I am a mathematician and computer programmer from Chicago.  I have a BA in Mathematics from Northeastern Illinois University,
and I am also Sun Certified.  Since 2000, I've been working on the Towers of Hanoi; I programmed the multi-peg version in Java. 
The multi-peg version involves 4 or more pegs, as opposed to the usual 3.  These pegs are enumerated as follows:  the initial peg,
the final peg, and 2 or more auxiliary pegs.  My algorithm for solving this puzzle is recursive and dynamic.  The puzzle software
can be found at the following link:  Multi-Peg Towers of Hanoi.  The format of the software is Java Archive (JAR); these can be
run by saving to your computer and double clicking on them.