Question: Plotting the image of a set in the plane


What I want is quite simple but I have not seen it implemented anywhere yet. 

I have an explicit map F from the plane into itself. (not an ODE but simply a map) 

Then I have a set X, (something like a line segment or a rectangle in the plane) for which I 

really need to keep track of the images $F(X), F^2(X), F^3(X)$, and so on.

Is there a way to plot the image of a set in Maple? 

Thank you very much for your interests in the question. 



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