A Fractal Is A Way Of Seeing

I've Been A Professor Of Mathematics At Harvard And At Yale. At Yale For A Long Time. But I'm Not A Mathematician Only. I'm A Professor Of Physics, Of Economics, A Long List. Each Element Of This List Is Normal. The Combination Of These Elements Is Very Rare At Best.

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.

I Was Asking Questions Which Nobody Else Had Asked Before, Because Nobody Else Had Actually Looked At Certain Structures. Therefore, As I Will Tell, The Advent Of The Computer, Not As A Computer But As A Drawing Machine, Was For Me A Major Event In My Life. That's Why I Was Motivated To Participate In The Birth Of Computer Graphics, Because For Me Computer Graphics Was A Way Of Extending My Hand, Extending It And Being Able To Draw Things Which My Hand By Itself, And The Hands Of Nobody Else Before, Would Not Have Been Able To Represent.

If You Look At Coastlines, If You Look At That Them From Far Away, From An Airplane, Well, You Don't See Details, You See A Certain Complication. When You Come Closer, The Complication Becomes More Local, But Again Continues. And Come Closer And Closer And Closer, The Coastline Becomes Longer And Longer And Longer Because It Has More Detail Entering In.

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.