begin{figure}[h]
begin{center}
includegraphics[scale=1.5]{spiral.pdf}
label{spiral}
end{center}
caption{Projection of $mathds{R}$ onto $S^1$.}
end{figure}
   ref{introduction}. The main idea of this proof is to compare paths in $S^1$ with paths in $mathds{R}$. We are going to do this by imagining $mathds{R}$ to be a helix in $mathds{R}^3$ as seen in the ref{spiral.pdf}.