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How to draw closed curve with ListPolarPlot?


I have a set of {theta, r} (say, size n), and want to plot them with
ListPolarPlot.
I want the first and last points are connected to get a closed curve.
How can I do it?

I tried to repeat the first data as the (n+1)th data.  Then, it looked
fine with the option of "Joined->True".  But when I added
"InterpolationOrder->2", the last two points were connected very
strange.

Is there any method to apply the interpolation feature and have a
closed curve?  Thanks a lot.



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