EdLee wrote:Hi skydyr,
Thanks.
Follow-up trivia question: in this case (of the 2HeadedDragon),
is "false eye" then a misnomer ?
I understand the status is more important that the label,
but in the SL case, W cannot kill B, therefore B is alive,
and so B's 2 "false eyes" are actually real eyes, aren't they ?
Same question for the original top diagram.
Black can't fill either eye that appears to be false, because each side will always have two.
Right, so we don't care how it
appears; we care about its status --
can B fill in either one ? If no to both, then they are real eyes -- aren't they ? (Worth 1 point each for W.)
Well, the reason I say 'appears' is because they're not actually false eyes, rather they are just oddly-formed real eyes. False eyes aren't false because they have two corners (or one one the edge) taken by the opponent. They're false because as all the outside liberties are filled, they leave a string of stones with only one liberty and need to be filled to connect. The corner thing is just a heuristic that makes them easy to spot, and is almost always correct.
To put your question another way, take the following example:
$$c False false eye
$$ ---------------------------------------
$$ | . X . X O . . . . . . . . O X . . X . |
$$ | . X . X O O O O O O O O O O X X X X X |
$$ | X X X X X X X X X X X X X X a X O O O |
$$ | O O O O O O O O O O O O O O X X O . . |
$$ | . . . . . . . . . . . . . O O O O . . |
- Click Here To Show Diagram Code
[go]$$c False false eye
$$ ---------------------------------------
$$ | . X . X O . . . . . . . . O X . . X . |
$$ | . X . X O O O O O O O O O O X X X X X |
$$ | X X X X X X X X X X X X X X a X O O O |
$$ | O O O O O O O O O O O O O O X X O . . |
$$ | . . . . . . . . . . . . . O O O O . . |[/go]
Is A a false eye? It looks like one, but I don't think anyone would be confused and think that it's not worth a point (territory counting). Even if you filled one of the eyes on each side, I don't think anyone would question it.
In a sense, the problem is thinking that a living group has to have two eyes. There is no rule that says that it must, and indeed, there is no definition of eyes that I can think of in any standard ruleset. The question is 'can the group be captured, or not?' Thinking of eyes is, again, a crutch or heuristic to help answer the question of whether a group is alive or not.
Regarding the value specifically, as I understand it rules that are territory based define groups as either alive, in seki, or dead. A string is assumed to be in seki if after all the dame are filled, it can't be captured AND it has liberties that are shared with the opponent's stones. In that case, any points the group surrounds are not counted, because the string is in seki. If all its liberties are shared with only stones of the same colour, then it is fully alive and any enclosed liberties are counted as points.