Divergence from the Mandelbrot Set

Wolfram Demonstrations Project · 2007

Consider the mapping . The Mandelbrot set consists of those complex numbers such that the iterates of do not tend to infinity as . Points with an iterate greater than 2 in absolute value diverge. In the left-hand image the norms of red points reach 2 in the fewest number of iterations followed by the other colors in order of wavelength. The initial image only takes step size number of iteratio;

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