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{\Large MAT 331, Fall 2002}\\[\baselineskip]
{\Large\bf Project 3: Fractals}\\[.25\baselineskip]
{\large\it Due Wednesay, December 11}
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In this project, you are asked to define a fractal of your choice
whose box-counting dimension is $\log 5/ \log 4$. Describe clearly how
you construct such a set and \textbf{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 {\tt
http://www.math.sunysb.edu/\~{}mat331/Worksheets/IFS.mws}).
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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.
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\textbf{Bonus:} Do the same thing for a fractal of box dimension $\log
7/ \log 4$.
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