I Didn't Feel Comfortable At First With

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.

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.

An Extraordinary Amount Of Arrogance Is Present In Any Claim Of Having Been The First In Inventing Something.

Why Is Geometry Often Described As Cold And Dry? One Reason Lies In Its Inability To Describe The Shape Of A Cloud, A Mountain, A Coastline Or A Tree.

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.