XuanxuanQijingProblem17/Solution

Table of contents Table of diagrams
Diag. 1.1 Main line of solution
Diag. 1.2 Main line of solution - continued (1)
Diag. 1.3 Main line of solution - continued (2)
Diag 2.1 Different try by White
Diag 3.1 Mistake by Black
Diag 3.2 Continuation
Diag 3.3 Continuation
Diag 4.1 Mistake by Black
Diag 5.1 Mistake by Black
Diag 5.2 One possible continuation

Main line of solution

[Diagram]
Diag. 1.1 Main line of solution  

Malcolm: B1 is not easy to spot I think. W2 is the strongest resistance it seems. It threatens to cut at B3, hence Black protects at B3. W4 then threatens to kill by making a bulky five or an eye inside Black's shape. But Black has a special technique to resist. First she makes the exchange B5 for W6.

[Diagram]
Diag. 1.2 Main line of solution - continued (1)  

Then, B1 serves to prevent White from making a bulky five. After W2, Black plays in black+triangle leading to the position in the next diagram.

[Diagram]
Diag. 1.3 Main line of solution - continued (2)  

Now it's White's turn. White must prevent Black from playing at a which gives Black a living shape. However a white move at a would go back to the position that already occurred at the end of Diag. 1.1.

Now if the ruleset has a superko rule, White is not allowed to play at a as it makes a position that already occurred. So Black lives in this case. However, this corner does provide White with almost unlimited ko threats for the rest of the game.

If the ruleset does not have a superko rule, White can play at a. The position can then cycle indefinitely. If the players do start to play out this cycle, the game is declared void. For more details, see the SL page eternal life, which discusses a similar shape.


Variations

[Diagram]
Diag 2.1 Different try by White  

Malcolm: White may try W1 after B1 in Diag 1.1. But after B4 Black is alive. (In a previous version I mistakenly gave B4 at a, but that lets White make a ko).

[Diagram]
Diag 3.1 Mistake by Black  

The natural move of B1 is a mistake. W2, at the vital point, threatens to connect out at a.

[Diagram]
Diag 3.2 Continuation  

But if Black blocks at B1, W2 reduces Black's eye space. Black is dead:

  • Next if Black a, White b
  • and if Black c, White d makes a bulky four.
[Diagram]
Diag 3.3 Continuation  

Black B1 also fails.

[Diagram]
Diag 4.1 Mistake by Black  

For once, the 1-2 point B1 doesn't work. White cuts and captures the two stones.

[Diagram]
Diag 5.1 Mistake by Black  

If Black tries B1, W2 plays at the vital point. One can check that Black is dead.

[Diagram]
Diag 5.2 One possible continuation  

For example, B1 here lets White kill with a bulky five.


XuanxuanQijingProblem17/Solution last edited by Malcolm on July 30, 2009 - 13:41
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