Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

I had very, very little training in taking an exam to determine a scientist's life in France.

One of the high points of my life was when I suddenly realized that this dream I had in my late adolescence of combining pure mathematics, very pure mathematics with very hard things which had been long a nuisance to scientists and to engineers, that this combination was possible and I put together this new geometry of nature, the fractal geometry of nature.

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

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

It was a very big gamble. I lost my job in France, I received a job in which was extremely uncertain, how long would IBM be interested in research, but the gamble was taken and very shortly afterwards, I had this extraordinary fortune of stopping at Harvard to do a lecture and learning about the price variation in just the right way.

In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.