Mandelbrot
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Benoît Mandelbrot
Benoît Mandelbrot is not an artist in the usual sense of the word. He doesn’t work with oils, watercolors, pastels or colored pencils, yet he has created work of extraordinary beauty. Benoît Mandelbrot is a mathematician.
Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah The Mandelbrot Set.
The Mandelbrot Set
A Short And Entertaining Introduction to Fractals usually one's first response to fractals is simply this: they are beautiful! indeed, they are visually arresting, and there are many reasons why. perhaps one reason is that they exhibit extreme levels of symmetry , a property we have gravitated toward throughout human history, whether it be in our architectural designs, in our scientific theories, in our religions, or even in the facial structures of the opposite sex. another reason could be that the same self-replicative patterns can be found strewn throughout our natural universe, in vapor trails, snail shells, evergreens, cauliflowers, and snowflakes ... just to name a few. but perhaps most enticing is a reason most people would never guess -- mathematical brevity . many of these stunning patterns are governed by very simple-looking equations consisting of only a few symbols!
[ wu :: fractals ]
The term Mandelbrot set is used to refer both to a general class of fractal sets and to a particular instance of such a set. In general, a Mandelbrot set marks the set of points in the complex plane such that the corresponding Julia set is connected and not computable . "The" Mandelbrot set is the set obtained from the quadratic recurrence equation
