When you assess the properties of these random objects, some of the properties may be very well approximated by properties of these regular shapes like the Sierpinski triangle; you know this is one?
Absolutely. I certainly recognised that and in my most recent book on finance, which I will discuss elsewhere in this interview I describe them as being cartoons. A cartoon, a political cartoon, must be resemblant. If you make a cartoon of a statesman or of a figure on stage and people don't immediately recognise some common features, the cartoon is very bad. But one must underline that they have certain restrictions. They are not the same as a whole and complete imitation. I think it's very important to have both cartoons and more realistic structures. The cartoons have the power of representing the essential very often, but have this intrinsic weakness of being in a certain sense predictable. Once you look at the Sierpinski triangle for a very long time you see more consequences of the construction, but they are rather short consequences, they don't require a very long sequence of thinking. In a certain sense, the most surprising, the richest sciences are those in which we start from simple rules and then go on to very, very long trains of consequences and very long trains of consequences, which you are still predicting correctly. Therefore for me this possibility of going very far from the initial deliberate construction, and of predicting phenomena, which were not consciously put in is extremely valuable. And that's why I always play in parallel with cartoons and with the models proper. I'm very aware of it, I do it quite schematically.