This assumes that your list of words can fit together to form such a square. Obviously there is going to be a finite number of such squares, and I would think that it wouldn't be an incredibly huge number, since it's fairly difficult to come up with a set of words that works (and it gets even harder if you want a larger square).

It would be interesting to see a program that crunches through a word list (such as /usr/share/lib/dict/words) and 'discovers' combinations of words that can be made into word squares.