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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