Fractals: Exploring Mandelbrot Coordinates and qualitative characteristics of the corresponding Julia Set
Edward Thomas,
Samuel Williams
Abstract:The Mandelbrot Set and Julia Sets are fractals that are generated employing the cyclic equation zn+1 = zn2 + C an infinite number of times, where zn and C are complex numbers. For the Mandelbrot set, the value of zn is static and the equation projects points that do not diverge to infinity for all possible values of C derived from coordinates on the complex plane. For Julia Sets, every value of C remains static while every value for zn that does not diverge to infinity is projected. Because the standard, 2D M… Show more
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