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 Post subject: Smallest Groups With Two Eyes
Post #1 Posted: Fri Apr 22, 2016 2:22 pm 
Oza
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I thought it might be useful to have these here …

Image (warning: it’s HUGE!):
Attachment:
Smallest-Groups-With-Two-Eyes.png
Smallest-Groups-With-Two-Eyes.png [ 1.16 MiB | Viewed 8904 times ]


Click Here To Show Diagram Code
[go]$$Bc
$$ ---------------------------------------
$$ | . X O . . . O X X . X O . . . O X X . |
$$ | X X O . . . O X . X X O . . . O X . X |
$$ | . X O . . . O O X X O O . . . O O X X |
$$ | X X O , O O . . O O . . O O . , . O O |
$$ | O O . O X X O O . . . O X X O . . . . |
$$ | . . . O X . X O . . . O X . X O . . . |
$$ | . . . O X X . X O . O X . X X O . O O |
$$ | O O . O O X X X O . O X X X O . O X X |
$$ | X X O . . O O O . . . O O O . . O X . |
$$ | . X O , . . . . . , . . . . . , O X X |
$$ | X . X O . . O O . . . . O O . . O X . |
$$ | X X X O O O X X O . . O X X O . O X X |
$$ | O O O O X X . X O . O X . X X O . O O |
$$ | . . . O X . X X O . O X X . X O . . . |
$$ | . . . O X X O O . . . O X X O O . . . |
$$ | O O O , O O . . O O O O O O . , O O O |
$$ | O X X O . . . . O X X X O . . . O X X |
$$ | X . X O . . . O X X . X O . . O X X . |
$$ | . X X O . . . O X . X O O . . O X . X |
$$ ---------------------------------------[/go]


From http://senseis.xmp.net/?SmallestGroupWithTwoEyes.

Image and ASCII code for the diagram created using KOCMOHABT’s Web Go Board browser plugin

If you have the plugin you can just click the “download SGF” link to open it in a new tab using this plugin.


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 Post subject: Re: Smallest Groups With Two Eyes
Post #2 Posted: Fri Apr 22, 2016 3:15 pm 
Oza
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(made a “better and bigger” image, added all due credits)

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 Post subject: Re: Smallest Groups With Two Eyes
Post #3 Posted: Fri Apr 22, 2016 10:08 pm 
Lives with ko

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Such an overview is very useful for a beginner like me, thx.

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Post #4 Posted: Sat Apr 23, 2016 1:04 am 
Honinbo
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Sneegurd wrote:
Such an overview is very useful for a beginner like me, thx.
Hi Tom,

Probably just a lucky coincidence and not done on purpose:
seems to be a 'bonus' lesson/hidden message:
if you spend most or all your effort making all tiny groups,
your opponent will likely win. :)


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 Post subject: Re: Smallest Groups With Two Eyes
Post #5 Posted: Sat Apr 23, 2016 3:37 am 
Gosei
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Actually I was the one who made that years ago and first posted on GoDiscussions forum. Previous to my edition SL had a version that had most of the shapes but not all :)

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 Post subject: Re: Smallest Groups With Two Eyes
Post #6 Posted: Sat Apr 23, 2016 9:04 am 
Oza
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EdLee wrote:
Probably just a lucky coincidence and not done on purpose:
seems to be a 'bonus' lesson/hidden message:
if you spend most or all your effort making all tiny groups,
your opponent will likely win. :)
Heh, yes :-D I think this is NOT meant to be a suggestion for the “architecture” of one’s game but rather as a typology of minimal survival.

While sometimes, in a tight game situation, a player may utter a sigh of relief when they manage to finish one of these shapes just in time, there perhaps are … “genes” (or vitamins? Proteins? Or are they more like fertilizer? Or perhaps the seeds we sow?) for these “minimal survival”, i.e. shapes we often play:

• Nobi (Stretch)
• Kosumi (Diagonal Move)
• Ikken Tobi (One Space Jump)
• Nikken Tobi (Two Space Jump)
• Keima (Knight’s Move)
• Ogeima (Large Knight’s Move), etc.,

and then the more complex shapes resulting from them, like …

• Table Shape, etc.

Just throw a few of these onto the board, and we have a puddle of Primordial Soup in which Life may spring into existence :-D

tchan001 wrote:
Actually I was the one who made that years ago and first posted on GoDiscussions forum. Previous to my edition SL had a version that had most of the shapes but not all :)
Wow, very cool, thank you, tchan001 _/\_ (if I had known, I’d have credited you too in the image before sharing it wide and far …)


<edit>

Another thought just comes to my mind … I mentioned the “primordial soup”, and now I have an image on my “inner screen” … like:

  • some pairs or groups of stones are “solid” (solidly connected, e.g. Nobi), not dividable,
  • others are “liquid” or perhaps “fluid” in that they can be definitely connected if one plays the right move (like Kosumi),
  • while the last category could be called “gaseous”, in that they can definitely be divided (Keima, Ogeima, given appropriate circumstances)

Sadly I know too little about Chemistry and Physics but maybe some interesting analogies could be found there? (Or am I just having a manic episode again? :lol: )

</edit>



<edit>
sry, found myself in an editing muddle
</edit>

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 Post subject: Re: Smallest Groups With Two Eyes
Post #7 Posted: Sat Apr 23, 2016 11:38 am 
Dies in gote

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It might be interesting to show minimal seki "shapes" as well.

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 Post subject: Re: Smallest Groups With Two Eyes
Post #8 Posted: Sat Apr 23, 2016 12:41 pm 
Honinbo

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Note that different groups have different numbers of stones. :)

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 Post subject: Re: Smallest Groups With Two Eyes
Post #9 Posted: Sat Apr 23, 2016 3:25 pm 
Oza
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Bill Spight wrote:
Note that different groups have different numbers of stones. :)

6 … 8 … 10

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