Fractals, the Mathematical understanding of chaos.

 

Over 100 years ago, the idea of fractals was introduced in mathematical journals and litterature. However like many other revolutionary ideas, they were denounced and labeled as topics only researchers of mathematical oddities would study. A famous mathematician at that time, called them monters. B Mandelbrot, who is often called the father of fractals investigated the relationship between fractals and nature.

Consider the problem of trying to compute the force of the wind exerts on a large oak tree. This is very difficult to do using conventional techniques because of the many surfaces that the leaves present to the oncoming wind. You can create a fractal that models a generic of an oak tree. This fractal would contain information about surfaces which a user would not be able to code by hand in a life time. Our heart and brain waves, our kidney's structure, our skeletal structure, and our nervous system can also be modeled using fractals.

Let us look at the organisation of the joints of the skull. The joints derive their strength from their chaotic arrangement.

 

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