A Formula Can Be Very Simple, And

The Most Important Thing I Have Done Is To Combine Something Esoteric With A Practical Issue That Affects Many People.

A Fractal Is A Mathematical Set Or Concrete Object That Is Irregular Or Fragmented At All Scales...

I Claim That Many Patterns Of Nature Are So Irregular And Fragmented, That, Compared With Euclid - A Term Used In This Work To Denote All Of Standard Geometry - Nature Exhibits Not Simply A Higher Degree But An Altogether Different Level Of Complexity ... The Existence Of These Patterns Challenges Us To Study These Forms That Euclid Leaves Aside As Being "formless," To Investigate The Morphology Of The "amorphous."

The Theory Of Probability Is The Only Mathematical Tool Available To Help Map The Unknown And The Uncontrollable. It Is Fortunate That This Tool, While Tricky, Is Extraordinarily Powerful And Convenient.

The Rare Scholars Who Are Nomads-by-choice Are Essential To The Intellectual Welfare Of The Settled Disciplines.