logarithmic go
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phillip1882
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logarithmic go
for each area, take the logarithm and add.
exe:
black top left: log(11)
black side: log(99)
black top right corner: log(64)
black bottom right corner: log(36)
black total score = 6.399
white top left: log(3)
white mid top and right side: log(106)
white bottom side: log(58)
white komi: log(6.5)
white total score = 5.079
black wins.
thoughts?
exe:
black top left: log(11)
black side: log(99)
black top right corner: log(64)
black bottom right corner: log(36)
black total score = 6.399
white top left: log(3)
white mid top and right side: log(106)
white bottom side: log(58)
white komi: log(6.5)
white total score = 5.079
black wins.
thoughts?
- emeraldemon
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Re: logarithmic go
Well it would be to each players' advantage to create as many small living groups as possible. In the example above each player could probably do better by splitting those big spaces up rather than connecting, for example white's bottom territory:
now white has log(26) + log(28) = 6.59, compared with log(58) = 4.06 , so giving those four points up was a pretty big gain. There would be a huge incentive not to connect any stones unless absolutely necessary. (note also that the move to live doesn't cost anything in area territory)
now white has log(26) + log(28) = 6.59, compared with log(58) = 4.06 , so giving those four points up was a pretty big gain. There would be a huge incentive not to connect any stones unless absolutely necessary. (note also that the move to live doesn't cost anything in area territory)
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DrStraw
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Re: logarithmic go
And the point is?
Still officially AGA 5d but I play so irregularly these days that I am probably only 3d or 4d over the board (but hopefully still 5d in terms of knowledge, theory and the ability to contribute).
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phillip1882
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DrStraw
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Re: logarithmic go
There is something intrinsically wrong with these numbers:
Still officially AGA 5d but I play so irregularly these days that I am probably only 3d or 4d over the board (but hopefully still 5d in terms of knowledge, theory and the ability to contribute).
- HermanHiddema
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Re: logarithmic go
@DrStraw: The original post uses area, not territory, so each of your examples would score log(27).
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DrStraw
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Re: logarithmic go
HermanHiddema wrote:@DrStraw: The original post uses area, not territory, so each of your examples would score log(27).
Oh! I guess that just makes it even more confusing. I am just not used to thinking in area terms.
Still officially AGA 5d but I play so irregularly these days that I am probably only 3d or 4d over the board (but hopefully still 5d in terms of knowledge, theory and the ability to contribute).
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skydyr
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Re: logarithmic go
I imagine that for most players, first they would play a game, and then they would be surprised at the result.
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uPWarrior
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Re: logarithmic go
Simply multipling gives the same result but doesn't need a calculator.
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