I didn't talk about the potential that Black would still attach on top in any of my previous posts. I knew the possibility existed in the back of my head, and should have guessed that it would happen given

, but for some reason didn't think to analyze it. I'll need to be more careful about covering the universe of possible black plays before deciding on a path in the rest of this game.
Just as I didn't know the 3-3 invasion josekis all that well, I'm not terribly familiar with this one either. First, some basic principles/thoughts: Black's move calls out that White has created 2 groups, and aims to keep them separated. Thus, for purposes of evaluating results here, Black will succeed if he completely kills one group (ie, consolidates the corner and one side); White will succeed if he can make strong groups both on the bottom and in the corner/side; and an even result will likely involve one strong white group in one of those spots, and aji in the other.
Next, possible moves. The hane seems like the obvious choice, but I can see a few other options that might work as well:
$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . 1 . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 5 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . 6 . . . . . , . . . |
$$ | . . 4 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 3 . . . . . . . . . . . . . . . . |
$$ | . . . . d 8 a . . . . . . . . . . . . |
$$ | . . . X b 7 . . . , . . . . . 2 . . . |
$$ | . . c . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . 1 . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 5 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . 6 . . . . . , . . . |
$$ | . . 4 . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . 3 . . . . . . . . . . . . . . . . |
$$ | . . . . d 8 a . . . . . . . . . . . . |
$$ | . . . X b 7 . . . , . . . . . 2 . . . |
$$ | . . c . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
- A - The hane makes sense. White's goal is to make two strong groups from his two currently weak ones, and the way to get stronger is to play contact moves.
- B - This also makes the bottom-side group strong, but it has two related problems. First, it plays into a situation where Black has played a hane at the head of two stones, which is good shape for him and bad shape for me. Second, it starts to damage the corner aji more than I'd like. I need to make my group strong while leaving as much potential in the corner/left side as possible.
- C - Seems creative and interesting in a let's-be-crazy sort of way, but again seems to only be looking for 1 live group.
- D - This seems like a gross overplay, particularly since the ladder doesn't work for White.
To try to make this a bit more clear for observers, here are the results I would predict if I tried B or C. Notice also that both are gote for White.
$$W Rough Predictions
$$ | . . . , . . . . | . . . , . . .
$$ | . . X . . . . . | . . X . . . .
$$ | . . . . . . . . | . . . . . . .
$$ | . . . . . . . . | . . . . . . .
$$ | . . O . . . . . | . . O . . . .
$$ | . . 7 6 2 X . . | . . . . 8 X .
$$ | . . 5 X 1 O b . | . . 2 X 5 O .
$$ | . . 4 3 8 . . . | . 6 1 3 4 9 .
$$ | . . a 9 0 . . . | . . . . 7 . .
$$ | . . . . . . . . | . . . . . . .
$$ --------------------------------
- Click Here To Show Diagram Code
[go]$$W Rough Predictions
$$ | . . . , . . . . | . . . , . . .
$$ | . . X . . . . . | . . X . . . .
$$ | . . . . . . . . | . . . . . . .
$$ | . . . . . . . . | . . . . . . .
$$ | . . O . . . . . | . . O . . . .
$$ | . . 7 6 2 X . . | . . . . 8 X .
$$ | . . 5 X 1 O b . | . . 2 X 5 O .
$$ | . . 4 3 8 . . . | . 6 1 3 4 9 .
$$ | . . a 9 0 . . . | . . . . 7 . .
$$ | . . . . . . . . | . . . . . . .
$$ --------------------------------[/go]
Now for my selected move. The obvious Black response is to draw back (I expect this is Joaz's trigger), after which I'll need to decide which way to connect my two stones, the hanging connection (A) or the solid connection (B). (I briefly looked at Black extending to the X spot instead and concluded it would be an overplay. But I didn't spend too much time on it.)
$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . x . . . . . . . . . . . . . |
$$ | . . . . 2 X 1 . . . . . . . . . . . . |
$$ | . . . X . O b a . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . x . . . . . . . . . . . . . |
$$ | . . . . 2 X 1 . . . . . . . . . . . . |
$$ | . . . X . O b a . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
The advantage to A is that it works better when Black tries to build up the middle and use his tengen stone, like so:
$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . 6 . . . . . . . . . . . |
$$ | . . O . . . 4 5 . . . . . . . . . . . |
$$ | . . . . 2 X 1 . . . . . . . . . . . . |
$$ | . . . X . O . 3 . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . 6 . . . . . . . . . . . |
$$ | . . O . . . 4 5 . . . . . . . . . . . |
$$ | . . . . 2 X 1 . . . . . . . . . . . . |
$$ | . . . X . O . 3 . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
If I had played the solid connection instead,

would be a more powerful move, aiming to consolidate the left side and kill C6 on a larger scale. Because of the hanging connection, however, I can also respond strongly and C6 retains most of its aji. In addition, I'll be building some very nice thickness to come to O3.
The advantage of B is that it removes aji along the bottom-side, which, in turn, increases my aji in the corner. With the hanging connection, Black can try to consolidate the corner by poking at White's shape. However, when I studied this, I couldn't find good real way for Black to completely eliminate the corner aji.
So, I guess I'm predicting some sort of development along these lines, which looks OK for White:
$$Wc

at a or b (probably b)
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . 8 . . . . . . . . . . . . |
$$ | . . O . . . 6 7 . . . . . . . . . . . |
$$ | . . . . 2 X 1 . . . . . . . . . . . . |
$$ | . . . X . O . 3 . , . . . . . X . . . |
$$ | . . a . 4 5 . . . . . . . b . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$Wc
at a or b (probably b)
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . 8 . . . . . . . . . . . . |
$$ | . . O . . . 6 7 . . . . . . . . . . . |
$$ | . . . . 2 X 1 . . . . . . . . . . . . |
$$ | . . . X . O . 3 . , . . . . . X . . . |
$$ | . . a . 4 5 . . . . . . . b . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Or maybe:
$$Wc Still plenty of aji left in C6. Will Black have time to play A?
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . ? . . . . . . . . . . . . . . . |
$$ | . . . a ? . ? . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . 2 X 1 . . . . . . . . . . . . |
$$ | . ? . X . O . 3 . , . . . . . X . . . |
$$ | . . . . 6 4 5 . . . . . . 7 . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$Wc Still plenty of aji left in C6. Will Black have time to play A?
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . , . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . ? . . . . . . . . . . . . . . . |
$$ | . . . a ? . ? . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . 2 X 1 . . . . . . . . . . . . |
$$ | . ? . X . O . 3 . , . . . . . X . . . |
$$ | . . . . 6 4 5 . . . . . . 7 . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
If

peeps at G3, it's pretty annoying though, and I'm still working on the best response there.