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Benua Mandelbrot American scientist Benua Mandelbrot is one of the most eminent mathematicians and physicists of the 20th century. He took his heed at fractals and created a new paradigm of geometry. Euclid, the most prominent mathematician of old Greece, was restricted, because his geometry was based on ideal forms and their compatibility, but Mandelbrot's geometry - on natural forms that display world of nature and mathematical regularities. |
At the new geometry Mandelbrot started work in 20th century seventies. He is term "fractal" creator, too. Computers played an important role in the development of fractal geometry. Working at the IBM Research lab, which was equipped with the newest and most powerful computers, Mandelbrot was one of the first to realize the almost unlimited possibilities that computers offer for the depiction of systematic processes. Fractal geometric representation is very important, as it replaces analytical expressions with visual fractal images, which can be investigated by resizing. Thus, Mandelbrot pioneered a new approach to understanding nature, a transition from analytical to visual representation. The American scientist has gained renown through his “Mandelbrot set,” which can also be seen on this web page. Mandelbrot set illustrates the fractal visualization principle and the chaotic structure of a mathematical dividing line, which is an example of the self-replication effect, whereby the component structures of the line replicate themselves while continually decreasing in size. It is unthinkable from the point of view of classical mathematics, but in fractal geometry it unfolds as a beautiful, determined chaos with its own order.
To see means to believe.
B. Mandelbrot