3 ms·

Nope, it's pretty basic theory that 1 turn advantage changes this symmetry completely. Take a chess board and try it yourself.

• eru 12y ago
  That's why you need to lose exactly one move to make it symmetric. Like my original comment said. And we don't want symmetry on one board, but between two boards.
  • muyuu 12y ago
    Still no, you cannot lose a move in the opening. There is no "pass" move in chess. In fact any initial move no matter how wasteful you try to make it, will very soon alter the game. Even rook pawn a3 or h3 will soon have an influence in the game and cannot be ignored. It's very hard to craft the equivalent of a lost move in the early game - say, use an extra move with the bishop or something like that - and it's virtually impossible without the collaboration of the opponent. Try it yourself vs a few instances of your favourite chess software or just here http://www.chess.com/play/computer http://www.chess.com/play/computer (requires Java). Open a few instances and see how can you chuck away a move.