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Have you watched fractals before? They are beautiful. They have colors and movement. Something is fascinating about them. Sounds, colors, and movement are criteria of life. Look at 'fractals' on YouTube. It's like watching television or a fire burning in the fireplace.

Benoit Mandelbrot discovered the fractals using a computer to show the connection between shapes and the mathematical formula. Zn+1 = Zn2 + C. You start with one point and the formula tells you where the next point will be, and the next, and the next… That takes many operations that only a computer can do. We went even further. We made fractals in 3 dimensions and music fractals.

The atoms of planet earth seem to move randomly between the trees, the animals, the ocean, the mountains…. This is only the appearance. Studying nature reveals some general patterns. One of them is called ‘the fractals’. The other is ‘the association of opposites’. There could be more.

Our human life could also follow some general ideas that are not obvious to us. We may find, someday, that the fractals, the association of opposites, human lives and many others can be associated together to make a ‘general fractal’ that governs the universe.

For the time being, let’s go back to the material world.

6- Fractals and association of opposites

The first fractals appeared in 1979. That was only the beginning. They made us discover nature’s architecture.

 

After this discovery we found fractals everywhere in nature. They are in cauliflowers, ferns, mountains, lighting, our circulatory system….  For more than 5000 years we were eating cauliflowers, looking at ferns, climbing mountains and afraid of lightning and nobody realized that we were surrounded by fractals.  That does not make us look very bright - Does it?

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The association of opposites

Let’s start with a circle and a straight line. One is infinite. The other is limited. Our DNA combines them both. That does not prove anything. It is only a clue worth investigating.

Our two hands are the mirror image of one another. They are made to work together.

Our brain is associated with our nervous system. One brain inside bones with a spherical shape is associated with many nerves, outside the bones with elongated shapes.

 

We are surrounded by associations of opposites like we are surrounded by fractals.

- Some opposites are more challenging to see. For instance, there is an association of opposites between the blood circulating in our veins and the leaves of a tree. The blood in our veins is red because it has iron that attracts the magnet. Red and green are complementary colors. The leaves of the trees have chlorophyll, which is green because it has magnesium that repulses the magnet. Your blood circulates. The chlorophyll does not.  Blood is inside your body. Chlorophyll is outside the plants...

One association of opposites does not mean much unless you can find many more…. Let’s keep digging.

​- Ovule and spermatozoa. There is only one ovule; it moves slowly, it is circular, and it is one of the bigger cells of the body. There are millions of spermatozoa. Their shape is a straight line, and they move fast. They are very small. Ovules and spermatozoids are obviously made for each other.

- Body and soul. Our body belongs to the material world, which is only 5% of reality. Our main senses (vision and hearing) are very limited. Our soul is a means of transcending the limitations of the body.

The outside of the body is connected to the center of the soul. This is what makes touching important and gives you goosebumps.

 

- Our life is a compromise between two extremes. We cannot survive alone. To live in society, we must abandon some of our freedom. In a democracy, the individual has all the rights but must delegate some of his rights to the government. On the other hand, we want to preserve our freedom. We want to live as individuals, but we also want to live in society. Nobody else can live our life for us.

 

-Our life is divided between time awake and time asleep. While awake, we are conscious and have full memories of what happens in the material world. When we are asleep we are not conscious and have no memory of what happens.

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 In the life of a couple, each one must renounce some of his freedom and respect the individuality of the other. To be able to ask any question and get a complete answer implies that you don’t ask questions that infringe on the other’s freedom. Two people can be associated like two planets turning around each other. United by their distance.

- Our conscious mind is in the domain of experiments and science. Our unconscious mind is the domain of feelings and direct knowledge. Men seem to have their center of gravity close to the conscious mind. Women seem to have their center of gravity closer to the unconscious. Sexes are an association of opposites made to work together.

 

-It is by investigating the faraway planets that astronomers discovered the dark matter and dark energy that exist deep inside us.

 

-We spend most of our life being free inside limits. We created our zoos in our image.

- Here are some more examples: Attraction and Repulsion of magnets - Past and Future –

Thinking and intuition....

If you are looking for associations of opposites, chances are that you will not find them. If you are open-minded without looking for them, you will see them everywhere. That means that you will find them with your intuition rather than your thinking. 
 

...and all the rest:
If some day you are under the impression that everything in your life happens at random and nothing makes sense, think of the fractals and the association of opposites and the Fibonacci numbers and the golden ratio. You may wonder what else exists around us, waiting to be discovered. What we can learn from fractals and opposites is that intuition is a better tool than thinking to investigate the architecture of Nature.

 

That may not seem to be very scientific but who cares, as long as it works?

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