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 you assume continuity, you can open the well-stocked mathematical toolkit of continuous functions and differential equations, the saws and hammers of engineering and physics for the past two centuries (and the foreseeable future).

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.

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

Bottomless wonders spring from simple rules, which are repeated without end.

Nobody will deny that there is at least some roughness everywhere

I was in an industrial laboratory because academia found me unsuitable