[math-fun] Hexgo

I've just (re?)invented the game of Hexgo: A Hexapod starts at the origin and moves on a triangular grid, a distance equal to one of the sixth roots of unity at each move, and endeavors to reach the edge of the board. Her opponent places Go stones at grid points in an attempt to block her, in the manner of the games of Chap 19 of Winning Ways (Variants of Chessgo, Angel & Square-eater, etc.) Problem: are there shapes & sizes of board for which the game makes sense (allows a complete analysis, makes for a reasonably fair game, etc.)? E.g. _____________________ ...... / / / / * ??? \ \ \ \______________________...... Comments? R.