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\newedcommand<<5>>prob<<5>>[3]<<34>>\item[\textbf<<6>>#1.<<6>>] (\textit<<7>>expires #2<<7>>)\quad<<8>>#3<<8>><<34>>\end<<55>>tex2html_nowrap<<55>> 
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\begin<<23>>center<<23>>
<<24>>\begin<<72>>tex2html_deferred<<72>>\large\end<<73>>tex2html_deferred<<73>>Math 331, Fall 2004<<24>>
\end<<25>>center<<25>>
\begin<<26>>enumerate<<26>>
\begin<<74>>tex2html_deferred<<74>>\par\end<<75>>tex2html_deferred<<75>>
\item<<27>>
Write a TurtleCmd procedure that draws the \begin<<44>>tex2html_wrap_inline<<44>>$n$\end<<45>>tex2html_wrap_inline<<45>>-th
approximation of a fractal of your choice (not one saw in class) and
calculate its box-counting dimension. 
<<27>>
\item<<28>>
Write a TurtleCmd procedure that draws the \begin<<46>>tex2html_wrap_inline<<46>>$n$\end<<47>>tex2html_wrap_inline<<47>>-th
approximation of a fractal of your choice (not seen in class) and
calculate its box-counting dimension. 
<<28>>
\begin<<76>>tex2html_deferred<<76>>\par\end<<77>>tex2html_deferred<<77>>
\item<<39>>
Construct a Cantor set whose box counting dimension is \begin<<48>>tex2html_wrap_inline<<48>>$1/2$\end<<49>>tex2html_wrap_inline<<49>>.
Explain a general algorithm for constructing a Cantor set with <<29>>\begin<<78>>tex2html_deferred<<78>>\em\end<<79>>tex2html_deferred<<79>>
any<<29>> given box dimension \begin<<50>>tex2html_wrap_inline<<50>>$0 ;SPMlt; d ;SPMlt; 1$\end<<51>>tex2html_wrap_inline<<51>>.
[\textit<<30>>You can do this on Maple or by hand.<<30>>]
<<39>>
\begin<<80>>tex2html_deferred<<80>>\par\end<<81>>tex2html_deferred<<81>>
\item<<31>>
Write an IFS procedure 
 to draw 
the 
\begin<<52>>tex2html_wrap_inline<<52>>$n$\end<<53>>tex2html_wrap_inline<<53>>-th approximation of a fractal of your choice (not one seen in class) 
and compute its box-counting dimension.
<<31>>
\end<<32>>enumerate<<32>>
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\noindent
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\end<<33>>document<<33>>