The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.
Benoit MandelbrotThe rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.
Benoit MandelbrotI didn't want to become a pure mathematician, as a matter of fact, my uncle was one, so I knew what the pure mathematician was and I did not want to be a pure - I wanted to do something different.
Benoit MandelbrotThere is a saying that every nice piece of work needs the right person in the right place at the right time.
Benoit MandelbrotRegular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.
Benoit Mandelbrot