A cloud is made of billows upon billows upon billows that look like clouds. As you come closer to a cloud you don't get something smooth, but irregularities at a smaller scale.

I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.

I went to the computer and tried to experiment. I introduced a very high level of experiment in very pure mathematics.

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

When the weather changes and hurricanes hit, nobody believes that the laws of physics have changed. Similarly, I don't believe that when the stock market goes into terrible gyrations its rules have changed. It's the same stock market with the same mechanisms and the same people.

The Mandelbrot set is the most complex mathematical object known to mankind.

There is a saying that every nice piece of work needs the right person in the right place at the right time.