\documentclass{standalone}
\usepackage{luamplib}
\begin{document}
\mplibtextextlabel{enable}
\begin{mplibcode}
beginfig(1);
 numeric a; a = 2.6; path S;
 S = right for t=1 upto 360: .. a ** (t/64) * dir 4t endfor;
 drawarrow S;
 % input ruler-cm
endfig;
\end{mplibcode}
\end{document}