One Couldn't Even Measure Roughness. So, By

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.

When People Ask Me What's My Field? I Say, On One Hand, A Fractalist. Perhaps The Only One, The Only Full-time One.

Being A Language, Mathematics May Be Used Not Only To Inform But Also, Among Other Things, To Seduce.

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

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.