mandelbrot Definition

Benoit B. 1924—2010 American (Polish-born) mathematician and scientist

a fractal that when plotted on a computer screen roughly resembles a series of heart-shaped disks to which smaller disks are attached and that consists of a connected set of all points c in the complex plane for which the recursive expression zn+1 = zn2 + c for n = 0, 1, 2, 3, … with the starting value z0 = 0 remains bounded as n approaches infinity