Fractals and math.

In the beginning, God created Math in his/her image. And God said, “Be fruitful and multiply…and multiply…and multiply…”

Fractals are created using very simple mathematical equations. The fractal I am most interested in is called the Mandelbrot Set and its equation is: z = z * z + c which is about as simple as you get.

These equations are usually referred to as dynamic equations where the output of the equation is fed back into the equation. This is more commonly known as a feedback loop. Nature works very much like this in that it is one big giant feedback loop. For example the leaves from the trees fall to the ground and get fed back into the earth for the next generation of trees and plants. All things in nature work this way, so it’s no surprise that mathematical equations using feedback can generate images that look so much like things in nature.

Self-similarity.

Despite its apparent solidity the Universe is a fractal. A fractal is a self-similar pattern or series of patterns with infinite detail. Self-similarity refers to the fact that the patterns repeat themselves within the system but they never repeat exactly. For example, there are many, many galaxies in our Universe but no two are exactly the same. Some look similar to each other (self-similarity) but you could search the whole Universe and definitely not find two with exactly the same details. Our bodies are also self-similar with patterns repeating themselves on different levels. The Chinese and Indian cultures have known this for years, mapping the whole body onto different parts of the body like feet, ears and eyes. Acupuncture and reflexology (to name a few) are based on this theory.

The key is in the details.

The key to the fractal is in the details. You can search the universe of a fractal (each fractal is a universe unto itself since it is infinite) and find the same pattern over and over again but when you look closely at the details you can see that they are quite different. There are over 6 billion people on our planet and again, you will not find two people that are exactly the same. Even identical twins and clones are not exactly the same when you look more closely at the details. It is important to realize this because modern medicine treats everyone as if they are exactly the same instead of realizing that each individual is unique and must be treated differently. The practitioner must take the time to know the patient in all the details before deciding on a treatment for an ailment. This is the biggest mistake of modern medicine.

Fractal dimension.

Another important fact about fractals is that they exist between dimensions. We are use to describing the universe in 2, 3 and even 4 dimensions (including time) but what appears to be solid matter in the universe (galaxies, stars, planets, trees and animals etc…) actually form and exist in the space referred to as the fractal dimension.  Fractal just means ‘fraction’ so a fractal dimension is really just a fractional dimension and would look something like “2.34784” or “3.48723” instead of exactly 2-D or 3-D. Each person has a unique fractal dimension and will respond to different fractal images in different ways.

Fractal healing.

Fractals can be seen in trees, rivers, clouds and all other natural objects. Your own person (body and mind) is a fractal with patterns that repeat on every level of your being. Fractal patterns can be used to restore yourself to the healthy beautiful creature that you really are. A healthy body has all it’s fractal patterns intact on every level, mind, body and soul. An unhealthy body is a body that has had its fractal pattern disrupted in some way causing things to change unexpectedly. You can easily tell a diseased tree from a healthy one because it begins to lose its fractal pattern.

Because of the self-similar nature of fractals, it is possible to work on many levels simultaneously. It has been proven that looking at pictures of nature can increase the healing process dramatically. This is because nature is a fractal. Looking at pictures of fractals has the same effect in generating healing energy and installing the healthy fractal pattern back into the body and soul. The trick is to find the fractal that suits you best. Meditating on a fractal image can be both relaxing and stimulating. The images can trigger the natural fractal properties of our minds and bodies.  It is important to choose a fractal that is pleasing to you since this is more likely to be compatible with your fractal dimension.

Colour therapy and charkas.

Fractal therapy combined with colour therapy gives a strong and solid foundation for restoring your body and mind to its original and natural form. Using colour therapy, you can increase the potency of the fractal image by triggering the specific charkas for whatever part of the body or mind you are trying to work on.