Cut a pizza off-center into 8 slices, then split them into two groups by alternating
Pick any point on a pizza, not necessarily the center, and cut through it at four different angles, evenly spaced 45 degrees apart, producing 8 wedge-shaped slices. Give every other slice to one person and the remaining slices to a second person. Despite the off-center cuts, is there any reason to expect each person gets the same amount of pizza?
Reveal the answer
Yes, remarkably, both people always get exactly the same total area, no matter where the off-center point is chosen. Mathematicians Larry Carter and Stan Wagon proved this result in 1994 and named it the pizza theorem, a surprising fact about fair division that holds only when the pizza is cut into a multiple of 8 slices this way.