The Mandelbrot set is the set of complex numbers (c) for which repeatedly applying the function
fc (z) = z2 + c
produces values for which the modulus does not exceed a given value. It this has left you confused, I highly recommend this video which explains all of this is simple terms – there’s no point in me trying to explain it here when there is already a great explanation on YouTube.
To plot the Mandelbrot set, we select a range of complex numbers…
Mandelbrot: Basic Theory @ Styling Android