\input epsf
\nopagenumbers
\magnification=\magstep1

\input pictex
\def\sqpic{
\beginpicture
\setcoordinatesystem units <1truein,1truein>
\putrule from -1 -1 to -1 1
\putrule from -1 1 to 1 1
\putrule from 1 1 to 1 -1
\putrule from 1 -1 to -1 -1
\setlinear  
\plot 0 -1  -1 0  0 1 1 0  0 -1 /
\putrule from -.5 -.5 to -.5 .5
\putrule from -.5 .5 to .5 .5
\putrule from .5 .5 to .5 -.5
\putrule from .5 -.5 to -.5 -.5
\setlinear  
\plot 0 -.5  -.5 0  0 .5 .5 0  0 -.5 /
\putrule from -.25 -.25 to -.25 .25
\putrule from -.25 .25 to .25 .25
\putrule from .25 .25 to .25 -.25
\putrule from .25 -.25 to -.25 -.25
\endpicture}%Thanks, Gene Speer!
\vtop{\hsize=3.6in
\noindent {\bf Problem statement} 
Suppose that you draw a $2''\times 2''$ square, then join the
midpoints of its sides to make another square, then join the midpoints
of {\it that}\/ square's sides to form another square, etc. Will the
total length of the figure you are drawing be finite?
}

\vskip -.8in
\rightline{\sqpic}










\vfil\eject\end