Tsumego from a game. What's the status of black group in the upper left corner?
$$c This is a label for the diagram. $$ ------------------------------- $$ | . X O . . X . . . . . . . . $$ | X O O X X X O O O O . . . . $$ | . X . X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | . O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .
[go]$$c This is a label for the diagram. $$ ------------------------------- $$ | . X O . . X . . . . . . . . $$ | X O O X X X O O O O . . . . $$ | . X . X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | . O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .[/go]
$$Wc This is also a diagram label. $$ ------------------------------- $$ | 4 X O 1 . X 5 . . . . . . . $$ | X O O X X X O O O O . . . . $$ | 2 X . X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | 3 O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .
[go]$$Wc This is also a diagram label. $$ ------------------------------- $$ | 4 X O 1 . X 5 . . . . . . . $$ | X O O X X X O O O O . . . . $$ | 2 X . X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | 3 O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .[/go]
There's also a more complicated variation where white captures inside and black takes outside, but it doesn't really do anything interesting - still seki unless I miss something.
This is a more interesting variation in my opinion.
$$Wc This is a label for the diagram. $$ ------------------------------- $$ | 1 . O 3 . X . . . . . . . . $$ | X O O X X X O O O O . . . . $$ | 2 X . X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | . O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .
[go]$$Wc This is a label for the diagram. $$ ------------------------------- $$ | 1 . O 3 . X . . . . . . . . $$ | X O O X X X O O O O . . . . $$ | 2 X . X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | . O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .[/go]
This is a more interesting variation in my opinion.
$$Wc This is a label for the diagram. $$ ------------------------------- $$ | 1 . O 3 . X . . . . . . . . $$ | X O O X X X O O O O . . . . $$ | 2 X . X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | . O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .
[go]$$Wc This is a label for the diagram. $$ ------------------------------- $$ | 1 . O 3 . X . . . . . . . . $$ | X O O X X X O O O O . . . . $$ | 2 X . X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | . O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .[/go]
If the seki isn't enough for white to win, maybe he can hope that black makes a mistake and starts a ko. But white loses about 1.5 points (on the outside) by making this seki instead of the other one. Amusing stuff happens if black captures six stones inside though (it's still a ko.)
Amusing stuff happens if black captures six stones inside though (it's still a ko.)
What ko? If white doesn't make a seki, Black can live by capturing. There is no ko there as far as I can see.
Ack, you're right - it's past my bedtime. I forgot about number 5 in the next diagram when I was reading ahead.
$$Bc Yet another diagram label. $$ ------------------------------- $$ | O 2 O O 3 X 4 . . . . . . . $$ | X O O X X X O O O O . . . . $$ | X X 5 X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | 1 O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .
[go]$$Bc Yet another diagram label. $$ ------------------------------- $$ | O 2 O O 3 X 4 . . . . . . . $$ | X O O X X X O O O O . . . . $$ | X X 5 X O O X X X X O O . . $$ | O X X X O O O X . X O . O . $$ | 1 O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .[/go]
$$Bc White fails to make a ko. $$ ------------------------------- $$ | . 6 7 . X X O . . . . . . . $$ | X . W X X X O O O O . . . . $$ | X X X X O O X X X X O O . . $$ | . X X X O O O X . X O . O . $$ | X O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .
[go]$$Bc White fails to make a ko. $$ ------------------------------- $$ | . 6 7 . X X O . . . . . . . $$ | X . W X X X O O O O . . . . $$ | X X X X O O X X X X O O . . $$ | . X X X O O O X . X O . O . $$ | X O O O . O X . X O O O . . $$ | . O . . O O X X X O . . . . $$ | . O O O . O O . . . . . . . $$ | . X X O X X O . . . . . . . $$ | . X O X . . X X . . . . . . $$ | . . . X X X . . . , . . . . $$ | . . . X . . . . . . . . . . $$ | . . . . . . . . . . . . . .[/go]
So yeah, just a seki, but 1.5 points worse than the other one.
Actually, even if the spot below the marked stone was miraculously open, black could just connect to the right of 7 and it would still be seki.
(;ST[2]FF[4]AP[GOWrite:2.2.21]CA[ISO8859-1]GM[1]SZ[19]C[As a tsumego status problem, Black is alive. ]PL[b]AB[dc][ge][ba][fa][bc][ie][dk][gi][hi][gc][bi][hc][ic][di][jc][cd][fh][bd][ab][dd][gf][hf][if][hd][jd][fj][fb][ch][bh][dj][db][eh][ej][eb]DT[2010-12-28]PW[ ]AW[fg][cg][fc][ca][dg][ec][fe][ke][le][gg][je][ce][de][be][kc][lc][ci][gh][bb][ef][cb][ff][ed][gd][fd][jf][bf][jb][kd][hb][md][ib][gb][dh][bg][ad]PB[ ]PM[0]FG[259:] ( ;C[*** Black to play can make two eyes.]B[da] ) ( ;C[*** White to play can take an eye.]W[da] ;B[ac] ( ;C[*** After White responds. . .]W[ae] ( ;C[*** Black can make at least seki.]B[aa] ( ;C[*** Seki.]W[ga] ) ( ;C[*** Black captures.]B[cc] ;W[ga] ;B[ea] )
) ( ;C[*** Under some circumstances, Black can allow this 10,000 year ko.]W[ga] )
( ;C[*** Under some circumstances, Black can play this ko.]B[cc] )
) ( ;C[*** Taking the ko is a mistake.]W[aa] ;B[ae] ;W[ga] ;B[cc] ;C[*** White is dead in a double ko.]W[af] )
)
( ;C[*** A mistake.]W[aa] ;B[ac] ( ;W[da] ;B[ae] ;W[ga] ;B[cc] ;C[*** White is dead in double ko.]W[af] ) ( ;W[ae] ;C[*** Black has two eyes.]B[da] )
)
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Last edited by Bill Spight on Thu Aug 01, 2019 9:23 am, edited 1 time in total.
The Adkins Principle: At some point, doesn't thinking have to go on?
— Winona Adkins
if double ko then black is alive but this does not necessary guarantee win. if white can create a double ko somewhere else then black can make no decision. having infinite ko is pretty strong advantage that can create havoc somewhere else. so answer is not so clear cut.
all depends on the situation is the correct answer.
"The more we think we know about
The greater the unknown" Words by neil peart, music by geddy lee and alex lifeson