PolarPlot[(1+0.9 Cos[8t]) (1+0.1 Cos[24t]) (0.9+0.05 Cos[200t]) (1+Sin[t]), {t, -pi, pi}]PolarPlot[(1+0.9 Cos[8t]) (1+0.1 Cos[24t]) (0.9+0.05 Cos[200t]) (1+Sin[t]), {t, -pi, pi}]

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