Rock Me Archimedes is, needless to say, a mathematical game. In it, you have marbles that you are trying to get to one side of the rocking board without letting either end touch the floor or table. You have to get four marbles to your goal zone before your opponent gets four into theirs. 
I like the chance, strategy and math that go into getting the marbles across. You have to be careful to get across first, but not too far ahead so your side dips. You also can’t be too far behind, or you drop their side when you move and lose.
Make sure the place you are playing is level and still. Do not play in an airplane (for obvious reasons). It isn’t portable enough for airplanes anyway.
I also like the board itself. The rocking mechanics are clean and simple, since it’s just rounded wood on flat wood. I like the way the pieces go into each other to minimize the amount of box space the game takes up.
In Rock Me Amadeus! (*_-) is there a capture option for the opponent’s pieces?