Ok, lets bring this down to its core and give it a bit of analysis!
Here's the core of the situation:
- Click Here To Show Diagram Code
[go]$$B
$$ . . O O O X X X . .
$$ . O O X X O O X X .
$$ O O X X . X O O X X
$$ O X . X X O O . O X
$$ O O X X O . O O O X
$$ -------------------[/go]
Is this a triple ko?
Well, there are three kos and all of them them are relevant to the life and death of this group, right? Maybe. But lets compare it to some other triple kos:
Here's a very simple traditional one. Two groups without eyes sharing three kos.
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[go]$$W White's turn
$$ O O O X X X
$$ O X X O O X
$$ O X O . O X
$$ O X X O O X
$$ O X . X O X
$$ O X X O O X
$$ O X . X O X
$$ -----------[/go]
And here's another one, which consists of both a direct ko on the right and a double-ko seki in the corner providing "infinite ko-threats" for both players:
- Click Here To Show Diagram Code
[go]$$B Black's turn.
$$ | . . . . X X X O O O .
$$ | X X X X X O O X X O O
$$ | O O O O X O . O X X O
$$ | . O . O X O O X . X O
$$ | O X O O X X O X X X O
$$ | X X X O O X O O O X O
$$ | . X . X O X O . O X O
$$ +----------------------[/go]
Now one thing that is different about these two, is that they are constantly urgent. Which is why I've noted whose turn it is. At any time in these triple kos, if one player plays elsewhere, the other can immediately resolve the ko.
The same is not true for the ko of the game. In the first diagram above, I have not marked whose turn it is, because it doesn't matter. Neither player, in the position presented, can resolve the ko. Either of them could play there and make the situation urgent, but after a few captures, the situation will get back to a stable configuration where playing is not urgent. That's why DrStraw was able to leave it until the end of the game and only then decide whether he could afford to lose those stones.
Now, let's say he couldn't. Suppose the result of the game hinged on the result of the ko. How would that play out?
First, lets consider Chinese style rules. Nothing fancy, just superko and area counting (CHinese, AGA, New Zealand or whatever)
Suppose black wants to win the ko. How would he go about that?
- Click Here To Show Diagram Code
[go]$$B Only option for black
$$ . . O O O X X X . .
$$ . O O X X O O X X .
$$ O O X X 2 X O O X X
$$ O X . X X O O . O X
$$ O O X X O 1 O O O X
$$ -------------------[/go]
Black only has one possible move inside, and white only has one sane reply. But how now? After
black has no move inside. So he has to play elsewhere (a.k.a. a ko-threat). Suppose white responds to the ko threat, then what? (that's
and
to keep count)
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[go]$$B Only one option for black again
$$ . . O O O X X X . .
$$ . O O X X O O X X .
$$ O O X X O 5 O O X X
$$ O X . X X O O . O X
$$ O O X X 6 X O O O X
$$ -------------------[/go]
No other option than to play like this, right? But after
black is again out of options.
This continues until black runs out of legal moves. At no point will white ever have to play a ko-threat, so at no point will white ever get in trouble locally for responding to black's moves.
Conclusion: Black cannot kill, not even with ko.
How about white?
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[go]$$W at , at
$$ . . O O O X X X . .
$$ . O O X X O O X X .
$$ O O X X 1 B O O X X
$$ O # 3 X X O O . O X
$$ O O X X W 2 O O O X
$$ -------------------[/go]
After
black would like to recapture at
but can't because that would break superko (in triple ko, you repeat after 6 moves). So black has to find a ko-threat. Suppose he finds one that is big enough, and black responds? (that was
and
to keep count).
- Click Here To Show Diagram Code
[go]$$W Return to original position
$$ . . O O O X X X . .
$$ . O O X X O O X X .
$$ O O X X . X O O X X
$$ O 8 . X X O O . O X
$$ O O X X O . O O O X
$$ -------------------[/go]
Now with
we have returned to the original position. What can white do? Well it doesn't really matter. White can just play elsewhere, because as we concluded earlier black has no way to kill.
And after playing elsewhere, white has the option of starting up the exact same sequence above again, and again black will have to find a ko-threat. So white needs no ko-threat, while black needs an unlimited amount of them.
Effectively, under Chinese style rules black is dead.
How about Japanese rules? Well, now we're getting into more of a bit of "rules arcana"
First off, for the more obsure effects of Japanese rules to take effect, play has to stop first. That is important, and it is one of the reasons I pointed out the distinction between this position and the other triple ko positions earlier.
Traditional triple-ko positions are "No Result" because neither player can stop playing! You pass, you lose. The whole "determination of life and death" phase never comes into play at all.
That is not so in this case. This position has a stable configuration where both players can pass, and then they can determine life and death. At that point the outcome is no longer ever "No Result". It is one of "both alive", "black alive, white dead", "white alive, black dead" or "both dead", for the local position. After which we can take the dead stones off and count.
So, let's again see what happens.
So first a bit of context. Japanese life and death resolution is often described simplified as "there are no ko-threats after both players pass". That rules is achieved by saying: For any ko, after it has been captured, you may not retake it no matter what moves have been played after, except if you "pass for that ko", i.e. you say pass and point at the specific ko you now wish to be able to take back.
First, let's say black tries to prove white is dead.
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[go]$$B Only option for black
$$ . . O O O X X X . .
$$ . O O X X O O X X .
$$ O O X X 2 X O O X X
$$ O X . X X O O . O X
$$ O O X X O 1 O O O X
$$ -------------------[/go]
After
black has no move. Playing a ko-threat elsewhere on the board is not possible, it doesn't work. His only option is to pass and point at
saying he wants the option to retake that ko. But white will pass and point at
, and then after both players have retaken the ko they pointed at we're right back in the same stalemate. From black's point of view, this is a simple double-ko and he cannot kill white.
How about white?
- Click Here To Show Diagram Code
[go]$$W
$$ . . O O O X X X . .
$$ . O O X X O O X X .
$$ O O X X 1 X O O X X
$$ O . 3 X X O O . O X
$$ O O X X O 2 O O O X
$$ -------------------[/go]
After
there are no legal local moves left (remember, you cannot take any ko, no matter what has been played elsewhere, without first pasing and pointing!)
So this is simple. Black passes and points at
and then white just captures everything because black is in atari.
So white can prove he can kill black under Japanese rules for determining life and death.
End result: Black is dead, white is alive.
So, to summarize: because the position has a stable configuration, it will not end in NR, as it can reach the "determination of life and death" phase, at which point Japanese rules result in black being dead.
BONUS:
A bit earlier, I mentioned four possible outcomes of life & death determination. Three of those "both alive" (seki), "black alive, white dead", "white alive, black dead" should be rather familiar to everyone here. But what about "both dead"? That seems counterintuitive, to say the least, right?
Well, that's because liofe & death determination is not actually about fights, it's about individual groups. So there are only two possible outcomes: "alive" or "dead". That's it.
So lets have another look at a position I posted earlier:
- Click Here To Show Diagram Code
[go]$$W
$$ O O O X X X
$$ O X X O O X
$$ O X O . O X
$$ O X X O O X
$$ O X . X O X
$$ O X X O O X
$$ O X . X O X
$$ -----------[/go]
Simple right? Triple ko, no result. Sure, yes, except if one player decides to pass. A valid option. Perhaps, like DrStraw, he has counted that he can lose the triple ko and still win, so he doesn't want a "No Result".
So say white passes in this position.
Black, tired after the gruelling hour-long duel, thinks "Oh, right, it's over then" and also passes. Totally forgetting to take the stones. What now?
Well, now suddenly life and death determination rules can com into play!
Can black prove white is dead? Sure, he can take those stones with his first move.
How about white?
- Click Here To Show Diagram Code
[go]$$W White's turn
$$ O O O X X X
$$ O X X O O X
$$ O X O 2 O X
$$ O X X O O X
$$ O X 1 X O X
$$ O X X O O X
$$ O X 3 X O X
$$ -----------[/go]
After
there are no more legal moves (remember, no taking back kos) so black can do nothing and white will take the black stones off the board.
Both dead.