It's like changing bishops to rooks. Diagonals trade with crosses and three-angled Y's come out upside down. Board designs aren't always simple squares. You might face an hourglass shape that allows a small amount of weak pieces to control the middle. One level looked like dueling squadrons of Y-shaped fighter jets aimed at each other, giving the scenario a kind of Chinese Checkers feel.
Strategies range in complexity and appear quite random.
Once we beat the computer by rushing madly, and unimpeded, for the Logicator and obliterating him in six moves. Usually, though, we engaged in a mad war of attrition, offering trades up at every chance, which the computer sometimes obliged and sometimes avoided. Certain obvious touches would have earned the game a higher rating. For example, there were only four color choices per side. Theoretically, it should be simple to make all of the colors user-controlled and open up the whole available spectrum.