Arch. Myriam B. Mahiques Curriculum Vitae

Sunday, October 18, 2009

Variations on Mandelbrot's set

In mathematics, the Mandelbrot set, so named for his creator, Benoit Mandelbrot, is a set of points in a complex plane, the boundary of which forms a fractal. When computed and graphed on the complex plane, it is seen to have an elaborate boundary which does not simplify at any given magnification. (From Wikipedia.org). It has a quality of autosimilarity, seen from different scales, the pattern will be repeated. The Mandelbrot set is generated by iteration. It means to repeat a process based on the application of a mathematical function over and over again. For the Mandelbrot set, the function involved is the simplest nonlinear function x2 + c, where c is a constant.
I generated these variations of the Mandelbrot’s set by affecting the basic formula. Please refer to my previous post “ what is a fractal” for further references.




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