The Most Complex Object In Mathematics, The

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.

Some Mathematicians Didn't Even Perceive Of The Possibility Of A Picture Being Helpful. To The Contrary, I Went Into An Orgy Of Looking At Pictures By The Hundreds; The Machines Became A Little Bit Better.

Smooth Shapes Are Very Rare In The Wild But Extremely Important In The Ivory Tower And The Factory.

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.

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.