Black played pincer and white decided to play attach and hane, how should black response?
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Wrong Answer: Black played a simple connect and extend, black direction is not very good.
Black 1 atari is similar.
Correct Answer: black 1 and 3 is the best choice, this move are nearly impossible to play in 19x19.
Because after ladder, black only get a small corner, but white could capture a stone outside. In 19x19, the stone outside should be much more valuable than the corner, but in this particular sitation, white influnce is not valuable. It is an interesting case to sarcrifice influence for sente and territories.
And the 13x13 center is also much smaller than the 19x19's, I suppose.