John Fairbairn wrote:
First the tewari as done here seems dubious to me. Even Bill's. I'm at a natural disadvantage here as the position needs more fingers than I've got, but in tewari (ii) I don't see how you can justify ending up with a position where locally both sides have the same number of stones but Black has one more stone on the board as a whole, whereas in the game they have played an equal number of stones overall.
Yes, there are questions with my tewari.
I have actually thought a bit more about it. I was trying an experiment of averaging tewari after each side played a small gote. I think that that makes sense, but it adds difficulty. As for tewari (ii), Black has made an extra move that gains only 3.5 pts., so it is not surprising that the position is inefficient for Black during the opening. How do you average tewari (i) and tewari (ii)? Not easy.
Also, I am doing tewari at a different position than some are evaluating.
- Click Here To Show Diagram Code
[go]$$Wc Position to tewari
$$ ---------------------------------------
$$ | . O . X . . . . . . . . . . . . . . . |
$$ | X O O O B X X X . . . . . . . . . . . |
$$ | O O X O O X O . . . . . . . . . . . . |
$$ | X X X X X O C O . , . . . . . X . . . |
$$ | . W . X O O O . . . . . . . . . . . . |
$$ | . X X O X . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . O . O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . W . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . B . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Not everybody else is including the marked stones. And we should remember that Black has played a stone at
.
- Click Here To Show Diagram Code
[go]$$Wc White sente
$$ ---------------------------------------
$$ | . O 4 X 2 . . . . . . . . . . . . . . |
$$ | X O O O X X X X . . . . . . . . . . . |
$$ | O O X O O X O . . . . . . . . . . . . |
$$ | X X X X X O . O . , . . . . . X . . . |
$$ | . O . X O O O . . . . . . . . . . . . |
$$ | 1 X X O X . . . . . . . . . . . . . . |
$$ | . 3 . O . . . . . . . . . . . . . . . |
$$ | . O . O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . X . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
We humans can simplify the position to evaluate by playing White's sente. The top left side is still unsettled, in the sense that there is a small gote left. However, we can simplify further.
- Click Here To Show Diagram Code
[go]$$Wc Position for tewari
$$ ---------------------------------------
$$ | B O X X X . . . . . . . . . . . . . . |
$$ | X O O O X X X X . . . . . . . . . . . |
$$ | O O X O O X O . . . . . . . . . . . . |
$$ | X X X X X O C O . , . . . . . X . . . |
$$ | . O . X O O O . . . . . . . . . . . . |
$$ | O X X O X . . . . . . . . . . . . . . |
$$ | . O W O . . . . . . . . . . . . . . . |
$$ | . O . O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . X . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
In the yose, regardless of who plays first in the top left, Black will play
and capture the White stones and White will play
. So this is the simplified position to evaluate.
In this position there is still a 3.5 pt. gote in the corner, but it is contained. Locally it is worth 1.5 pts. for White. Black to play can make 2 pts.; White to play can make 5 pts.
- Click Here To Show Diagram Code
[go]$$Wc Tewari
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X X X . . . . . . . . . . . |
$$ | . . . . . X O . . . . . . . . . . . . |
$$ | X X X X X O . O . , . . . . . X . . . |
$$ | . O . X O O O . . . . . . . . . . . . |
$$ | O X X O B . . . . . . . . . . . . . . |
$$ | . O O O . . . . . . . . . . . . . . . |
$$ | . W . @ . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . , . . . . . , . . . . . , . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . O . . . . . , . . . . . X . . . |
$$ | . . . . . X . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Black has captured 8 White stones in the corner and White has captured 1 Black stone. We balance the captures by removing 7 Black stones from the corner. I think that this tewari clearly favors Black in the top left corner. The
stone has aji, but the
stone is plainly badly placed. Those two stones are not equivalent, but if we treat them as equivalent and remove them, the
stone is badly placed. Definitely good for Black.