Page 12 wrote:Remembering that diagonal relationships do not count as connections between stones,
Hi Joel,
I understand where you're going with this,
but I just want to point out it's a problem.
The problem is the way you discuss (or define) what constitutes a "connection" between stones.
In your text, up to page 12, when you write "connection,"
what you actually mean is, narrowly, a "solid connection":
$$B Shape 1
$$ . . . . . .
$$ . . X X . .
$$ . . . . . .
- Click Here To Show Diagram Code
[go]$$B Shape 1
$$ . . . . . .
$$ . . X X . .
$$ . . . . . .[/go]
Compare to, say, a diagonal shape:
$$B Shape 2
$$ . . . . . .
$$ . . . O . .
$$ . . O . . .
$$ . . . . . .
- Click Here To Show Diagram Code
[go]$$B Shape 2
$$ . . . . . .
$$ . . . O . .
$$ . . O . . .
$$ . . . . . .[/go]
When we see a diagonal shape, above,
we consider the two

stones to be "connected" --
just not "solidly connected", as in Shape 1.
The obvious Q&A:
1. Can Shape 1 be cut by enemy stones ? No (unconditional).
2(a). Can Shape 2 be cut by enemy stones ? Yes (conditional) --
if White allows certain local Black moves.
2(b). Can Shape 2 be cut by enemy stones if White replies correctly ? No. (conditional)
$$B Shape 2
$$ . . . . . .
$$ . . x O . .
$$ . . O y . .
$$ . . . . . .
- Click Here To Show Diagram Code
[go]$$B Shape 2
$$ . . . . . .
$$ . . x O . .
$$ . . O y . .
$$ . . . . . .[/go]
Because, as you are well aware, White has miai of (x) and (y) to become "solidly" connected.