If You Assume Continuity, You Can Open

I Conceived, Developed And Applied In Many Areas A New Geometry Of Nature, Which Finds Order In Chaotic Shapes And Processes. It Grew Without A Name Until 1975, When I Coined A New Word To Denote It, Fractal Geometry, From The Latin Word For Irregular And Broken Up, Fractus. Today You Might Say That, Until Fractal Geometry Became Organized, My Life Had Followed A Fractal Orbit.

Science Would Be Ruined If (like Sports) It Were To Put Competition Above Everything Else, And If It Were To Clarify The Rules Of Competition By Withdrawing Entirely Into Narrowly Defined Specialties. The Rare Scholars Who Are Nomads-by-choice Are Essential To The Intellectual Welfare Of The Settled Disciplines.

I Didn't Feel Comfortable At First With Pure Mathematics, Or As A Professor Of Pure Mathematics. I Wanted To Do A Little Bit Of Everything And Explore The World.

The Extraordinary Fact Is That The First Idea I Had Which Motivated Me, That Worked, Is Conjecture, A Mathematical Idea Which May Or May Not Be True. And That Idea Is Still Unproven. It Is The Foundation, What Started Me And What Everybody Failed To **** Prove Has So Far Defeated The Greatest Efforts By Experts To Be Proven.

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.