You could also argue that it is a matter of perspective. From the perspective of either circle, A will only revolve 3 times. Only by introducing a larger frame

You could also argue that it is a matter of perspective. From the perspective of either circle, A will only revolve 3 times. Only by introducing a larger frame of reference, a grid or in the video a table, you gain an outside perspective. From this outside perspective you redefine a revolution according to some new orientation and end up with n+1 revolutions. Or maybe the argument is backwards and I just try to justify answering 3.