Why Is Geometry Often Described

When The Weather Changes And Hurricanes Hit, Nobody Believes That The Laws Of Physics Have Changed. Similarly, I Don't Believe That When The Stock Market Goes Into Terrible Gyrations Its Rules Have Changed. It's The Same Stock Market With The Same Mechanisms And The Same People.

The Theory Of Chaos And Theory Of Fractals Are Separate, But Have Very Strong Intersections. That Is One Part Of Chaos Theory Is Geometrically Expressed By Fractal Shapes.

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.

Everybody In Mathematics Had Given Up For 100 Years Or 200 Years The Idea That You Could From Pictures, From Looking At Pictures, Find New Ideas. That Was The Case Long Ago In The Middle Ages, In The Renaissance, In Later Periods, But Then Mathematicians Had Become Very Abstract.

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.