Chessboard Question - HELP!!!! A chessboard is square of rectangular. Adjacent squares=squares with common side. A piece is put in each square of board, then they're picked up and put back down again in a way that the adjacent pieces are still adjacent. If both pieces in the lefthand corner are kept in place and not picked up when the rest are rearranged (but still adjacent to each other as before), then is it possible for any piece to be in different positions the second time? Would the answer to the above change if only one of the lfthand corner prices is kept fixed? Can this be generalised to any other piece remaining fixed on the board? Can anyone help?