Taking into consideration the order of the played moves...how many possible combinations of a chess game is possible?
assuming threefold repitation or 50 move rule doesnt count then a chess game can have infinite moves
Ok assuming 1 game consisting of 50 moves on average..without repetition
you are selecting 1 move per 50 moves each side so 50! / 2
@Ben10Tenyson said in #2:
> assuming threefold repitation or 50 move rule doesnt count then a chess game can have infinite moves
No, if a chess game could have infinite moves, the board would have to have infinite squares.
> assuming threefold repitation or 50 move rule doesnt count then a chess game can have infinite moves
No, if a chess game could have infinite moves, the board would have to have infinite squares.
Google "Shannon number" for some values and the basics of how they're calculated.
crew64 we can just shuffle knights for infinite moves
ben10tenyson: you cant shuffle knights infinitely since 50 move rule
heroku i dont think that makes sense since you dont have 50 possible moves and the 49 and so on. he is talkin bout the possibilieties and not the lenght. for example, when a check is played, you might only have 3 moves(possibilities) .
there are famous estimates to that question tho, after both colours move once, there are 400 possiblities after white moves again, there are already 8902 . after 5 moves by each side there are 69,352,859,712,417 possibilities.
mathematician shannon guessed that if you have 30 possibilities per move on average, then there are 30 to the power of x possibilities, x stands for average moves per game. that are be more than atoms in the universe we can see. (obviously there is more universe but we will never know about it since the expansion of the universe is faster than light and information can only travel speed of light)
heroku i dont think that makes sense since you dont have 50 possible moves and the 49 and so on. he is talkin bout the possibilieties and not the lenght. for example, when a check is played, you might only have 3 moves(possibilities) .
there are famous estimates to that question tho, after both colours move once, there are 400 possiblities after white moves again, there are already 8902 . after 5 moves by each side there are 69,352,859,712,417 possibilities.
mathematician shannon guessed that if you have 30 possibilities per move on average, then there are 30 to the power of x possibilities, x stands for average moves per game. that are be more than atoms in the universe we can see. (obviously there is more universe but we will never know about it since the expansion of the universe is faster than light and information can only travel speed of light)
very
@Ben10Tenyson said in #7:
> crew64 we can just shuffle knights for infinite moves
Ohh I misunderstood, thought u meant infinite positions (different).
> crew64 we can just shuffle knights for infinite moves
Ohh I misunderstood, thought u meant infinite positions (different).
This topic has been archived and can no longer be replied to.