MAT 331, Fall 2002

**Project 3: Fractals**

*Due Wednesay, December 11*

In this project, you are asked to define a fractal of your choice
whose box-counting dimension is
. Describe clearly how
you construct such a set and **prove** that its dimension is the
requested number. Also, plot the first 6 approximating
curves to the fractal, using either a TurtleCmd procedure or IFS (see `http://www.math.sunysb.edu/~mat331/Worksheets/IFS.mws`).

As always, pay attention to clarity of exposition; and describe what you do at each step from a mathematical viewpoint, not as a commentary on how to use Maple. In your proof you can use the results we proved in class.

**Bonus:** Do the same thing for a fractal of box dimension
.

MAT 331 2002-11-13