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\begin{document}

\begin{center}
{\large Math 331, Fall 2004}
\end{center}
\begin{enumerate}


\item{
Compute the . 
}
\includegraphics{snowflake2.gif}
\item{
Write a TurtleCmd procedure that draws the $n$-th
approximation of a fractal of your choice (not seen in class) and
calculate its box-counting dimension. 
}

\item{
Construct a Cantor set whose box counting dimension is $1/2$.
Explain a general algorithm for constructing a Cantor set with {\em 
any} given box dimension $0 < d < 1$.
[\textit{You can do this on Maple or by hand.}]
}



\item{
Write an IFS procedure 
 to draw 
the 
$n$-th approximation of a fractal of your choice (not one seen in class) 
and compute its box-counting dimension.
}
\end{enumerate}

\bigskip
\par\noindent



\end{document}

