There Are Very Complex Shapes Which Would

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 Spent Half My Life, Roughly Speaking, Doing The Study Of Nature In Many Aspects And Half Of My Life Studying Completely Artificial Shapes. And The Two Are Extraordinarily Close; In One Way Both Are Fractal.

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.

When People Ask Me What's My Field? I Say, On One Hand, A Fractalist. Perhaps The Only One, The Only Full-time One.

Pictures Were Completely Eliminated From Mathematics; In Particular When I Was Young This Happened In A Very Strong Fashion.