Numsgil wrote:... how do you decide which direction to attach...?
...
Hmmm... there is some serious dan level horsepower in the posts above mine, but nobody has actually addressed the question of direction.
Shaddy gave you part of the correct answer:
Shaddy wrote:You have to read. It's kind of a copout answer, but I think it's really the only way to go when you want to do something as tactical as a deep invasion and have success.
Numsgil wrote:I don't mind reading, but it always feels like six of one, half a dozen of the other.
Your reaction to his answer is quite natural. You can read, but the variations that you read seem equivalent, for you don't know what you are trying to achieve. There is an issue of direction here. Shaddy probably knows it, and uses it to evaluate the variations that he reads, but he has become so used to doing it that he isn't consciously aware that he does it. That is why it feels like a copout. His answer is not wrong, just incomplete. We need to be explicit about direction.
Before addressing that, let's back up a bit and consider the nature of an attachment, and the theory of why it works.
As the proverb states, 'attach to strong stones, not to weak ones'. When you attach to a stone, the opponent adds one nearby, you add one, he adds another, etc, and both sides get stronger. Making your group stronger is good for you of course, but making his group stronger is not...unless it already is strong. Then making his strong stone stronger costs you almost nothing. His strength gets overconcentrated and thus is wasted.
So you attach to a strong stone, you fight, and you get stronger efficiently, he gets stronger inefficiently. To make this happen, you must ensure that his strong stones are close to each other, and as far as possible from you.
Let's look at some examples. ( These diagrams are a bit contrived and simplistic, but they illustrate the idea, even if they are not perfect in the particulars. ) Maybe we can infer a direction from them.
We'll start with a situation not too different from your example, just a bit stylized:
$$W
$$ . . . . . . . . . . . |
$$ . . . . . . . . X . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . B . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . X X X X X X . |
$$ . . . . . O O O O O . |
$$ . . . O . . . . . . . |
$$ . . . . . . . . . . . |
$$ ---------------------
- Click Here To Show Diagram Code
[go]$$W
$$ . . . . . . . . . . . |
$$ . . . . . . . . X . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . B . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . X X X X X X . |
$$ . . . . . O O O O O . |
$$ . . . O . . . . . . . |
$$ . . . . . . . . . . . |
$$ ---------------------[/go]
Suppose we want to attach to the marked stone. It is not a bad target for an attachment, for it is strong, being backed up by the wall to the south.
Let's first try attaching inside:
$$W
$$ . . . . . . . . . . . |
$$ . . . . . . . . X . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . a . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . 2 X . . |
$$ . . . . . 6 4 3 1 . . |
$$ . . . . 8 7 5 . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . X X X X X X . |
$$ . . . . . O O O O O . |
$$ . . . O . . . . . . . |
$$ . . . . . . . . . . . |
$$ ---------------------
- Click Here To Show Diagram Code
[go]$$W
$$ . . . . . . . . . . . |
$$ . . . . . . . . X . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . a . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . 2 X . . |
$$ . . . . . 6 4 3 1 . . |
$$ . . . . 8 7 5 . . . . |
$$ . . . . . . . . . . . |
$$ . . . . . . . . . . . |
$$ . . . . X X X X X X . |
$$ . . . . . O O O O O . |
$$ . . . O . . . . . . . |
$$ . . . . . . . . . . . |
$$ ---------------------[/go]
This is not looking good. We're probably going to die here. Even worse, because of his new strength, invading at 'a' can be dangerous.
Let's try attaching outside:
$$W
$$ . . . . . . . . . . . |
$$ . . . . . . . . X . . |
$$ . . . . . . . . . b . |
$$ . . . . . c . 7 9 a . |
$$ . . . . . . 5 6 8 . . |
$$ . . . . . . 4 3 1 0 . |
$$ . . . . . . . 2 X ? ? |
$$ . . . . . . . ? ? ? ? |
$$ . . . . . . . ? ? ? ? |
$$ . . . . . . . ? ? ? ? |
$$ . . . . . . . ? ? ? . |
$$ . . . . X X X X X X . |
$$ . . . . . O O O O O . |
$$ . . . O . . . . . . . |
$$ . . . . . . . . . . . |
$$ ---------------------
- Click Here To Show Diagram Code
[go]$$W
$$ . . . . . . . . . . . |
$$ . . . . . . . . X . . |
$$ . . . . . . . . . b . |
$$ . . . . . c . 7 9 a . |
$$ . . . . . . 5 6 8 . . |
$$ . . . . . . 4 3 1 0 . |
$$ . . . . . . . 2 X ? ? |
$$ . . . . . . . ? ? ? ? |
$$ . . . . . . . ? ? ? ? |
$$ . . . . . . . ? ? ? ? |
$$ . . . . . . . ? ? ? . |
$$ . . . . X X X X X X . |
$$ . . . . . O O O O O . |
$$ . . . O . . . . . . . |
$$ . . . . . . . . . . . |
$$ ---------------------[/go]
We have a successful invasion here. Not only that, but we are getting some strength facing northward, and after playing something like 'a' or 'b', we now have a group that is stronger than the triangled stone up top, and we may be able to attack it. Or we can just run with 'c'.
Black, on the other hand, is over concentrated. He gets territory in the shaded area, but he has spent a lot of stones to do it, and is overconcentrated.
From these two contrasting examples, we can infer a rule for direction.
Attach so that his newly built strength will be close to his pre-existing strength, and your newly built strength will be further away from it.Numsgil wrote:...how do you decide whether to cross cut or double hane assuming black hanes back?
...
Ok, now it's time to invoke Shaddy's answer: you read. But now you know what direction you are going, so you will be able to evaluate the results of your reading.
Now that we have a theory, let's try to apply it to the example that you gave.
$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . X . . . . X . . X . . . . |
$$ | . . . . . . . . . X . . . . . X . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , a . . |
$$ | . . . . . . . . . . . . . . . . # . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . B . . . |
$$ | . . . . . . . . . . . . . O . . . . . |
$$ | . . . O . . . . . O . . . . . B . . . |
$$ | . . . . O . . O . . . . . O . B . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------
- Click Here To Show Diagram Code
[go]$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . X . . . . X . . X . . . . |
$$ | . . . . . . . . . X . . . . . X . . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . O . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , a . . |
$$ | . . . . . . . . . . . . . . . . # . . |
$$ | . . X . . . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . . . . |
$$ | . . O . . . . . . . . . . . . B . . . |
$$ | . . . . . . . . . . . . . O . . . . . |
$$ | . . . O . . . . . O . . . . . B . . . |
$$ | . . . . O . . O . . . . . O . B . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
The squared stone is moderately strong, for it has three friends to the south. If we attach, theory says that we want to end up on the outside, at 'a',
away from his strength..
I find reading terribly boring, so it is time for my copout.

You know what you result you want, so just read accurately to get it. As Bill says, you may want to sacrifice a stone or two...I leave the details up to you.