\documentclass[border=5mm]{standalone}
\usepackage{animate}
\usepackage{pst-spirograph}
\addtopsstyle{gridstyle}{gridlabels=0pt}
\begin{document}

\begin{animateinline}[
  width=0.9\linewidth,
  begin={\begin{pspicture}[showgrid](-3.5,-3.5)(3.5,3.5)\psframe*[linecolor=yellow,opacity=0.4](-3.5,-3.5)(3.5,3.5)},
  end={\end{pspicture}},
  palindrome,controls,
%  autoplay
]{5}
\multiframe{180}{iA=0+4}{%
  \psSpirograph[thetamax=\iA,Z1=122,Z2=69,m=0.05,ap=10,curvewidth=1.1pt,
    linewidth=0.025,fillstyle=solid,polarangle=\iA,holenumber=4,opacity=0.5](0,0)}
\end{animateinline}

\end{document}


