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

I had many books and I had dreams of all kinds. Dreams in which were in a certain sense, how to say, easy to make because the near future was always extremely threatening.

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.

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

I conceived, developed and applied in many areas a new geometry of nature, which finds order in chaotic shapes and processes. It grew without a name until 1975, when I coined a new word to denote it, fractal geometry, from the Latin word for irregular and broken up, fractus. Today you might say that, until fractal geometry became organized, my life had followed a fractal orbit.

Fractal geometry is not just a chapter of mathematics, but one that helps Everyman to see the same world differently.

The Mandelbrot set is the most complex mathematical object known to mankind.