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 Diagram 21.1: Black to play
Let us discuss this corner shape seemingly weakened by .
Suppose white just plays , how can black respond?
 Diagram 21.2: White fails
is incorrect, but is wrong too.
is the key point and black is alive.
 Diagram 21.3: Black fails
occupies the key point instead.
is the most tricky answer (clearly or not working).
Although is a good move (a common tesuji to avoid those big-eye killing shapes), it doesn't work here......
 Diagram 21.3: Black fails (continued)
is a calm move. Black is killed.
 Diagram 21.4: Solution
It becomes clear now that is the key point.
If white plays , black has a number of forcing moves, followed by .
 Diagram 21.5: Solution (continued)
can be a tesuji sometimes. But because of the external liberty at 'a',
black can use Oshi-tsubushi tesuji to kill the white stones.
 Diagram 21.6: Black fails
also looks like a key point, but so is .
If black chooses , white can form almost a picnic ko. Black clearly fails.
 Diagram 21.7: Black fails too
here is better.
After there is just enough room for black to make two eyes.
Black is successful in a pure life & death sense.
But comparing to Diagram 21.4, black is almost 10 points worse off so I cannot accept this as an alternative solution.
 Diagram 21.8: White fails
is slightly more challenging. is incorrect.
Black can play and the corner is completely alive.
 Diagram 21.9: Same as Diagram 21.6
Apparently is the key point. This results the same as Diagram 21.6.
 Diagram 21.10: Black fails
doesn't work and the corner is killed by .
Conclusion: Diagram 21.4 is the only right solution.
Luckily it is not hard to memorise that:
is almost always the key point for Carpenter's Square shapes.
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