ABSTRACT
The vertices of a graph are the elements of a set. This set might be the set of rooms in a house, the set of bridges in the city of Konigsberg, a set of people, or a set of numbers. Graph theory provides us with an ideal model for systems of routes, whether they be road maps, the patterns of circulation routes in buildings, or in general any kind of network. In this way the arc in a network can represent either the maximum capacity of, or else the actual volume of flow along some link between two points in the system. An examination of the electrical networks corresponding to the two rectangles led to the discovery of certain rotational symmetry properties of the networks, using which the Important Members could generate large numbers of pairs of rectangles of similar shape and size.
