A Fractal Is A Way Of Seeing

The Existence Of These Patterns [fractals] Challenges Us To Study Forms That Euclid Leaves Aside As Being Formless, To Investigate The Morphology Of The Amorphous. Mathematicians Have Disdained This Challenge, However, And Have Increasingly Chosen To Flee From Nature By Devising Theories Unrelated To Anything We Can See Or Feel.

In Fact, I Barely Missed Being Number One In France In Both Schools. In Particular I Did Very Well In Mathematical Problems.

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

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 You Look At Coastlines, If You Look At That Them From Far Away, From An Airplane, Well, You Don't See Details, You See A Certain Complication. When You Come Closer, The Complication Becomes More Local, But Again Continues. And Come Closer And Closer And Closer, The Coastline Becomes Longer And Longer And Longer Because It Has More Detail Entering In.