Jeremy asks: 'Maybe nightriders that can travel no more than two knight jumps away?'
2-step nightriders are useful pieces, which I value equal to Bishops on a 16x16 board. Certainly an interesting idea to try out in this game. Note: nightrider on (e4) can reach squares on the a-file by more than one path, as Abdul-Rahman Sibahi just pointed out.
Rooks can be deadly - suppose WHITE has King(g1), Bishop(g2), Pawns(f2, h2). Moving a BLACK Rook to the first rank gives double check and mate, as the Bishop can block either attack, but not both at once. A non-cylindrical queen on a cylindrical board might give the players headaches. A cylindrical queen with maximum move two squares can be very effective at hunting the king once the queen gets close enough. Probably similar in value to a cylindrical rook. Suspect the colorbound cylindrical bishop is still worth a pawn less than the cylindrical rook.
Jeremy asks: 'Maybe nightriders that can travel no more than two knight jumps away?'
2-step nightriders are useful pieces, which I value equal to Bishops on a 16x16 board. Certainly an interesting idea to try out in this game. Note: nightrider on (e4) can reach squares on the a-file by more than one path, as Abdul-Rahman Sibahi just pointed out.
Rooks can be deadly - suppose WHITE has King(g1), Bishop(g2), Pawns(f2, h2). Moving a BLACK Rook to the first rank gives double check and mate, as the Bishop can block either attack, but not both at once. A non-cylindrical queen on a cylindrical board might give the players headaches. A cylindrical queen with maximum move two squares can be very effective at hunting the king once the queen gets close enough. Probably similar in value to a cylindrical rook. Suspect the colorbound cylindrical bishop is still worth a pawn less than the cylindrical rook.