The beauty of what I happened by extraordinary chance to put together is that nobody would have believed that this is possible, and certainly I didn'….

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

I was in an industrial laboratory because academia found me unsuitable.

Humanity has known for a long time what fractals are. It is a very strange situation in which an idea which each time I look at all documents have de….

Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time..

The straight line has a property of self-similarity. Each piece of the straight line is the same as the whole line when used to a big or small extent..

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 p….

I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the ….

A fractal is a way of seeing infinity..

An extraordinary amount of arrogance is present in any claim of having been the first in inventing something..

Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are si….

I don't seek power and do not run around.

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

Everybody in mathematics had given up for 100 years or 200 years the idea that you could from pictures, from looking at pictures, find new ideas. Tha….

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

The techniques I developed for studying turbulence, like weather, also apply to the stock market.

Some mathematicians didn't even perceive of the possibility of a picture being helpful. To the contrary, I went into an orgy of looking at pictures b….

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 ma….

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

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 ….

Nobody will deny that there is at least some roughness everywhere.