What is natural for one is not for the other, hence this example. In my case, a weak group surrounded like this is screaming to be capped like Bill and dfan suggested. However, his move is not on Lizzie's list. Why not?
- Click Here To Show Diagram Code
[go]$$W White to play
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . O B . . . . |
$$ | . . . . O X . . . O . . . O X . . . . |
$$ | . . . O . . . . X O . . . . . X . . . |
$$ | . . . . X . . . . . . . . O . . . . . |
$$ | . . O . . . . . X . . . . . . X . . . |
$$ | . . . O . . . . . . . . . O . . . . . |
$$ | . . . . . . . . 1 . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . X . . . . . . . . . . . . X O . |
$$ | . . X . . . . . . . . . . . . . X O . |
$$ | . . O X . . . . . . . . . . . . X O . |
$$ | . . O , X . . . . X . . . . . X O . . |
$$ | . . . O O O . . . . . . . . . X O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Well Bill had it right: there is an obvious answer for Black, making good shape, reducing WHite's strength (and potential territory):
- Click Here To Show Diagram Code
[go]$$W Why the cap is not that interesting
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . b a . . . . . . . O B . . . . |
$$ | . . . . O X . . 3 O . . . O X . . . . |
$$ | . . . O . . . 4 X O . . . . . X . . . |
$$ | . . . . X . . . . 2 . c . O . . . . . |
$$ | . . O . . . . . X . . . . . . X . . . |
$$ | . . . O . . . . . . . . . O . . . . . |
$$ | . . . . . . . . 1 . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . X . . . . . . . . . . . . X O . |
$$ | . . X . . . . . . . . . . . . . X O . |
$$ | . . O X . . . . . . . . . . . . X O . |
$$ | . . O , X . . . . X . . . . . X O . . |
$$ | . . . O O O . . . . . . . . . X O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
After this sequence,

is oddly placed. Next White 'a' becomes urgent, or Black will easily settle with 'b'. Later, Black may play 'c' to further neutralize and weaken White's wall, which had been constructed at the expense of Black corner territory
So what does LZ like?
Bill suggested a shoulder hit and dfan suggested capping the bottom. Combining these ideas, indeed LZ has it on her mind to reduce the moyo like this, but she treats it as incidental, before playing the actual move she likes most.
- Click Here To Show Diagram Code
[go]$$W Bots plat shoulder hits?
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . O B . . . . |
$$ | . . . . O X . . . O . . . O X . . . . |
$$ | . . . O . . . . X O . . . . . X . . . |
$$ | . . . . X . . . . . . . . O . . . . . |
$$ | . . O . . . . . X . . . . . . X . . . |
$$ | . . . O . . . . . . . . . O . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . X . . . . . . . . . . . . X O . |
$$ | . . X . . . . . . . . . . . . . X O . |
$$ | . . O X . . . . . . 1 3 . . . . X O . |
$$ | . . O , X . . . . X 2 4 . . . X O . . |
$$ | . . . O O O . . . . . . . . . X O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
jlt suggested the invasion and that too is on LZ's mind, with this follow-up:
- Click Here To Show Diagram Code
[go]$$W Invasion?
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . O B . . . . |
$$ | . . . . O X . . . O . . . O X . . . . |
$$ | . . . O . . . . X O . . . . . X . . . |
$$ | . . . . X . . . . . . . . O . . . . . |
$$ | . . O . . . . . X . . . . . . X . . . |
$$ | . . . O . . . . . . . . . O . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X 6 4 . . . . . . . . . . . . . . |
$$ | . . . 5 . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 1 3 . 7 . . . . . . . . . . X . . |
$$ | . 2 . X . . . . . . . . . . . . X O . |
$$ | . . X . . . . . . . . . . . . . X O . |
$$ | . . O X . . . . . . . . . . . . X O . |
$$ | . . O , X . . . . X . . . . . X O . . |
$$ | . . . O O O . . . . . . . . . X O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
I believe Lizzie dismisses it because this leads to more turmoil, while White is ahead and should play a simple move.
Two proverbs come to the rescue:
1) Make territory while attacking
2) the enemy's key point is your own
I had already learnt from the bots that attacking from above, forcing to live, and get central influence as a result, is not their preferred mode of operations. The resulting influence is not that valuable in the bots' eyes, while the forced life goes at the expense of territory and aji. Rather, the bots like to attack sideways and make territory. These observations, combined with Black's answer to the cap, lead us to:
- Click Here To Show Diagram Code
[go]$$W Make territory while attacking
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . O B . . . . |
$$ | . . . . O X . . . O . . . O X . . . . |
$$ | . . . O . . . . X O . . . . . X . . . |
$$ | . . . . X . . 2 1 3 . . . O . . . . . |
$$ | . . O . . . . a X . . . . . . X . . . |
$$ | . . . O . . . . . . . . . O . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . X . . . . . . . . . . . . X O . |
$$ | . . X . . . . . . . . . . . . . X O . |
$$ | . . O X . . . . . . . . . . . . X O . |
$$ | . . O , X . . . . X . . . . . X O . . |
$$ | . . . O O O . . . . . . . . . X O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
This is LZ's preferred move. Playing

immediately is the more passive version of the same idea. Uberdude called it "a nice point but a tad overconcentrated" - seems like his intuition is well developed, whether or not by studying with LZ.
It's very counterintuitive to me, because instead of attacking the weak group wholesale, I'm allowing that group to sacrifice a part and build influence by connecting at 'a'. However, if Black does that, White can set up a splitting attack.
- Click Here To Show Diagram Code
[go]$$B Splitting attack
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . 4 3 . . . . . . . O B . . . . |
$$ | . . . . O X . . 5 O . . . O X . . . . |
$$ | . . . O . . . . X O . . . . . X . . . |
$$ | . . . . X . . X O O . . . O . . . . . |
$$ | . . O . . . . 1 X . . . . . . X . . . |
$$ | . . . O . . . . . . . . . O . . . . . |
$$ | . . . . 2 . . . . . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 6 . . . . . . . . . . . . . X . . |
$$ | . . . X . . . . . . . . . . . . X O . |
$$ | . . X . . . . . . . . . . . . . X O . |
$$ | . . O X . . . . . . . . . . . . X O . |
$$ | . . O , X . . . . X . . . . . X O . . |
$$ | . . . O O O . . . . . . . . . X O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

splits and Black has to make life with

and

, strengthening White's corner and not affecting the top group, which had strengthened herself to start with. Next White' attack at

is now much more purposeful.
Incidentally, Uberdude called out e18/f18 as hot and again LZ is on his side. She has it on her mind in the original position, and after having played the suggested moves, e18/f18 indeed becomes the best move very soon for either player. Well done ubderdude!
Finally, both Bill and Uberdude suggested the shoulder hit attack. How does Lizzie see the continuation?
- Click Here To Show Diagram Code
[go]$$W Shoulder hit attack
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . 9 7 8 . . . . . . O B . . . . |
$$ | . . . . O X . . 6 O . b . O X . . . . |
$$ | . . . O . . . . X O . . . . . X . . . |
$$ | . . . . X . . . . . . . . O . . . . . |
$$ | . . O . . . . . X 2 4 . . . . X . . . |
$$ | . . . O . . . . 0 1 3 5 . O . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X . . . . . . a . . . . . . . . . |
$$ | . . . . . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . X . . . . . . . . . . . . X O . |
$$ | . . X . . . . . . . . . . . . . X O . |
$$ | . . O X . . . . . . . . . . . . X O . |
$$ | . . O , X . . . . X . . . . . X O . . |
$$ | . . . O O O . . . . . . . . . X O . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Blocking leads to another variation, which LZ considers good for Black, so White backs off with

After Black 10, White jumps at 'a' and Black next moves in with 'b'. No one will be hurt, but White's territory goes to waste here, which LZ doesn't like.