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

Now that I near 80, I realize with wistful pleasure that on many occasions I was 10, 20, 40, even 50 years ahead of my time.

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.

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 irregularities at a smaller scale.

Pictures were completely eliminated from mathematics; in particular when I was young this happened in a very strong fashion.

I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals.