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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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 second L+1 group with a weak leg is also unsettled. White can kill at a or Black can live by playing at a.
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.