For much of my life there was no place where the things I wanted to investigate were of interest to anyone.

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

Think of color, pitch, loudness, heaviness, and hotness. Each is the topic of a branch of physics

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

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 theoretically completely artificial pictures based upon that one very simple idea. And this picture everybody views as being clouds.

Unfortunately, the world has not been designed for the convenience of mathematicians.

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