The Tower of Hanoi Math puzzle

The Tower of Hanoi (also called the Tower of Brahma or Lucas Tower, and sometimes pluralised) is a mathematical game or puzzle. Legend says that at the beginning of time the priests in the temple were given a stack of 64 gold disks, each one a little smaller than the one beneath it. Their assignment was to transfer the 64 disks from one of the three poles to another, with one important provisonal large disk could never be placed on top of a smaller one. The priests worked very efficiently, day a...