your insights into your Changes Journal, which you can also print -- complete with your question, the date and the reading itself. "

The Oracle of Changes CD also contains 3 exceptionally interesting video-taped interviews with leading science authors, Terence Mckenna, Ralph Abraham and Katya Walters, regarding their insights into how the I-Ching works in light of the fractal nature of time, Chaos Theory and DNA research which shows an amazing correlation between the code sequences of DNA and the hexagram sequences of the I-Ching."

 

2. Korean web site applying Fractal theory to understanding the I-Ching.

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The Powers of Ten Website for Science

Visit this web site and learn about the exhibit that shows similarities between galaxies in outer space, plants on earth, and atomic structures. This is science that evokes human feelings, awe at the size of the universe, its beauty and complexity and our place within it. View clips there, or order the CD-ROM.

 

MATHEMATICS Mathematics is a tool for understanding almost every scale in time and space, whether it is counting the seconds between lightning and thunder, measuring the wood for a cabinet, crafting a new calendar, calculating the spin of a distant galaxy or, as in the video clip at this station, conceiving and rendering a realm of not just 3 dimensions, but of infinite dimensions. Like practically every station in this CD-ROM, this one connects with many others--from the elegant math of spirals to Charles Babbage's crude realization of a powerful idea that became the electronic computer. It is not coincidence that the tool for the highest power is the human mind and that here, at the extreme lowest power, is one of that mind's most spectacular fruits. In particular, it is here at the lower orders of magnitude that mathematics has been particularly indispensable because, as we enter the atom, the best, most precise way of modeling its nature is through the math. And along with that math, pulled up into the scale of the human mind, is some legitimate projection of that minuscule realm.

When you speak with physicists and mathematicians, sooner or later the term beauty comes up--the more beautiful equation that revealed the positron, or the higher symmetry of J. C. Maxwell's 1864 equations on the electromagnetic theory of light. It was the latter equations which Einstein was able to return to and plumb for still more insight than Maxwell himself may have explicitly realized. It is that beauty, that revealed order, that drives the mathematician. And it is such beauty that we expect to find in that most fundamental quark or in the first micro-instants of Time. As the mathematician G. H. Hardy said: "A mathematician, like a painter or poet, is a maker of patterns. If his patterns are more permanent than theirs, it is because they are made with ideas . . .The mathematician's patterns, like the painter's or the poet's, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way." Perhaps it is a primal respect for this kind of beauty that drives our connection to the powers of ten.