m1=Manipulate[PolarPlot[Evaluate[Table[(i*t+k/5)*Log[t/5],
{k,0,9}]],{t,0,2\[Pi]},
PlotStyle->ColorData[n,"ColorList"],GridLines->Automatic,
PlotStyle->ColorData[n,"ColorList"],GridLines->Automatic,
PlotRange->{{-14,5},{-7,2}},ImageSize->Large],
{i,1,n},{n,Range[1,24,1]}]
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