Question: A circuit is to be laid out on a computer chip in a single layer. The design includes five terminals (think of them as points to which multiple electrical circuits may be connected) that need to be connected so that it is possible for a current to go from any one of them to any other without sending current to a third. The connections are made with a narrow layer of metal deposited on the surface of the chip, which we will think of as a wire on the surface of the chip. Thus if one connection crosses another one, current in one wire will flow through the other as well. Thus the chip must be designed so that no two wires cross. Do you think this is possible?