Pictures Were Completely Eliminated From Mathematics; In

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

A Fractal Is A Way Of Seeing Infinity.

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.

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.

The Theory Of Chaos And Theory Of Fractals Are Separate, But Have Very Strong Intersections. That Is One Part Of Chaos Theory Is Geometrically Expressed By Fractal Shapes.