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.

If one takes the kinds of risks which I took, which are colossal, but taking risks, I was rewarded by being able to contribute in a very substantial fashion to a variety of fields. I was able to reawaken and solve some very old problems.

My fate has been that what I undertook was fully understood only after the fact.

I don't seek power and do not run around

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.

Beautiful, damn hard, increasingly useful. That's fractals.

The most complex object in mathematics, the Mandelbrot Set ... is so complex as to be uncontrollable by mankind and describable as 'chaos'.