Chapter Six
Fractal Geometry
It can be argued that the mathematics behind these images [of the orbit diagram for quadratic functions and the Mandelbrot set] is even prettier than the pictures themselves.
—Exit book to another website.Robert L. Devaney (1948–  )
from "The Orbit Diagram and the Mandelbrot Set," College Mathematics Journal, Vol. 22, no. 1, Jan. 1991

The sections hopefully will be written in the future; until then, here are a few web links to get you started in your investigations.

Wikipedia - the pages contain many good dynamic diagrams.  
     Exit book to another website.  Benoit Mandelbrot   Exit book to another website. Gaston Julia

     Exit book to another website.  Fractal

     Exit book to another website.  Fractal Art                Exit book to another website.  Fractal Landscape
 
    Exit book to another website.  Fractal Dimension     Exit book to another website.  List of Fractals by Hausdorf Dimension

     Exit book to another website.  Julia Set                    Exit book to another website.  Mandelbrot Set            Exit book to another website. Cantor Set
     Exit book to another website.  Koch Snowflake       Exit book to another website.  Sierpinski Triangle        Exit book to another website.  Chaos Game

 

 

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  Timothy Peil  Mathematics Dept.  MSU Moorhead

© Copyright 2005, 2006 - Timothy Peil