- What is the maximum number of pieces into which a pancake can
be cut by
*n*straight cuts, each of which crosses each of the others? - What is the maximum number of pieces that can be produced by
*n*simultaneous straight cuts of a flat figure shaped like a crescent moon? - Into how many parts can the plane be divided by intersecting circles of the same size? Of different sizes? By intersecting ellipses of different sizes?
- How many pieces of cheesecake can be produced by
*n*simultaneous plane cuts of a cylindrical cake? - Into how many regions can space be divided by intersecting spheres?
- What is the maximum number of pieces that can be produced by
*n*simultaneous plane cuts through a doughnut?

Wed Apr 21 08:26:07 EDT 1999