raimon
13 ( +1 | -1 )

A piece of chess trivia apparently there are 169,518,829,100,544,000,000,000,000,000 different ways of playing the first ten moves!

How on earth was that figure calculated - any mathematicians out there?

A piece of chess trivia apparently there are 169,518,829,100,544,000,000,000,000,000 different ways of playing the first ten moves!

How on earth was that figure calculated - any mathematicians out there?

More: Chess Games Free

bluebabygirl
59 ( +1 | -1 )

RE-TO -RAIMON I DO NOT KNOW HOW THEY CAME UP WITH THAT NUMBER , BUT i AM QUITE SURE i KNOW A MILLION WAYS OF PLAYING THEM WRONG!!!!!BY THE WAY THE NUMBER OF DIFFERENT POSSIBLE GAMES OF CHESS (40 MOVES OR LESS ) IS 250 TO THE 115 POWER , WHICH IS CONSIDERABLY MORE THAN ALL THE ESTIMATED NUMBER OF ATOMS IN KNOWN UNIVERSE . ALSO MORE THAN ESTIMATED NUMBER OF TOTAL WORDS SPOKEN BY MAN SINCE THE BEGINNING OF MANKIND, YES THIS INCLUDES ALL THOSE WORDS SPOKEN BY WOMEN TOO . HA HA !!! This info in book stated that a computer came up with this number ! yours BBG

RE-TO -RAIMON I DO NOT KNOW HOW THEY CAME UP WITH THAT NUMBER , BUT i AM QUITE SURE i KNOW A MILLION WAYS OF PLAYING THEM WRONG!!!!!BY THE WAY THE NUMBER OF DIFFERENT POSSIBLE GAMES OF CHESS (40 MOVES OR LESS ) IS 250 TO THE 115 POWER , WHICH IS CONSIDERABLY MORE THAN ALL THE ESTIMATED NUMBER OF ATOMS IN KNOWN UNIVERSE . ALSO MORE THAN ESTIMATED NUMBER OF TOTAL WORDS SPOKEN BY MAN SINCE THE BEGINNING OF MANKIND, YES THIS INCLUDES ALL THOSE WORDS SPOKEN BY WOMEN TOO . HA HA !!! This info in book stated that a computer came up with this number ! yours BBG

More: Online Chess

jean-marc
72 ( +1 | -1 )

Calculation... Sorry if I'm teaching you how to suck eggs, in case you already now...

The result is simply the factor of multiplying the number of possible moves available at each ply. With a simple coin, after three tosses (heads or tails) you get 2x2x2 = 6 different results.

In chess say white has 20 (I'm guessing 16 pawn and 4 knight moves) first move options and black 20 responses you get 400 possible games at the end of the fist move. Imagine how rapidly that grows as more options become available. The number of possible games would increase exponentially. All you have to do is count the number of possible moves in each position. How did they do that ? I give up ! How ?

Professor Jean-Marc

PS: I was never this smart at school !

Calculation... Sorry if I'm teaching you how to suck eggs, in case you already now...

The result is simply the factor of multiplying the number of possible moves available at each ply. With a simple coin, after three tosses (heads or tails) you get 2x2x2 = 6 different results.

In chess say white has 20 (I'm guessing 16 pawn and 4 knight moves) first move options and black 20 responses you get 400 possible games at the end of the fist move. Imagine how rapidly that grows as more options become available. The number of possible games would increase exponentially. All you have to do is count the number of possible moves in each position. How did they do that ? I give up ! How ?

Professor Jean-Marc

PS: I was never this smart at school !

More: Chess For Beginners

sumsar
50 ( +1 | -1 )

Just count! They have just counted them like you did for the first move.

Honestly I think they programed a computer to know the rules of chess and the it did it for them. Just took every piece in every possition from the first move then added all the moves and so on. If you give a strong enough computer enough time it will in the end come up with an answer.

The same will you, just try!

Sumsar

Just count! They have just counted them like you did for the first move.

Honestly I think they programed a computer to know the rules of chess and the it did it for them. Just took every piece in every possition from the first move then added all the moves and so on. If you give a strong enough computer enough time it will in the end come up with an answer.

The same will you, just try!

Sumsar

raimon
8 ( +1 | -1 )

Thanks - fascinating it'll give me something to think about before I start my next game!

Thanks - fascinating it'll give me something to think about before I start my next game!

More: Chess Against Computer

atrifix
52 ( +1 | -1 )

Any decent computer will be able to total up the number of positions after 20 ply (half-moves) from the initial position and tell you how many nodes it has searched. You can try it yourself with a copy of Fritz or Chessmaster if you leave it on for awhile (expect a few hours).

The estimations for deeper numbers of positions, like up to move 40 or 60, requires a different sort of calculation. I don't remember exactly how these numbers were estimated, but I imagine you could fairly easily find the calculations, or maybe someone here knows.

Any decent computer will be able to total up the number of positions after 20 ply (half-moves) from the initial position and tell you how many nodes it has searched. You can try it yourself with a copy of Fritz or Chessmaster if you leave it on for awhile (expect a few hours).

The estimations for deeper numbers of positions, like up to move 40 or 60, requires a different sort of calculation. I don't remember exactly how these numbers were estimated, but I imagine you could fairly easily find the calculations, or maybe someone here knows.

More: Famous Chess Games

raimon
14 ( +1 | -1 )

Can you tell these programs to simply count the positions rather than analyse? Or does this amount to the same thing?

Can you tell these programs to simply count the positions rather than analyse? Or does this amount to the same thing?

More: Chess Free Game

zucan
45 ( +1 | -1 )

Computers and # positions If you are using a computer engine, such as Fritz, to count the number of moves, it won't be the same number. Sure, it does tell you how many nodes it has searched, but that isn't an exhaustive number... after all, it probably pruned off tons of trees in its search based on the thought that it was a poor move and better ones already have been found. If you haven't turned off the opening book, that would affect the number too...

Zucan

Computers and # positions If you are using a computer engine, such as Fritz, to count the number of moves, it won't be the same number. Sure, it does tell you how many nodes it has searched, but that isn't an exhaustive number... after all, it probably pruned off tons of trees in its search based on the thought that it was a poor move and better ones already have been found. If you haven't turned off the opening book, that would affect the number too...

Zucan

v_glorioso12
27 ( +1 | -1 )

hey! is that number the move order or total number of positions reached by a certain move order? like, is it that there is 1 way for the position reached when

1.Nf3 c5; 2.e4 d6 is played

or is there 4 ways for the move order

1.Nf3 c5; 2.e4 d6 and another for

1.e4 c5; 2.Nf3 d6 and another one for

1.Nf3 d6; 2.e4 c5 and the last one for

1.e4 d6; 2.Nf3 c5?

sry if it is confusing... :-S

thanx

hey! is that number the move order or total number of positions reached by a certain move order? like, is it that there is 1 way for the position reached when

1.Nf3 c5; 2.e4 d6 is played

or is there 4 ways for the move order

1.Nf3 c5; 2.e4 d6 and another for

1.e4 c5; 2.Nf3 d6 and another one for

1.Nf3 d6; 2.e4 c5 and the last one for

1.e4 d6; 2.Nf3 c5?

sry if it is confusing... :-S

thanx

jean-marc
45 ( +1 | -1 )

Processing time... I read somewhere that even if you took the strongest current computer in the world and asked it to count all the different possible moves in all the possible chess games, even if the computer had started at the time of the first man leaving the caverns, the computer would still be in the process of counting today.

I assume that someone "averaged" the number of possible moves in the middle game in coming up with a number.

Great question, though...

Processing time... I read somewhere that even if you took the strongest current computer in the world and asked it to count all the different possible moves in all the possible chess games, even if the computer had started at the time of the first man leaving the caverns, the computer would still be in the process of counting today.

I assume that someone "averaged" the number of possible moves in the middle game in coming up with a number.

Great question, though...

bluebabygirl
13 ( +1 | -1 )

to jean-marc i heard Fischer came up with those numbers . anybody care to argue about that !! yours bluebabygirl

to jean-marc i heard Fischer came up with those numbers . anybody care to argue about that !! yours bluebabygirl

bluebabygirl
17 ( +1 | -1 )

to jean_marc I was only joking . you know fischer is far too busy being the number one threat to world security to take time to compute those numbers !!!!! yours bluebabygirl

to jean_marc I was only joking . you know fischer is far too busy being the number one threat to world security to take time to compute those numbers !!!!! yours bluebabygirl

jean-marc
23 ( +1 | -1 )

Naughty bluebabygirl ! Bluebabygirl ! You're doing it again... Are you trying to start another religious war with your mention of Fischer ? Love your "threat to world security" quip, though. ...but that's anoter threat, uh, I meant thread.

Naughty bluebabygirl ! Bluebabygirl ! You're doing it again... Are you trying to start another religious war with your mention of Fischer ? Love your "threat to world security" quip, though. ...but that's anoter threat, uh, I meant thread.

bluebabygirl
27 ( +1 | -1 )

to jean_marc SIR - you are indeed very observant to notice that merely the mention of his name starts wars religious or any other kind !!! yes posssible other thread here . hey maybe Fischer is the antichrist . food for thought , i mean debate there !!??!! yours bluebabygirl

to jean_marc SIR - you are indeed very observant to notice that merely the mention of his name starts wars religious or any other kind !!! yes posssible other thread here . hey maybe Fischer is the antichrist . food for thought , i mean debate there !!??!! yours bluebabygirl