This 'n' that

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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

Well, nobody has bitten so far. Here is an unhelpful hint. ;)
Black gets the last 1 pt. play
Click Here To Show Diagram Code
[go]$$Wc Variation 1
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X 2 . . |
$$ | . O . O X . . . . X 1 X . |
$$ | . O X X X X X X X X O X 6 |
$$ | X O . . . . . X O O O O 4 |
$$ | X X X X X X X X O . . . 5 |
$$ | . . . . . . . 8 X O . O . |
$$ | . . . . . . . X 7 3 . . . |
$$ ---------------------------[/go]
After :w3: Black must play the hane-and-connect to get the last 1 pt. play.
Click Here To Show Diagram Code
[go]$$Wc Variation 2
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X 2 . . |
$$ | . O . O X . . . . X 1 X . |
$$ | . O X X X X X X X X O X 4 |
$$ | X O . . . . . X O O O O 3 |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X 6 5 . . . |
$$ ---------------------------[/go]
:w3: is a 2 pt. sente. White could also play the hane-and-connect at 4. It's ambiguous.

However, the hane-and-connect is technically inferior to the descent at 5.

Since Black gets the last play that gains 1 pt., White's job is to round the score to a 1 pt. win.
Last edited by Bill Spight on Mon Nov 13, 2017 2:17 pm, edited 1 time in total.
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ez4u
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Re: This 'n' that

Post by ez4u »

Patience William, patience! I can win, but cannot yet say why with confidence. Therefore cannot yet be sure whether Black has additional resources. Annoyingly addictive problem though. :)
Dave Sigaty
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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

ez4u wrote:Annoyingly addictive problem though. :)
Glad you like it, Dave. :)
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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

I feel confident that Dave has found the solution. But, as he says, why it is right is not easy to explain. Anyway, it has been more than a week, so here goes. :)
Click Here To Show Diagram Code
[go]$$Wc White to play
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X 2 . . |
$$ | . O . O X . . . . X 1 X . |
$$ | . O X X X X X X X X O X 4 |
$$ | X O . . . . . X O O O O 3 |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X 6 5 . . . |
$$ ---------------------------[/go]
The first few moves occur at temperature 1, but Black gets the last play at that temperature. :w3: is sente, but White could also play it at 5.
Click Here To Show Diagram Code
[go]$$Wc White wins
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | a O . O . O 7 O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X X . . |
$$ | . O . O X . . . . X O X . |
$$ | . O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
The winning move is :w7:. Now the rest is miai, for a score of 1 pt. for White. That is far from obvious. ;) Besides, the play at "a" looks bigger. Normally an open corridor of length 8 is equivalent to a closed corridor of length 6. How can the best play be on a closed corridor of length 4? The answer lies in the threatened atari against the Black stones on the top edge.

Anyway, here is one way to play out the miai. Since the whole board is miai, there are several ways to play, OC.
Click Here To Show Diagram Code
[go]$$Wc White wins, cont.
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | . O . O . O O O 8 O 9 O X |
$$ | . O . O . O . O 0 O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X X . . |
$$ | . O . O X . . . . X O X . |
$$ | . O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
:b8: and :w9: are obviously miai, even if they may not appear to be best. ;) :b10: eliminates the atari before the dame stage, so the remaining plays continue as usual.
Click Here To Show Diagram Code
[go]$$Wcm11 White wins (ii)
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | 1 O 5 O . O O O X O O O X |
$$ | . O . O . O . O X O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O 7 O . O X X X X X . . |
$$ | 3 O 6 O X . . . . X O X . |
$$ | 2 O X X X X X X X X O X X |
$$ | X O 4 . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
:w11: - :w13: closes off the longest corridor. Then :b14: - :w17: are miai.
Click Here To Show Diagram Code
[go]$$Bcm18 White wins (iii)
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | O O O O 2 O O O X O O O X |
$$ | . O . O . O . O X O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O 4 O O O X O X X X |
$$ | . O O O 3 O X X X X X . . |
$$ | O O X O X 1 . . . X O X . |
$$ | X O X X X X X X X X O X X |
$$ | X O X . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
Then :b18: - :w21: are miai. Black scores 25 pts., but White scores 26 pts. to win by 1 pt. :)

Let's try a variation for Black at move 10.
Click Here To Show Diagram Code
[go]$$Bcm10 Variation
$$ ---------------------------
$$ | X X X X X X X X X X X X 9 |
$$ | 6 O 4 O 8 O O O X O O O X |
$$ | . O . O . O . O 2 O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | 7 O 0 O . O X X X X X . . |
$$ | 3 O 5 O X . . . . X O X . |
$$ | 1 O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
:b10: enters the longest corridor, and :w11: closes off the shortest one. Then the two White corridors on the left are plainly miai. After :b12: - :w15: they still are. After :b16: :w17: gets in the sente and then comes back to :w19:.
Click Here To Show Diagram Code
[go]$$Bcm20 Variation, cont.
$$ ---------------------------
$$ | X X X X X X X X X X X X X |
$$ | O O O O O O O O X O O O X |
$$ | . O . O . O . O O O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | 4 O . O . O O O X O X X X |
$$ | X O O O 2 O X X X X X . . |
$$ | X O X O X 3 . . . X O X . |
$$ | X O X X X X X X X X O X X |
$$ | X O 1 . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
:b20: and :w21: are miai, as are :b22: and :w23:. Black gets 25 pts. and White gets 26 pts., as above. :)
The Adkins Principle:
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— Winona Adkins

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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

White failure.
Click Here To Show Diagram Code
[go]$$Wc White failure, jigo
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | 7 O . O . O 8 O . O . O X |
$$ | . O . O . O 0 O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X X . . |
$$ | . O . O X . . . . X O X . |
$$ | 9 O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
:w7: looks correct, but it is a very small error. :b8: is correct, OC. ;) Then :w9: is correct if :w7: was correct. (Edit: :w9: is actually correct now, but we don't have to show that. ;)) :b10: eliminates the sente against the Black stones on the top edge. The rest of the play is as usual.
Click Here To Show Diagram Code
[go]$$Wcm11 White failure (ii)
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | O O 1 O 5 O X O . O . O X |
$$ | . O . O . O X O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O 7 O O O X O X X X |
$$ | . O 3 O 6 O X X X X X . . |
$$ | . O 2 O X 8 . . . X O X . |
$$ | O O X X X X X X X X O X X |
$$ | X O 4 . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
:w11: - :b14: are miai, as are :w15: - :b18:.
Click Here To Show Diagram Code
[go]$$Wcm19 White failure (iii)
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | O O O O O O X O 1 O 2 O X |
$$ | . O . O . O X O . O 4 O X |
$$ | . O . O . O 3 O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O O O O O X O X X X |
$$ | . O O O X O X X X X X . . |
$$ | . O X O X X . . . X O X . |
$$ | O O X X X X X X X X O X X |
$$ | X O X . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
Finally :w19: and :b20: are miai, as are :w21: and :b22:. Black gets 25 pts., as usual, and White also gets 25 pts., for jigo. :cry:
The Adkins Principle:
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— Winona Adkins

Visualize whirled peas.

Everything with love. Stay safe.
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RobertJasiek
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Re: This 'n' that

Post by RobertJasiek »

Click Here To Show Diagram Code
[go]$$Wc White wins
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | a O . O . O 7 O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X X . . |
$$ | . O . O X . . . . X O X . |
$$ | . O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
"Now the rest is miai"

Once more I wonder: What IS 'miai'? (And, applied to this position, why do we have a miai here?)
Click Here To Show Diagram Code
[go]$$Wc White wins, cont.
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | . O . O . O O O 8 O 9 O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X X . . |
$$ | . O . O X . . . . X O X . |
$$ | . O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
":b8: and :w9: are obviously miai"

Why are they miai? What IS miai? It must be something more specific than 'same move value'.
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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

RobertJasiek wrote:
Click Here To Show Diagram Code
[go]$$Wc White wins, cont.
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | . O . O . O O O 8 O 9 O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X X . . |
$$ | . O . O X . . . . X O X . |
$$ | . O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
":b8: and :w9: are obviously miai"

Why are they miai? What IS miai? It must be something more specific than 'same move value'.
These corridors are obviously miai because, sans ko, we may consider that if one player plays in one the other player will play in the other. There are only two of these, so that is obvious. Now suppose that there are more than two of them. In actual play we do not know which one our opponent may play in, but we can decide which pair or pairs to regard as miai.
Click Here To Show Diagram Code
[go]$$Wc White wins
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | a O . O . O 7 O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X X . . |
$$ | . O . O X . . . . X O X . |
$$ | . O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
"Now the rest is miai"

Once more I wonder: What IS 'miai'? (And, applied to this position, why do we have a miai here?)
Like most words, miai has more than one meaning. The basic one is that there is a pair of local positions such that we may assume, in correct alternating play sans ko, that one player will play in one and the other player will play in the other. We may also have a pair of plays in a single local position where the plays are not independent, such that we may assume that one player will make one play and the other player will make the other. Sometimes we know which player will make which play. It does not matter which player plays in a miai first, and, as I have indicated above, we may regard a pair of plays or positions as miai without consulting the other player.

Suppose that we have two independent, mirror positions on the board. Sans ko, they are miai. They are miai, no matter how complex they are, because if one player plays in one, the other player may make the corresponding opposite and equal play in the other, to produce another pair of mirror positions.

In this case, although it is complicated, play proceeds through a number of miai sequences. It does not matter who plays first, the result will be the same. Let White play first, and the result will still be a one point win for White.
Click Here To Show Diagram Code
[go]$$Wc White wins by one point
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | 3 O . O . O W O 1 O 2 O X |
$$ | . O . O . O . O . O 6 O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O . O O O X O X X X |
$$ | . O . O . O X X X X X . . |
$$ | 5 O . O X . . . . X O X . |
$$ | 4 O X X X X X X X X O X X |
$$ | X O . . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
:w1: and :b2: are miai. :w3: - :b6: is a miai sequence.
Click Here To Show Diagram Code
[go]$$Wcm7 White wins by one point
$$ ---------------------------
$$ | X X X X X X X X X X X X . |
$$ | O O 1 O 5 O W O O O X O X |
$$ | . O . O . O . O . O X O X |
$$ | . O . O . O . O . O . O X |
$$ | . O . O . O . O O O O O X |
$$ | . O . O 7 O O O X O X X X |
$$ | . O 3 O 6 O X X X X X . . |
$$ | O O 2 O X 8 . . . X O X . |
$$ | X O X X X X X X X X O X X |
$$ | X O 4 . . . . X O O O O O |
$$ | X X X X X X X X O . . . . |
$$ | . . . . . . . . X O . O . |
$$ | . . . . . . . X X O . . . |
$$ ---------------------------[/go]
:w7: - :b10: and :w11: - :b14: are miai sequences. Black gets 25 pts. but White gets 26 pts. to win by 1 pt. :D
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lightvector
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Re: This 'n' that

Post by lightvector »

Question for Bill - assuming no ko is involved anywhere, if you have two copies of a subgame G such that the temperature never increases as you descend any branch of the game tree of G (for example, pushing down a corridor that terminates in nothing or that terminates in only saving a single stone at the end satisfies this condition), is it always the case that you can treat the first move in the two copies of G as "miai" when determining what best play is?

And if so, is there a more general condition than this?
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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

lightvector wrote:Question for Bill - assuming no ko is involved anywhere, if you have two copies of a subgame G such that the temperature never increases as you descend any branch of the game tree of G (for example, pushing down a corridor that terminates in nothing or that terminates in only saving a single stone at the end satisfies this condition), is it always the case that you can treat the first move in the two copies of G as "miai" when determining what best play is?

And if so, is there a more general condition than this?
With no kos, if the temperature of G is less than 1, you can treat two copies of G as miai. Otherwise, maybe.

In the following position, consider play only in the corridors.
Click Here To Show Diagram Code
[go]$$ Miai, but . . .
$$ -------------------
$$ | O X . . X . . X O |
$$ | O O O O X O O O O |
$$ | . . . . X . . . . |
$$ | . . . . . . . . . |
$$ | . . . O . . . . . |
$$ | . . . O X X X . . |
$$ | . . . O . O X . . |
$$ | . . . O X X X X X |
$$ | . . . O . . . O X |
$$ -------------------[/go]
Here the top two corridors are not miai.
Click Here To Show Diagram Code
[go]$$ Black wins
$$ -------------------
$$ | O X . 1 X 2 . X O |
$$ | O O O O X O O O O |
$$ | . . . . X . . . . |
$$ | . . . . . . . . . |
$$ | . . . O . . . . . |
$$ | . . . O X X X . . |
$$ | . . . O . O X . . |
$$ | . . . O X X X X X |
$$ | . . . O 3 . . O X |
$$ -------------------[/go]
:w2: is a mistake. In the corridors Black wins by 1 pt.
Click Here To Show Diagram Code
[go]$$ Miai play
$$ -------------------
$$ | O X . 1 X . . X O |
$$ | O O O O X O O O O |
$$ | . . . . X . . . . |
$$ | . . . . . . . . . |
$$ | . . . O . . . . . |
$$ | . . . O X X X . . |
$$ | . . . O . O X . . |
$$ | . . . O X X X X X |
$$ | . . . O 2 . . O X |
$$ -------------------[/go]
:b1: and :w2: are miai. The rest is a mirror position, for jigo. :)

Edit: Note that :b1: and :w2: are not interchangeable. We expect White to play will play :w1: at 2, and then Black will reply at 1. If instead White to play plays :w1: at 1, Black will not reply at 2.
Click Here To Show Diagram Code
[go]$$W Miai play
$$ -------------------
$$ | O X . 1 X 4 5 X O |
$$ | O O O O X O O O O |
$$ | . . . . X . . . . |
$$ | . . . . . . . . . |
$$ | . . . O . . . . . |
$$ | . . . O X X X . . |
$$ | . . . O 3 O X . . |
$$ | . . . O X X X X X |
$$ | . . . O 2 . . O X |
$$ -------------------[/go]
White wins one point in the corridors.

Instead Black replies this way.
Click Here To Show Diagram Code
[go]$$W Miai play
$$ -------------------
$$ | O X . 1 X 2 . X O |
$$ | O O O O X O O O O |
$$ | . . . . X . . . . |
$$ | . . . . . . . . . |
$$ | . . . O . . . . . |
$$ | . . . O X X X . . |
$$ | . . . O . O X . . |
$$ | . . . O X X X X X |
$$ | . . . O 3 4 . O X |
$$ -------------------[/go]
Jigo. :)
Last edited by Bill Spight on Sat Dec 02, 2017 6:44 am, edited 2 times in total.
The Adkins Principle:
At some point, doesn't thinking have to go on?
— Winona Adkins

Visualize whirled peas.

Everything with love. Stay safe.
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lightvector
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Re: This 'n' that

Post by lightvector »

Hmmm, I'll need to think about that a bit. Thanks. :)
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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

This position is perhaps instructive.
Click Here To Show Diagram Code
[go]$$ Top side miai
$$ -------------------
$$ | O . . 2 X 3 4 . O |
$$ | O O O O X O O O O |
$$ | . . . . X . . . . |
$$ | . . . . . . . . . |
$$ | . . . O . . . . . |
$$ | . . . O X X X . . |
$$ | . . . O 5 . X . . |
$$ | . . . O X X X X X |
$$ | . . . O 1 . . . X |
$$ -------------------[/go]
Since the temperature is less than one, :w2: and :b3: are miai. Then, as it turns out, :w4: and :b5: are also miai. :)
Click Here To Show Diagram Code
[go]$$W White first
$$ -------------------
$$ | O . 6 4 X 3 . . O |
$$ | O O O O X O O O O |
$$ | . . . . X . . . . |
$$ | . . . . . . . . . |
$$ | . . . O . . . . . |
$$ | . . . O X X X . . |
$$ | . . . O 5 . X . . |
$$ | . . . O X X X X X |
$$ | . . . O 1 2 . . X |
$$ -------------------[/go]
The Adkins Principle:
At some point, doesn't thinking have to go on?
— Winona Adkins

Visualize whirled peas.

Everything with love. Stay safe.
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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

New problem. :)
Click Here To Show Diagram Code
[go]$$B Black to play
$$ ---------------------
$$ . X . . . . . . O X .
$$ . X O O . . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
Enjoy! :D
The Adkins Principle:
At some point, doesn't thinking have to go on?
— Winona Adkins

Visualize whirled peas.

Everything with love. Stay safe.
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EdLee
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Post by EdLee »

Hi Bill :)
Hmm...
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X . . . 1 . . O X .
$$ . X O O . . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X 3 5 6 1 4 . O X .
$$ . X O O 2 . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
Maybe this is better because of 1 ko threat ? :study:
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X . 1 . . . . O X .
$$ . X O O . . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X 3 1 4 . . . O X .
$$ . X O O 2 . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
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Bill Spight
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Re: This 'n' that

Post by Bill Spight »

Hi, Ed. :)
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X 4 . 5 1 3 . O X .
$$ . X O O 2 . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
:b3: is normally better, even though it is gote.
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X . . 2 1 . . O X .
$$ . X O O . . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
So :w2: is normally better. :)

Keep trying. :)
The Adkins Principle:
At some point, doesn't thinking have to go on?
— Winona Adkins

Visualize whirled peas.

Everything with love. Stay safe.
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EdLee
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Post by EdLee »

Thanks, Bill. :)
Only so many usual suspects... :study:
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X . . . . . . O X .
$$ . X O O 1 . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
Click Here To Show Diagram Code
[go]$$B :b7: at :b1:
$$ ---------------------
$$ . X 5 3 2 . 6 . O X .
$$ . X O O 1 4 O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X X X O . O . O X .
$$ . X 9 8 0 O O O O X .
$$ . X . X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
Click Here To Show Diagram Code
[go]$$B reverts to above
$$ ---------------------
$$ . X 5 3 4 . . . O X .
$$ . X O O 1 2 O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
B nets +2 points in sente... :study:
Click Here To Show Diagram Code
[go]$$B seems seki; reverts to #464.1
$$ ---------------------
$$ . X . . . 3 1 . O X .
$$ . X O O 2 . O O O X .
$$ . X O X O O O . X . .
$$ . X X X X X X X . X .
$$ . . . . . . . . . . .[/go]
Still the same move...?
Click Here To Show Diagram Code
[go]$$B
$$ ---------------------
$$ . X . . . . . . O X .
$$ . X O O 1 . O O O X .
$$ . X X X O O O . X . .
$$ . . . . X X X X . X .
$$ . . . . . . . . . . .[/go]
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