“Both chaos theory and fractal have had contacts in the past when they are both impossible to develop and in a certain sense not ready to be developed.”

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.

Nobody will deny that there is at least some roughness everywhere

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.

A formula can be very simple, and create a universe of bottomless complexity.

In mathematics and science definition are simple, but bare-bones. Until you get to a problem which you understand it takes hundreds and hundreds of pages and years and years of learning.

Why is geometry often described as cold and dry? One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline or a tree.

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

I’ve been a professor of mathematics at Harvard and at Yale. At Yale for a long time. But I’m not a mathematician only. I’m a professor of physics, of economics, a long list. Each element of this list is normal. The combination of these elements is very rare at best.

There is a saying that every nice piece of work needs the right person in the right place at the right time.

I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.

Engineering is too important to wait for science.

Life is chaotic. It’s messy. That’s what Jesus was stepping into.

Introduce a little anarchy, upset the established order, and everything becomes chaos. I’m an agent of chaos, and you know the thing about chaos? It’s fair.

Its not the chaos that brings us peace, but the uniqueness of how we make sense out of it.

I’m addicted to perfection. Problem with my life is I was always also addicted to chaos. Perfect chaos.

I teach people that no matter what the situation is, no matter how chaotic, no matter how much drama is around you, you can heal by your presence if you just stay within your center.

There is no greater feeling than hanging out with my dogs, or just walking around the land with our horses. My rescue ranch is is where I feel the most at peace and where I’m reminded of the simple things in life and let the chaos of my crazy work life fade away.

All great changes are preceded by chaos.

In the midst of movement and chaos, keep stillness inside of you.