This is an alternative system to GFS that uses storage media more efficiently but it is not quite as simple to understand and manage. It is based on the solution to the "Tower of Hanoi" puzzle involving transferring discs between poles.
Imagine you have
N tapes that can each store a single backup. Using ToH you would use the first tape every other day (Day 1,3,5 etc.). Then you would use tape 2 on every fourth day starting on day 2 (So 2,6,10 etc.).
The general rule being: Use tape N every 2N days starting on day N-1.
The advantages of this method are that you get a good backup cycle for the whole month from minimal tapes. A whole month can be done with 5 tapes. You will have backups available from 1, 2, 4, 8, ... , 2N days ago.
A significant disadvantage is that some of the tapes (tapes 1 and 2) are overwritten very frequently.
For a tutorial on setting up a Tower of Hanoi backup cycle see our tutorial found here.