jts wrote:entropi wrote:jts wrote:Even after making a ko threat?
As soon as black plays 7 white can play 8 again leading to the same local situation. Then black is again obliged to play c6, white captures at e6 and then black needs to find another ko threat. Sooner or later black will run out of ko threats while white doesn't need to play any threat.
Ah, ok. So under situational superko, this functions in the same way as a double ko - unwinnable by black, but an infinite source of 30 pt. ko threats?
No, actually you can play it as a regular ko, but it is a little more tricky to remember which positions have already occurred.
There are four positions in the cycle:
$$W
$$ ---------------------------------------
$$ | . O . X . . X . . . . . . . . . . . . |
$$ | X O O O X X O O O . . . . . . . . . . |
$$ | . X X X X O X X O . . . . . . . . . . |
$$ | . O X X O O . . O , . . . . . , . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
$$ | . O . X . O X . . . . . . . . . . . . |
$$ | X O O O X X O O O . . . . . . . . . . |
$$ | . X X X X O X X O . . . . . . . . . . |
$$ | . O X X O O . . O , . . . . . , . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
$$ | . O X X . O X . . . . . . . . . . . . |
$$ | X O O O X X O O O . . . . . . . . . . |
$$ | . X X X X O X X O . . . . . . . . . . |
$$ | . O X X O O . . O , . . . . . , . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
$$ | . O . . O O X . . . . . . . . . . . . |
$$ | X O O O X X O O O . . . . . . . . . . |
$$ | . X X X X O X X O . . . . . . . . . . |
$$ | . O X X O O . . O , . . . . . , . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . O . X . . X . . . . . . . . . . . . |
$$ | X O O O X X O O O . . . . . . . . . . |
$$ | . X X X X O X X O . . . . . . . . . . |
$$ | . O X X O O . . O , . . . . . , . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
$$ | . O . X . O X . . . . . . . . . . . . |
$$ | X O O O X X O O O . . . . . . . . . . |
$$ | . X X X X O X X O . . . . . . . . . . |
$$ | . O X X O O . . O , . . . . . , . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
$$ | . O X X . O X . . . . . . . . . . . . |
$$ | X O O O X X O O O . . . . . . . . . . |
$$ | . X X X X O X X O . . . . . . . . . . |
$$ | . O X X O O . . O , . . . . . , . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
$$ | . O . . O O X . . . . . . . . . . . . |
$$ | X O O O X X O O O . . . . . . . . . . |
$$ | . X X X X O X X O . . . . . . . . . . |
$$ | . O X X O O . . O , . . . . . , . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
In the last one, if black captures, it returns to the first one.
Now lets examine how ko is played here. In the example from the problem, position 1 is the first to arise, after

That means, that after playing through positions 2,3 and 4, black cannot return to position 1.
So Black makes a ko threat, and White responds.
Now, we are still at position 4, but two new stones elsewhere have been played. So position 4 is the first one that cannot be repeated from here.
Black captures (goes to position 1), white throws in (position 2), black pushes in (position 3).
At this point, white is not allowed to capture, as that would return to the position we had after the ko threat and response had been played (position 4).
So White plays a ko threat, and Black responds.
We are then at position 3, which is now the first one that cannot be repeated.
Move through positions 4, 1 and 2 (W, B, W) and it is Black who needs a threat.
Etcetera.