"Science would be ruined if (like sports) it were to put competition above everything else, and if it were to clarify …"

"I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and pr…"

"There is no single rule that governs the use of geometry. I don't think that one exists."

"The Mandelbrot set is the modern development of a theory developed independently in 1918 by Gaston Julia and Pierre F…"

"My life seemed to be a series of events and accidents. Yet when I look back I see a pattern."

"How Long Is the Coast of Britain?"

"Being a language, mathematics may be used not only to inform but also, among other things, to seduce."

"A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales..."

"I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid — a term used in thi…"

"For most of my life, one of the persons most baffled by my own work was myself."