High Quality Content by WIKIPEDIA articles! The classical mathematical puzzle known as water, gas, and electricity, the (three) utilities problem, or sometimes the three cottage problem, can be stated as follows: Suppose there are three cottages on a plane (or sphere) and each needs to be connected to the gas, water, and electric companies. Using a third dimension or sending any of the connections through another company or cottage are disallowed. Is there a way to make all nine connections without any of the lines crossing each other? This is intended as an abstract mathematical puzzle and imposes constraints that would not be issues in a practical engineering scenario. There is no correct solution: it is impossible to connect the three cottages with the three different utilities without at least one of the connections crossing another.

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