“Order doesn’t come by itself.”

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.

Everything is roughness, except for the circles. How many circles are there in nature? Very, very few. The straight lines. Very shapes are very, very smooth. But geometry had laid them aside because they were too complicated.

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.

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.

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…

As the eye waits on the rising of the Sun which in its own time appears above the horizon and gives itself to our sight.

Beauty addresses itself chiefly to sight, but there is a beauty for the hearing too.

As if the ocean somehow doesn’t matter or is so big, so vast that it can take care of itself, or that there is nothing that we could possibly do that we could harm the ocean.

In a way, the whole tangible universe itself is a vast residue, a skeleton of countless lives that have germinated in it and have left it, leaving behind them only a trifling, infinitesimal part of their riches.

In the final analysis, the questions of why bad things happen to good people transmutes itself into some very different questions.

The internal effects of a mutable policy poisons the blessings of liberty itself.

Religious belief itself is an adaptation that has evolved because we’re hard-wired to form tribalistic religions.

When you are younger you get blamed for crimes you never committed and when you’re older you begin to get credit for virtues you never possessed. It evens itself out.