Rectangular Eight in the Corner
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is the strongest attack. is the point to avoid ko. is necessary or White plays there (or to the right of it) to capture the corner. at or will also make a seki, but White would get an extra ko threat.
Nikok34 (KGS) : Can't in this position White can make a bent four in the corner with 1-1?
Nikok34 : Now I see why ... thanks.
The Count: This isn't necessarily a mistake, is it? If White has one big ko threat and no others then White can't win the approach ko above, but can win the throw-in ko, and so Black will play and White will make seki which is better than nothing.
IronChefSakai: It seems to me that White will rarely want to play the throw-in in the previous diagram (creating the approach ko), because assuming both players know this shape well, both White and Black would have to prefer a ko over seki and White would not only have to prefer a ko over seki, but would have to be willing to settle for a disadvantaged approach ko. Can anyone verify this thinking?
Conclusion for the endgame
For the mannen-ko, the stone in the ko will be black and Black will still have the outside liberty. ( can be either or .)