“Nobody will deny that there is at least some roughness everywhere”

A fractal is a way of seeing infinity.

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.

Order doesn’t come by itself.

My life has been extremely complicated. Not by choice at the beginning at all, but later on, I had become used to complication and went on accepting things that other people would have found too difficult to accept.

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 again, the same seen from close by and far away, and which are far from being straight or plane or solid.

The theory of probability is the only mathematical tool available to help map the unknown and the uncontrollable. It is fortunate that this tool, while tricky, is extraordinarily powerful and convenient.

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

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.

The rare scholars who are nomads-by-choice are essential to the intellectual welfare of the settled disciplines.

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

Asking the right questions is as important as answering them

If you have a hammer, use it everywhere you can, but I do not claim that everything is fractal.

The theory of chaos and theory of fractals are separate, but have very strong intersections. That is one part of chaos theory is geometrically expressed by fractal shapes.

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

I don’t seek power and do not run around

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

I locked in on the smug feeling of superiority that married couples give off and that permeated the air – the shared assumptions, the sweet and contented apathy, it all lingered everywhere – despite the absence in the room of anyone single at which to aim this.

A lot of people say that Eleanor Roosevelt wasn’t a good mother. And there are two pieces to that story. One is, when they were very young, she was not a good mother. She was an unhappy mother.

I have a very happy, healthy relationship with the country, so it’s really easy to go everywhere because I always have Iceland to go back to. It’s sort of a contradiction, but that’s how it works somehow.

I’ve been a slave to football. It follows you home, it follows you everywhere, and eats into your family life. But every working man misses out on some things because of his job.

The world is the same everywhere.

Commuting in a wheelchair is not easy. I live in a very old part of Rome. These cobbles everywhere… terrible! In London, it is the same. Every pavement is uneven.

There will always be leaks; in Washington, everywhere.

I ran everywhere in the city like a fly buzzing in the works of a clock, tasted more than any fit belly could hold, learned not to sleep, and buried myself in a tick-tock of whirling hours that still echo in me.