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Tengen Square Go Puzzle
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Author:  Kirby [ Wed Apr 25, 2018 12:20 pm ]
Post subject:  Tengen Square Go Puzzle
Stolen from Starstorm3's KGS profile info:

Quote:
Go Puzzle: "The Tengen Square" If you play an 8-stone handicap game as White with Chinese rules (i.e. black can place his handicap stones wherever he likes), and your opponent places them all around tengen in a square, then he plays mirror go with you the entire game, is it possible for you to win?


Click Here To Show Diagram Code
[go]$$cm1
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$$ -----------------------------------------[/go]


Have fun.
Author:  EdLee [ Wed Apr 25, 2018 2:27 pm ]
Post subject: 
Let's see... :)


Simply brute-force doesn't seem to work as :black: wins the libs race
( :white: always pushing from behind ):
Author:  sorin [ Wed Apr 25, 2018 2:48 pm ]
Post subject:  Re:
EdLee wrote:
Mirror instantly broken with a variety of moves (example),
after which it's :white:'s level vs. :black:'s.
Click Here To Show Diagram Code
[go]$$W
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$$ | . . . . . . . . X X X . . . . . . . . |
$$ | . . . , . . . . X , X . . . . , . . . |
$$ | . . . . . . . . X X X . . . . . . . . |
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Click Here To Show Diagram Code
[go]$$W
$$ -----------------------------------------
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$$ | . . . . . . . . 4 2 . . . . . . . . . |
$$ | . . . . . . . 6 X X X 9 . . . . . . . |
$$ | . . . , . . . 8 X , X 7 . . . , . . . |
$$ | . . . . . . . 0 X X X 5 . . . . . . . |
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$$ -----------------------------------------[/go]
Click Here To Show Diagram Code
[go]$$Wm11
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$$ | . . . . . . . 9 7 5 . . . . . . . . . |
$$ | . . . . . . . 4 X X 1 . . . . . . . . |
$$ | . . . . . . . X X X X O . . . . . . . |
$$ | . . . , . . . X X , X O . . . , . . . |
$$ | . . . . . . . X X X X O . . . . . . . |
$$ | . . . . . . . . 2 O O 3 . . . . . . . |
$$ | . . . . . . . . . 6 8 0 . . . . . . . |
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$$ -----------------------------------------[/go]


Hm, not sure what you mean by this example - black can continue to mirror white even after the last diagram you show here...
Author:  tundra [ Wed Apr 25, 2018 6:32 pm ]
Post subject:  Re: Tengen Square Go Puzzle
For a similar situation, see this discussion at Senseis Library:

https://senseis.xmp.net/?CounteringMirr ... Discussion

...which shows (I believe) that White can break Black's mirror go strategy. (On the other hand, the moves shown are so odd (or perhaps even bad), that I doubt many players would wish to play them.)
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