Mandelbrot set

/ (ˈmændəlˌbrɒt) /

noun

maths a set of points in the complex plane that is self-replicating according to some predetermined rule such that the boundary of the set has fractal dimensions, used in the study of fractal geometry and in producing patterns in computer graphics

Word Origin for Mandelbrot set

C20: after Benoît Mandelbrot (1924–2010), French mathematician, born in Poland

Scientific definitions for mandelbrot set

Mandelbrot set
[ mändəl-brŏt′ ]

The set of complex numbers C for which the iteration zn+1 = zn2 + C produces finite zn for all n when started at z0 = 0. The boundary of the Mandelbrot set is a fractal.