The Most Complex Object In Mathematics, The

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.

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.

Everybody In Mathematics Had Given Up For 100 Years Or 200 Years The Idea That You Could From Pictures, From Looking At Pictures, Find New Ideas. That Was The Case Long Ago In The Middle Ages, In The Renaissance, In Later Periods, But Then Mathematicians Had Become Very Abstract.

Engineering Is Too Important To Wait For Science.

Bottomless Wonders Spring From Simple Rules, Which Are Repeated Without End.