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man·del·brot set

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