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Smallest Group with Two Eyes
Path: LifeAndDeath · Prev: KillingShapes · Next: BasicLivingEyeShapes
Keywords: Life & Death
This is a list of the smallest groups with two eyes. They do not need a single further stone to defend them, no matter how many stones may be played to attack them.[1][2] For others see Basic Living Eye Shapes. See also Unconditional Life. In the cornerIn the corner, six stones are the minimum needed to complete a group with two eyes.
On the sideOn the side, the smallest groups with two eyes have eight stones.
In the centerIn the center, 10 stones are required to make a group with two eyes.
All 16Here's a board containing all of the above groups:
Off TopicBelow are some small live groups that must be defended against attack to stay alive. Robert Pauli: Parked'em here. To be deleted in, say, 2005.
6 stones, 6 different eye shapes, 7 different stone shapes
8 Stones but 4 different eye spaces.
Ellbur: I don't think that groups which can be threatened to add a stone or stones should be included in Smallest Group With Two Eyes, as this could be extended to include a one stone living group: one lone stone on the 3-3 point. Authors
[1] Currently all entries are for a "big" rectangular board. Taking a smaller one cuts the number of stones needed. The minimum is one stone in the center of a 3x1. [2] Robert Pauli: Hmm, thought I made it clear (BTW, thanks for watching me, Bill ;--), but what about
Does the black group have "two eyes" ? :--)) Dieter: One thing is sure: White is in atari.
RP: Right :-)
Should we restrict eyes to be minimal at the top ? Bill: That's an interesting rules question, Robert. ;-) By J89 and my rules, no. How about by yours? Robert Pauli: No "control" for Black if White can make seki or two eyes after Black's capture: Black should capture before end! But the question remains, "minimal eyes" ? RobAnybody: 4 stones with two eyes, a and b :)
Another living group in the corner... Made with 5 stones... - But can be forced to add another one if b plays at a...
Path: LifeAndDeath · Prev: KillingShapes · Next: BasicLivingEyeShapes This is a copy of the living page "Smallest Group with Two Eyes" at Sensei's Library. ![]() |