Self-similarity is a dull subject because you are used to very familiar shapes. But that is not the case. Now many shapes which are self-similar agai….

Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed..

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….

Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line..

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

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

There are very complex shapes which would be the same from close by and far away..

I was asking questions which nobody else had asked before, because nobody else had actually looked at certain structures. Therefore, as I will tell, ….

If you look at coastlines, if you look at that them from far away, from an airplane, well, you don't see details, you see a certain complication. Whe….

It was astonishing when at one point, I got the idea of how to make artifical clouds with a collaborator, we had pictures made which were theoretical….

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 th….

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, whi….

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….

The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of ….

Order doesn't come by itself..

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

For most of my life, one of the persons most baffled by my own work was myself..

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

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, b….

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 irregul….

If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial ….