my own 2 cents
I am much weaker than the other posters so beware but here is an attempt at rationalizing what i understand:
90% of the time if you want to approach a 4 line stone from below, a knight move is better than a diagonal move
This is true for the hoshi stone but also in general for all 4 line stones
I believe this is important because all games have several of this kind of approach.
In this game you have this kind of move at:
5,8,16 (corner stone) and 68,72 ( 4th line stone on the side)
knight approach is usually far superior. For example:
$$ answer by a kick - locally B is stronger than W
$$ . . . . . . . . . . . .
$$ . . . . . O . 3 . . . .
$$ . . . . a . 2 1 . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$---------------------------
- Click Here To Show Diagram Code
[go]$$ answer by a kick - locally B is stronger than W
$$ . . . . . . . . . . . .
$$ . . . . . O . 3 . . . .
$$ . . . . a . 2 1 . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$---------------------------[/go]
after the block B stones are ok ans W stone have some weakness ie B can still aim at a .
Not saying that its not good from W but rather it is ok for B.
another W answer is

at

but B is usually fine also (don't want to put too many diagrams) and in that case the bottom is still open
On the other hand after the diagonal play from below B can play head of 2 stones which can be unpleasant
$$ ugly for black
$$ . . . . . . 4 . . . . .
$$ . . . . . O 3 . . . . .
$$ . . . . . 2 1 . . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$---------------------------
- Click Here To Show Diagram Code
[go]$$ ugly for black
$$ . . . . . . 4 . . . . .
$$ . . . . . O 3 . . . . .
$$ . . . . . 2 1 . . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$---------------------------[/go]
$$ ugly too: B has made no progress
$$ . . . . . . . . . . . .
$$ . . . . . O 2 . . . . .
$$ . . . . . 4 1 3 . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$---------------------------
- Click Here To Show Diagram Code
[go]$$ ugly too: B has made no progress
$$ . . . . . . . . . . . .
$$ . . . . . O 2 . . . . .
$$ . . . . . 4 1 3 . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$---------------------------[/go]
W gets to chose which diagram he wants (ie W choose whih

he wants to play)and usually at least one of them is really good for him (her?)
This is NOT to be confused with the shoulder hit, from ABOVE and not from BELOW .
$$ shoulder hit:fine for black (locally at least)
$$ . . . . . . 3 . . . . .
$$ . . . . . 2 1 . . . . .
$$ . . . . . O . . . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$---------------------------
- Click Here To Show Diagram Code
[go]$$ shoulder hit:fine for black (locally at least)
$$ . . . . . . 3 . . . . .
$$ . . . . . 2 1 . . . . .
$$ . . . . . O . . . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$ . . . . . . . . . . . .
$$---------------------------[/go]
i think a lot of DDk are confused between last diagram (shoulder hit, good) and the diags before ("armpit nudge", bad )
please flame away if I grossly misrepresented the matter
