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| logarithmic go http://www.lifein19x19.com/viewtopic.php?f=45&t=11434 |
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| Author: | phillip1882 [ Tue Feb 03, 2015 7:44 pm ] |
| Post subject: | 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? |
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| Author: | emeraldemon [ Tue Feb 03, 2015 8:15 pm ] |
| Post subject: | 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) |
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| Author: | DrStraw [ Wed Feb 04, 2015 4:29 am ] |
| Post subject: | Re: logarithmic go |
And the point is? |
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| Author: | phillip1882 [ Wed Feb 04, 2015 11:13 am ] |
| Post subject: | Re: logarithmic go |
dunno, just trying to think of a go variant that might be interesting. |
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| Author: | Matti [ Thu Feb 05, 2015 3:22 am ] |
| Post subject: | Re: logarithmic go |
If one plays inside own territory to split it into two would you add the logarithms of the sizes of the territories? |
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| Author: | DrStraw [ Thu Feb 05, 2015 7:23 am ] |
| Post subject: | Re: logarithmic go |
There is something intrinsically wrong with these numbers: |
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| Author: | HermanHiddema [ Thu Feb 05, 2015 7:34 am ] |
| Post subject: | Re: logarithmic go |
@DrStraw: The original post uses area, not territory, so each of your examples would score log(27). |
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| Author: | DrStraw [ Thu Feb 05, 2015 8:07 am ] |
| Post subject: | 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. |
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| Author: | skydyr [ Thu Feb 05, 2015 8:38 am ] |
| Post subject: | 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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| Author: | Matti [ Tue Feb 10, 2015 7:11 am ] |
| Post subject: | Re: logarithmic go |
Do you allow suicide? One might decide to suicide an own group to unite several opponents groups. |
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| Author: | uPWarrior [ Tue Feb 10, 2015 10:03 am ] |
| Post subject: | Re: logarithmic go |
Black's optimal move is to pass, as 2*log(20) > log(321). White can't win. |
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| Author: | cyclops [ Thu Jun 04, 2015 3:21 pm ] |
| Post subject: | Re: logarithmic go |
Simply multipling gives the same result but doesn't need a calculator. |
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| Author: | Pio2001 [ Fri Jun 05, 2015 11:15 am ] |
| Post subject: | Re: logarithmic go |
So it seems that the goal would be to get the most possible groups. But what do you call a "group" ? |
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