Phutball

Phutball (short for Philosopher's Football) is a two-player abstract strategy board game described in Elwyn Berlekamp, John Horton Conway, and Richard K. Guy's Winning Ways for your Mathematical Plays.

The board is labeled A through P (omitting I) from left to right and 1 to 19 from bottom to top from Ohs' perspective.

Each jump is to the first vacant point in a straight line horizontally, vertically, or diagonally over one or more men.

If the football passes through a goal line, but ends up elsewhere due to further jumps, the game continues.

[3] Given an arbitrary board position, with initially a white stone placed in the center, determining whether the current player has a winning strategy is PSPACE-hard.