There are very complex shapes which would be the same from close by and far away.

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.

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

The techniques I developed for studying turbulence, like weather, also apply to the stock market

Regular geometry, the geometry of Euclid, is concerned with shapes which are smooth, except perhaps for corners and lines, special lines which are singularities, but some shapes in nature are so complicated that they are equally complicated at the big scale and come closer and closer and they don't become any less complicated.

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.

For most of my life, one of the persons most baffled by my own work was myself.