Smooth shapes are very rare in the wild but extremely important in the ivory tower and the factory.

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

When people ask me what's my field? I say, on one hand, a fractalist. Perhaps the only one, the only full-time one.

Bottomless wonders spring from simple rules, which are repeated without end.

I spent my time very nicely in many ways, but not fully satisfactory. Then I became Professor in France, but realized that I was not - for the job that I should spend my life in.

If you look at a shape like a straight line, what's remarkable is that if you look at a straight line from close by, from far away, it is the same; it is a straight line.

Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes are very, very smooth. But geometry had laid them aside because they were too complicated.