Each piece that is taken from the opponent is placed back on an empty square by the player that made the capture, such that
Of course, one may not place a piece where it checks ones king. One may resolve a check by taking a piece of the opponent and placing it between the checking piece (queen, rook, or bishop) and ones king.
when white captures a black piece, white decides where the black piece
is put back.
A variant: Putback chess
A variant of Replacement Chess, called Putback chess, was placed
in Cincinnatti in the 1960s.
Again, pieces taken from the opponent must be placed back on the board, but there are now no restrictions on where bishops and pawns may be placed. When a player puts a captured pawn on its promotion row, then the player that owns the pawn decides to what piece it promotes. Pawns on the first row can make a double, and even a triple step forward, hence, a pawn on d1 can move to d2, d3, and d4, and take on c2 and e2. On all squares passed by such a double or triple step, the pawn can be taken en passant, so after d1-d4, the white pawn can be taken en passant on d2 or d3.