In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.

Regular 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.

I 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.

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

A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales...

In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.

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 by the hundreds; the machines became a little bit better.