Example: c = i is in the Mandelbrot set, because the orbit of 0 under x² + i is 0 --> i --> -1+i --> -i --> -1+i --> -i ...., so the orbit of 0 eventually begins to cycle with period 2 and so does not escape.

EXAMPLE 3: c = i The orbit of 0 is an eventual 2-cycle.

Close this window to move on to the next example.