The Mandelbrot Set a set of complex numbers which does not diverge for the following iteration scheme
![\[ z_{n+1} = z_n + c \]](https://mabl.dk/wp/wp-content/ql-cache/quicklatex.com-592381252dc87492cafc863cb3dae25d_l3.png "Rendered by QuickLaTeX.com")
where 
is 0 and 
is a complex number. This can be calculated for all complex numbers in the complex plane as shown below.
Wiki link here.
January 21, 2018