Beautiful, Damn Hard, Increasingly Useful. That's Fractals.

I Went To The Computer And Tried To Experiment. I Introduced A Very High Level Of Experiment In Very Pure Mathematics.

The Most Important Thing I Have Done Is To Combine Something Esoteric With A Practical Issue That Affects Many People.

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.

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.

If One Takes The Kinds Of Risks Which I Took, Which Are Colossal, But Taking Risks, I Was Rewarded By Being Able To Contribute In A Very Substantial Fashion To A Variety Of Fields. I Was Able To Reawaken And Solve Some Very Old Problems.