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Another piece that feels a bit out of place on the 12x12 board is the Pawn.
Even with an initial move of three squares, it takes eight moves for it to
reach the promotion zone as opposed to five moves for a Pawn in FIDE Chess.
It is also very difficult for the Pawn to threaten any but an attacking
piece, making forks far less likely.
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One possible solution is to use Quick Pawns. Quick Pawns can double move
(and possibly be captured en-passant) any move, not just on their first
move. A Quick Pawn moving at full speed can cross a 12 x 12 board in the
same time a FIDE Pawn crosses an 8 x 8 board, and they are more capable of
attacking than the usual Pawn as well.