Quote (Chevaucheur @ May 18 2018 06:39am)
If the players advance a pawn, and move their king and only their king, there will never be checkmate.
Because a king alone can not check the opponent.
A high number of possibilities does not necessarily lead to a high complexity of the game.
if they moved the king back and forth they'd lose, that's a violation of the rules.
maybe you should learn the game before solving it.
Quote (Thor123422 @ May 17 2018 02:29pm)
Still haven't told us what you are solving for.
It actually makes the solutions way easier. Pieces that move infinitely (bishop, rook, queen) can be almost entirely eliminated from considering by treating them as unlimited "no go zones" for the king.
It's way harder to solve a limited game board than an unconstricted one.
i agree it makes it easier, but also nonapplicable. nothing on an infinite board has ANYTHING to do with a 64 sq board. mainly because without a 64 sq board there are no starting positions seemingly. so advancing into the end game and solving for mates is silly, as there is no way the game would progress there. if you have a bishop on an infinite board and it looks in trouble you'd just move it 300 squares away. the game would never advance to the end game.
you can draw some interesting conclusions about flanks, within reason, or forks, but why would you. the game in reality doesnt work like that.
i know we both agree the OPs study is nonsense