An Short L+1 group is an L group with a leg on the short side.
A similar group exsst with the leg at (the long side) this is then the L1group/legonthelongside
If there are legs at both sides it is the L+2 group.
Both L+1 groups lives or dies according to who has sente.
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Now the 2-2 point is the vital point for Black.
The hane at may give some help in living.
The throw-in at doesn't work anymore. Black lives with : White can not connect at a because Black can capture three to make an eye.
To kill, can go straight to the 2-2 point. After , Black is dead. See the addendum of the rectangular six in the corner page. As before, the stone is important.
The two hane stones give some degree of security.
The attachment at leads to ko.
The second L+1 group with a weak leg is also unsettled. White can kill at a or Black can live by playing at a.
Erock: Can Black also live by playing the 1-2 point?
Answer to Erock: Jared Beck: In "Black lives 1" black lives, and white has 3 ko threats for a later time. In "Black lives 2" black also lives, but white has 4 ko threats.
Jared Beck: If Black chooses to give up a few points, he doesn't have to suffer the burden of a fourth ko threat.
Jared Beck: Please double-check this, I just looked at it briefly.
Chris Hayashida: The problem with the 1-2 point is descending on both sides (marked stones) threatens to kill the group. This isn't the case if was played correctly at the 2-2 point. Black cannot play at a for his second eye since it is self-atari.