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var('u,i'); f1(u,i)=i*(9+.9*cos(12*u))
f2(u,i)=(1+.05*cos(36*u))
f3(u,i)=(1+.05*cos(216*u))*(1+sin(u))
sum([polar_plot(
f1(u,i)*f2(u,i)*f3(u,i),(u,-pi,pi),
color=(0,1-.3*i,0),thickness=.7,plot_points=200)
for i in [.1,.2,..,3]]).show(axes=False)
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