Fractal Graphics/Chaos/Pattern/Complexity Theory:
Why it is so important to understanding Life
Fractal science is the fascinating mathematical/graphic field that gives us a new way to think about the natural world. Below are only a small fraction of the many links about fractal science. Fractals help us look at Life and how it is complex. This can help us better understand how various aspects of health, illness, treatment and recovery relate to each other in intricate fashion. Fractals give us the 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. Tribute to Benoit Mandelbrot: Discovery of order within chaos.
See also: Expanded Paradigm | Acumeridian Science | Microcircuits and Nordenstrom | Iridology Science | Science and Spirituality | Homeopathy Science | Flatland | Autonomic Science | Autonomic Response Testing (ART)
FLASH: See new
"Are you ready for
a spiritual film that combines quantum physics, multi-dimensional visual
effects and animation, a dramatic story and interviews with leading
scientists and mystics?"
Mandelbrot's family escaped the Holocaust, and he
ultimately gave the world this fascinating approach to
understanding the beauty of our complex world.
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"
The Paramathematical Gallery: Another fractal art site
Research papers, articles fractals, bioscience, nanotechnology and more.
One that relates to acupuncture and circadian processes of heart dynamics:
Google search for: Fractal and Acupuncture
Google search for: Fractal and Homeopathy
Graphic Art and Do-It-Yourself 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.
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:
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."
Additional Challenges for Our Understanding of Life
Calculus Made Clear
|Change and Motion: Calculus made clear. Calculus changed the world; now, biophysics is changing the world again. Click here to see lively DVD of university class explaining the beauty of calculus, special discount offer.|
Why Understand Calculus?
One of the greatest achievements of the human mind is calculus. It justly deserves a place in the pantheon of our accomplishments with Shakespeare's plays, Beethoven's symphonies, and Einstein's theory of relativity.
In fact, most of the differences in the way we experience life now and the way we experienced it at the beginning of the 17th century emerged because of technical advances that rely on calculus. Calculus is a beautiful idea exposing the rational workings of the world; it is part of our intellectual heritage. [Note: This is as important as "The Invention of Air" -- Dr. Wilson]
The True Genius of Calculus Is Simple
Calculus, separately invented by Newton and Leibniz, is one of the most fruitful strategies for analyzing our world ever devised. Calculus has made it possible to build bridges that span miles of river, travel to the moon, and predict patterns of population change.
Yet for all its computational power, calculus is the exploration of just two ideas—the derivative and the integral—both of which arise from a commonsense analysis of motion. All a 1,300-page calculus textbook holds, Professor Michael Starbird asserts, are those two basic ideas and 1,298 pages of examples, variations, and applications.
Many of us exclude ourselves from the profound insights of calculus because we didn't continue in mathematics. This great achievement remains a closed door. But Professor Starbird can open that door and make calculus accessible to all.
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 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
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.
My context for recommending their products:
Heart Rate Variability
Human Energy Anatomy