Have you ever heard of Benoit Mandelbrot and his research within Fractal Geometry? Benoit was born in Poland and he did some amazing work developing new mathematics letting us explore the “hidden dimensions of fractal geometry”.
“Fractals” are objects that display self-similarity at various scales. If we magnify a fractal we shall find small-scale details similar to the large-scale characteristics. Although the Mandelbrot set is self-similar at magnified scales, the small scale details are not identical to the whole. All though the Mandelbrot set is infinitely complex we can created them based on very simple mathematics.
The most famous fractal is called “The Mandelbrot set” which was generated by computers at IBM where Benoit was working at the time.
[box type="info"] Fractals can be found all around us in the Universe. A good example of fractals would be looking at a pictures of our solar system and then looking at a picture of an atom. Just as the sun circles around our 2-dimensional flat planet on a large scale, we can see almost the same pattern if we magnify this picture and study individual atoms which we shall find circling around the negatively charged electrons.[/box]
Arthur C Clarke made the bold claim that fractal geometry was one of the most revolutionary discoveries within the field of mathematics all though at that time it was questioned if the discovery of fractals would ever have real world applications. Today fractal geometry is being used for Animations, Virtual Reality, Bio Medicine, Invisibility Cloaks, Therapy, Neuro-Linguistic Programing, Cold Fusion & Telecommunications.
[box type="info"] I love watching fractal geometry patterns after a hard day in the laboratory as a way to relax and float away into a different state of mind where I can explore my inner consciousness. Watching these animations seems(?) to open us up to new ideas and expands our creative abilities. [/box]
The concept of fractals made a huge impact on my life and the way I observe the world around me when I was first presented to them. As this is a very open subject poorly understood and open for debate I would love for to hear what others have to say about the importance and meaning of Fractal Geometry.
Truth is always open for debate!