The existence of these patterns [fractals] challenges us to study forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. Mathematicians have disdained this challenge, however, and have increasingly chosen to flee from nature by devising theories unrelated to anything we can see or feel.

Engineering is too important to wait for science.

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

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

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

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.

There is a joke that your hammer will always find nails to hit. I find that perfectly acceptable