I'm going to pick
R6. I'm not too sure what we can get when we invade the upper left right now so I'm just going to put that decision off. Black has to spend at least one, rather two, more moves to make any of that into territory so it's not too urgent. We still have a lot of aji up there and I want to wait until the situation is a bit clearer.
So why don't we protect the upper right corner then? In my opinion it is just too slow. The only reasonable enclosure we have is the 33 point which isn't even the ideal enclosure for a 45 point. What's even worse is that there is a big, fat black stone sitting right in our direction of play

Since we missed our chance to pincer the black group, that also means we missed our chance to take the top left corner. I say: let black invade! Let him have the corner! We are going to have influence facing the right side so we need stones there to use it.
The real question is which approach to use. I quickly dismissed the two wishy-washy move and am left with the R6 approach and the two space high approach.
The R6 Approach
The pros of this move are abundant. This is the approach my team members are most familiar with. It is also threatening to slide/jump into the corner and destroy blacks territory. It is also the severest approach in that a double approach is very painful. And if black plays passively we get exactly what (I?) want.
$$Bcm15 Prisoner Count: B-0 W-0
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$$ | . O X X . . . . . . . . . . . . . . . |
$$ | . . O , X . . . . X . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . X O . . . . . . . . . . . . . . . |
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$$ | . . . , . . . . . X . . . . . 4 . . . |
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$$ | . . . . . . . . . . . . . . . . 2 . . |
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$$ | . . . X . . . . . , . . . 3 . X . . . |
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$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$Bcm15 Prisoner Count: B-0 W-0
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$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . O . . . . . . . . . . . . . . . . . |
$$ | . O X X . . . . . . . . . . . . . . . |
$$ | . . O , X . . . . X . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . X O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . 4 . . . |
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$$ | . . . . . . . . . . . . . . . . 2 . . |
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$$ | . . . X . . . . . , . . . 3 . X . . . |
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$$ ---------------------------------------[/go]
The thing that worries me are pincers. I had previously declared that black has an advantage in any running fight because of the tengen and that pincering would be a nice tactic I still believe that, but I'm not too afraid.
$$Wcm16 Prisoner Count: B-0 W-0
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . O . . . . . . . . . . . . . . . . . |
$$ | . O X X . . . . . . . . . . . . . . . |
$$ | . . O , X . . . . X . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . X O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . X . . . . . 7 . . . |
$$ | . . . . . . . . . . . . . . . 5 6 . . |
$$ | . . . . . . . . . . . . . . . . 2 . . |
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$$ | . . . . . . . . . . . . . . 3 . 1 . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . , . . . 4 . X . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$Wcm16 Prisoner Count: B-0 W-0
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . O . . . . . . . . . . . . . . . . . |
$$ | . O X X . . . . . . . . . . . . . . . |
$$ | . . O , X . . . . X . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . O . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . X O . . . . . . . . . . . . . . . |
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$$ | . . . , . . . . . X . . . . . 7 . . . |
$$ | . . . . . . . . . . . . . . . 5 6 . . |
$$ | . . . . . . . . . . . . . . . . 2 . . |
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$$ | . . . . . . . . . . . . . . 3 . 1 . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . X . . . . . , . . . 4 . X . . . |
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$$ ---------------------------------------[/go]
This joseki allows white to build a wall towards tengen while sealing blacks group in. It's probably not optimal because we don’t have a lot of territory, but the corner is still open and I'm comfortable with influence based games anyway.
Questions to my Teammates:
1) Would you go with a two space high instead in fear of a pincer?
2) What is your assessment of the black group on the upper side?