Barnsley, Michael F.Frame, MichaelHowe, RogerStewart, IanMumford, DavidFurstenberg, HillelFalconer, KennethWest, Bruce J.Coppens, Marc-OlivierCohen, NathanJaffard, StéphaneBerry, Michael2015-09-222015-09-220002-9920http://hdl.handle.net/1885/15618We begin this article, which deals largely with Benoît B. Mandelbrot’s contributions to and influence upon mathematics, with a quotation from the introduction to Fractals: Form, Chance, and Dimension [16]. This essay, together with many pictures and numerous lectures in the same vein, changed the way science looks at nature and had a significant impact on mathematics. It is easy for us now to think that what he says is obvious; it was not.14 pages© American Mathematical SocietyBenoît B. MandelbrotFractalsFormChanceDimensionScienceNature2012-1010.1090/noti8942015-12-10