Try to prove any conjectures available to you. Notice that because the only information you started with was a pizza and a cutting instrument, you will have to use that information in any proof you craft. (You may be able to show that some of your conjectures are logically equivalent to others, but to complete a combinatorial proof of a recurrence relation or closed-form formula, you must link back to the situation of the pizza.)
Now consider a large yam. Your mad scientist laboratory has a laser-cutter chamber in which you can mount the yam; the lasers are able to rotate around it so that cuts can be made at any angle. A cut yam is shown in Figure 9.2.
