If you like this site, I would appreciate a gift from my wishlist.
Toggling Squares is not that Trivial...
Well, this page is not ready yet, and will take some time to be written.
I have also written an implementation of it in JavaScript.
You should experiment with it, and try to figure out a methodical way to solve it. Afterwards, you can read this report which I prepared for Ken Housley, who programmed the game applet. The report describes an algorithm which we figured out to solve the game, and proves why this algorithm is working.
I frequently used many Linear Algebra terms there, so you may need to be familiar with this field to fully understand it. When I prepare this page, I will try to explain everything with more basic material, but for now, this will have to do.