SF[a_,b_,c_,d_,t_]:={
  Sin[t/6]+a*Sin[b*t]Cos[t]+c*Sin[2^d*b *t],
  Cos[t/6]+a Sin[b*t]*Sin[t]+c*Cos[16b*t]};
PSF[a_,b_,c_,d_]:=ParametricPlot[
PSF[a_,b_,c_,d_]:=ParametricPlot[
  {SF[a,b,c,d,t],SF[a,b,c,d,t]},
  {t,0,12Pi},PlotRange->All,
  Background->RGBColor["silver"],
  PlotPoints->200,Axes->False,
  PlotLabel->{"a"->a,"b"->b,"c"->c,"d"->d},
  PlotStyle->{{RGBColor["mintcream"],
  Thickness[.012]},
  {RGBColor[RandomReal[.9,3]],Thickness[.002]}},
  ImageSize->600];
PSF[RandomReal[{.5,1.5}]*RandomChoice[{-1,1}],
PSF[RandomReal[{.5,1.5}]*RandomChoice[{-1,1}],
         RandomInteger[{3,12}],
         RandomReal[{.01,.1}]*RandomChoice[{-1,1}],
         RandomInteger[{3,6}]]
 
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