Parametric Movement of a Rubber Band

In this Demonstration you can see the the patterns that emerge from the movement of the midpoint of a rubber band. The rubber band is tied to pegs on the circumferences of two disks. Disk 2 moves at a constant angular velocity of 1 radian/second without slipping. The movement of the pegs and the midpoint is defined by parametric equations that vary according to the different possible combinations of disks.