Polgars star chess has solved this by using adjacent fields as diagonal fields. The orientation of the board is as such, that there are 3 axes, North-South (Ver

Polgars star chess has solved this by using adjacent fields as diagonal fields. The orientation of the board is as such, that there are 3 axes, North-South (Vertical), Northwest-Southeast and Southwest-Northeast (the diagonals). Using this approach, bishop and pawn move alongside the same diagonals, one loses however the "color" aspect of the bishop (i.e. the bishop can reach every field). Polgar's rook can then only move vertically, not to the side. The queen moves in all 6 directions of the hexagon. This leads to an interesting game dynamics where the bishop actually feels more like a rook, and the rook resembles the Lance in shogi.