How to Slice a Cake Fairly

Mathematicians work out a fairer way for two people to share cake.

By Julie Rehmeyer, 00:00 AM December 14, 2006

Sharing can be hard. Every kid knows that, and mathematicians do, too. So mathematicians have spent a lot of time thinking about how to make sharing easier.

Mathematicians are particularly fond of sharing birthday cake. Not just any birthday cake, but one with lots of icing and various decorations, with nuts here and coconut there. Then they ask, if two people like different parts of the cake better, how can they divide the cake into two pieces so that they're both satisfied with the piece th...

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