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def _(N=(11,0,-1)):
var('t');
p=sum([polar_plot((.5*j+1)*sin(6*t)^2,(pi*i/6,pi*(i+1)/6),
color=colormaps.jet(20*i)[:3])
for i in [0..N] for j in range(3)])
show(p,figsize=6,gridlines=True,
ymin=-2,ymax=2,xmin=-2,xmax=2)
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