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var('t,i'); n=3
tmin,tmax=[0,0,0],[8.95*pi,12.18*pi,11.77*pi]
f=[sin(1.9*t),1.5*sin(2.3*t),2*sin(1.7*t)]
sum([polar_plot(random()*f[i-1],(tmin[i-1],tmax[i-1]),
color=(0,.07*(i+j),.15*(i+j)),thickness=.5)
for i in [1..n] for j in [1..n]]).show(axes=False)
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