The little Hexagon meditated on this a while and then said to me; “But you have been teaching me to raise numbers to the third power: I suppose 3 3 must mean something in geometry; what does it mean?”

“Nothing at all,” replied I, “not at least in geometry; for geometry has only Two Dimensions.” And then I began to show the boy how a Point by moving through a length of three inches makes a Line of three inches, which may be represented by 3; and how a Line of three inches, moving parallel to itself through a length of three inches, makes a Square of three inches every way, which may be represented by 3 2 .