Everyone would be very familiar with the pendulum. Take a weight and suspend it from a pivot. It is stationery while at rest. When it is displaced and released, gravity causes the pendulum to swing back and forth. Since the ancient ages, pendulums have been used for timekeeping. The double pendulum is yet another interesting phenomenon. Instead of just one weight, what happens if we suspend another pendulum at the bottom of the first. Have a look at the following. The pendulum moves in a seemingly hap-hazard manner, without any discernible pattern whatsoever. To make it even more interesting, here is what you get when you put together two identical double pendulums, but yet vary their starting point by a teeny weeny bit. The pendulums trace an entirely different path. ......