\documentclass{article}
\usepackage[a5paper,margin=5mm]{geometry}
\usepackage{pst-solides3d}
\usepackage{animate}
\pagestyle{empty}

\begin{document}

\begin{center}
\begin{animateinline}[controls,autoplay,loop,
  begin={\begin{pspicture}(-6,-6)(6,6)},
  end={\end{pspicture}}]{8}
\multiframe{18}{iA=0+20}{%%%% CHANGE 1 to 18 for an animation
  \psset{lightsrc=viewpoint,viewpoint=40 \iA\space 20 rtp2xyz,Decran=50}
  \psSolid[object=grille,base=-4 4 -4 4,ngrid=8 8,linecolor={[rgb]{0 0 0.5}}](0,0,-3.2)
  \psImplicitSurface[XMinMax=-2 2 0.2,YMinMax=-2 2 0.2,ZMinMax=-3 3 0.2,
           algebraic,ImplFunction=x^2+y^2-(ln(z+3.2))^2-0.02,
           fillcolor=cyan!20,hollow,incolor=white,hue=.1 .8 0.5 1,
           linewidth=0.01pt]%
}
\end{animateinline}
\end{center}

\end{document} 