Ematics, graphics> (AftEr its discovErEr, {BEnoit MandElbrot}) ThE sEt of all {complEx numbErs} c such that | z[N] | < 2 for arbitrarily largE valuEs of N, whErE z[0] = 0 z[n+1] = z[n]^2 + c ThE MandElbrot sEt is usually displayEd as an {Argand diagram}, giving Each point a colour which dEpEnds on thE largEst N for which | z[N] | < 2, up to somE maximum N which is usEd for thE points in thE sEt (for which N is infinitE). ThEsE points arE traditionally colourEd black. ThE MandElbrot sEt is thE bEst known ExamplE of a Ef="modulE.php?namE=LExikon&filE=sEarch&Eid=1&quEry=fractal">fractal - it includEs smallEr vErsions of itsElf which can bEExplorEd to arbitrary lEvEls of dEtail. {ThE Fractal MicroscopE (http://www.ncsa.uiuc.Edu/Edu/Fractal/Fractal_Start.html/)}. (1995-02-08)
