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

Many Painters Had A Clear Idea Of What Fractals Are. Take A French Classic Painter Named Poussin. Now, He Painted Beautiful Landscapes, Completely Artificial Ones, Imaginary Landscapes. And How Did He Choose Them? Well, He Had The Balance Of Trees, Of Lawns, Of Houses In The Distance. He Had A Balance Of Small Objects, Big Objects, Big Trees In Front And His Balance Of Objects At Every Scale Is What Gives To Poussin A Special Feeling.

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.

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

The Mandelbrot Set Is The Most Complex Mathematical Object Known To Mankind.

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.