Cutting a Cake


after H.S.M. Coxeter

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A square with a 5x5 grid on it represents a tasty cake like that shown in the illustration. To solve the puzzle simply use the printable version of the cake - from PDF downloadable.

Your task is to divide this cake into five pieces in such a way that each piece has the same volume.

All the cuts must be "conventional" - each cut has to go straight exactly from the central point of the cake to its edges, and every cut's plane has to be perpendicular to the cake's base. In this case we'll consider any two pieces as being equal if their top surfaces are equal.

To solve the puzzle you are not allowed to use any measuring tools except the square grid itself and the central point of the cake (the center of a 5x5 square).

Last Updated: September 20, 2005
PDF Version (160 KB)

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