Daily Archives: January 2, 2010

Getting Your Fair Share of Pizza … or Not

Not that long ago, I pointed out how you could have yourself a mathematically correct breakfast. Now I’m going to point out a recent paper from American Mathematical Monthly, Of Cheese and Crust, that provides a proof of the pizza conjecture. That’s right, it seems a couple of mathematicians have had nothing better to do for the past two decades or so than prove that if a pizza is cut into an odd number of pieces through a point of concurrency that is not the centre, then whomever gets the centre gets the most pizza (when the pieces are divided up in an alternating fashion).

It was already known that if the pizza was cut into an even number of pieces than it could be divided equally between two people if each person took an alternating slice. But we definitely needed this proof!