The Mandelbrot set can be explained with the equation formula_1. In that equation, formula_2 and formula_3 are complex numbers and formula_4 is zero or a positive integer (natural number). Starting with formula_5, formula_2 is in the Mandelbrot set if the absolute value of formula_7 never becomes larger than a certain number (that number depends on formula_2), no matter how large formula_4 gets.
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