Fibonacci (1992)

This abstract strategy doesn't really use the Fibonacci sequence (1,1,2,3,5,8,13...), but it's pretty cool nonetheless. The first player starts off with one move, the second player takes two, first player takes three, and so on up to a maximum of six moves. The object of the game is to surround your opponent's base with your six strike pieces. Everytime you get a strike piece adjacent to your opponent's base they lose 1 move point.