Random Polar Plots as Exercises 2

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var('t,i'); tmin,tmax,n=-pi,pi,12

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f1(t,i)=(randint(5,10)+.9*cos(randint(11,20)*t+pi*i/n))

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f2(t,i)=(1+.1*cos(randint(25,100)*t+pi*i/n))

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f3(t,i)=(1+.01*cos(randint(200,300)*t+pi*i/n))

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f(t,i)=f1(t,i)*f2(t,i)*f3(t,i)*(1+sin(t+pi*i/n))

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sum([polar_plot(f(t,i),(tmin,tmax),

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                thickness=.5,color=hue(i/n)) 

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     for i in [1..2*n]]).show(axes=False,figsize=6)

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