Order Doesn't Come By Itself.

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.

The Straight Line Has A Property Of Self-similarity. Each Piece Of The Straight Line Is The Same As The Whole Line When Used To A Big Or Small Extent.

Clouds Are Not Spheres, Mountains Are Not Cones, Coastlines Are Not Circles, And Bark Is Not Smooth, Nor Does Lightning Travel In A Straight Line.

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.

One Of The High Points Of My Life Was When I Suddenly Realized That This Dream I Had In My Late Adolescence Of Combining Pure Mathematics, Very Pure Mathematics With Very Hard Things Which Had Been Long A Nuisance To Scientists And To Engineers, That This Combination Was Possible And I Put Together This New Geometry Of Nature, The Fractal Geometry Of Nature.