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Thank you George. You raise a good point about moving your opponent's pawn, and I was actually considering this stipulation: pawn swapping is illegal for Player A any time the enemy pawn is threatening Player A's piece(s) This would prevent people from using the pawn swap to bypass a threat by pawn. Still, a player still has the option to use the pawn swap to MAKE a threat, as I demonstrated in my last diagram shown.
Your suggestion is good too, but I wouldn't want the whole game to change too much from standard chess. It's an interesting sub-variant idea though for sure.
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This is serious recent attempt to reduce Draws in small board 64 OrthoChess. How about a subvariant as follows? The Pawn swap involves moving opponent Pawn. So whenever a player uses the Pawn swap in lieu of regular move, the other player immediately has two choices. One, make a regular move, Or two, move opponent's (the swapper's) any unit by legal move. Then follows the swapper's next turn. And perhaps it needs no double swapping consecutive turns.