paullik wrote:
Since they are inside white's territory, right?
Yes, in a sense, but do you understand why it's white's territory now and not before?
Because it's only now that the are surrounded.
Well...
$$B Seki
$$ -------------------
$$ | . X X X . 2 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$B Seki
$$ -------------------
$$ | . X X X . 2 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
In this diagram, black's three stones are also surrounded, but they're alive in seki. So what's the difference between the this one and the following that makes it different?
$$W White lives outright
$$ -------------------
$$ | . X X X . . 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$W White lives outright
$$ -------------------
$$ | . X X X . . 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
Re: Why only after two black moves is white dead?
Posted: Wed Aug 26, 2015 1:21 pm
by paullik
skydyr wrote:
Well...
$$B Seki
$$ -------------------
$$ | . X X X . 2 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$B Seki
$$ -------------------
$$ | . X X X . 2 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
In this diagram, black's three stones are also surrounded, but they're alive in seki. So what's the difference between the this one and the following that makes it different?
$$W White lives outright
$$ -------------------
$$ | . X X X . . 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$W White lives outright
$$ -------------------
$$ | . X X X . . 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
The number of liberties of the white stones, which in fact lead to seki or to killing the three black stones.
Re: Why only after two black moves is white dead?
Posted: Wed Aug 26, 2015 2:03 pm
by skydyr
paullik wrote:
skydyr wrote:
Well...
$$B Seki
$$ -------------------
$$ | . X X X . 2 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$B Seki
$$ -------------------
$$ | . X X X . 2 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
In this diagram, black's three stones are also surrounded, but they're alive in seki. So what's the difference between the this one and the following that makes it different?
$$W White lives outright
$$ -------------------
$$ | . X X X . . 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$W White lives outright
$$ -------------------
$$ | . X X X . . 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
The number of liberties of the white stones, which in fact lead to seki or to killing the three black stones.
Well, if black plays here:
$$W White lives outright
$$ -------------------
$$ | . X X X 2 . 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$W White lives outright
$$ -------------------
$$ | . X X X 2 . 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
Isn't the number of liberties the same as before? White has 5 liberties in this and the other diagram.
$$W White lives outright
$$ -------------------
$$ | a X X X 2 b 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$W White lives outright
$$ -------------------
$$ | a X X X 2 b 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
White has three "outside" liberties so white can play at a and b (if necessary) so in the end the shape will be
$$W White lives with territory
$$ -------------------
$$ | O . . . . O O X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$W White lives with territory
$$ -------------------
$$ | O . . . . O O X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
The empty points inside White's group make four in a line which is alive.
If Black plays first as in the next diagram, White lives in seki, as do the three surrounded black stones.
$$B White lives in seki (no territory)
$$ -------------------
$$ | . X X X . 2 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .
[go]$$B White lives in seki (no territory)
$$ -------------------
$$ | . X X X . 2 1 X .
$$ | O O O O O O O X .
$$ | . O . X X X X X .
$$ | X O O . X . . . .
$$ | X O X X X . . . .
$$ | . X . . . . . . .
$$ | . X . X . . . . .
$$ | . . . . . . . . .[/go]
So in either case, White lives. In one case White gets points, in the other no points, but White lives in both cases.
Re: Why only after two black moves is white dead?
Posted: Thu Aug 27, 2015 6:44 am
by paullik
gowan wrote:
So in either case, White lives. In one case White gets points, in the other no points, but White lives in both cases.
I wouldn't have thought about this, since I was still looking at the problem from the point where black dies or not, not considering the fact that white remains alive.
Posted: Thu Aug 27, 2015 9:10 pm
by EdLee
Off topic:
I was still looking at... not considering...
Hi Paul,
Isn't it nice that Go teaches us...
To:
Look more deeply (not just the surface);
Look more broadly (the big and bigger pictures);
Look at not only our own situation, but our opponent's;
See the reality as it is (objectively; not subjectively, biased by our blindness, selfishness, over-confidence, cowardice, convenience, prejudices, jealousy, anger, stupidity, immaturity, impatience, greed, etc.)
( The same can be said about chess, many genuine martial arts, and other disciplines. )