Due by Monday, Nov 22 (email to dasgupta@cs).

Write down the equation for an ellipse.
Suppose this ellipse represents a mouse in a cage, as shown in the lecture. Devise a simple rule for classifying the shape of the ellipse into three categories: sit, walk, stretch. Your answer should be stated in terms of the parameters of the ellipse.
Note that there are several ways of writing the equation for an ellipse -- all of which involve 5 parameters -- but some are easier to work with than others.