Turtle did something stupid, and gave Racoon a book;
It just sat on the shelf, until Geometry overtook!!..............
The Fractal Geometry of Nature.
What is a Koch Pyramid?
Poincares remark that " there are questions that one chooses to ask and other questions that ask themselves "....
FRACTAL is a word invented by Mandelbrot to bring together under on heading a large class of objects that have [played]... an historical role... in the development of pure Mathmatics"....
Heres the discussion point: Dimension, Symmetry, and Dirvegence found in nature to have mathmatical principles behind them...
It talks about Euclidean Stuff...
Says " The homogenous distribution on a line, plane, or space has two very desirable properties. It is invariant under displacement, and it is invariant under change of scale. When we move on to Fractals, either invariance must be modified and/or restricted in its scope. Hence the best fractals are those that exhibit the Maximum of invariance."
Lots of formulas my keyboard won't type.
Anyone have any ideas on Geometric function found in Nature?
How leaves form a uniform pattern, usually??
The Book I am Referring to is called " The Fractal Geometry of Nature" by Mandelbrot; Published by Freeman and co. New York, originally in 1977 and this copy is 1983...
Talks about Math related to:
>Galaxies and Eddies
> Scaling
> Self- mapping
> Randomness
> Stratified random
> logic of Fractals in Statistical Lattice Physics
> Random midpoint Displacement curves
and a whole lot more......
My Math level is College Algebra. I haven't had any Calculus..
So I am asking the boundry-less brains of this forum...
