The Existence Of These Patterns [fractals] Challenges

It Was Astonishing When At One Point, I Got The Idea Of How To Make Artifical Clouds With A Collaborator, We Had Pictures Made Which Were Theoretically Completely Artificial Pictures Based Upon That One Very Simple Idea. And This Picture Everybody Views As Being Clouds.

The Most Complex Object In Mathematics, The Mandelbrot Set ... Is So Complex As To Be Uncontrollable By Mankind And Describable As 'chaos'.

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."

Everything Is Roughness, Except For The Circles. How Many Circles Are There In Nature? Very, Very Few. The Straight Lines. Very Shapes Are Very, Very Smooth. But Geometry Had Laid Them Aside Because They Were Too Complicated.

I Was In An Industrial Laboratory Because Academia Found Me Unsuitable