Capture three to make an eye
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Capturing three stones suffices to make an eye
An example at the edge of the board.
...even when Black throws in with , White can make a second eye with
.
This works away from the edge, too.
Exceptions
However, this proverb has exceptions too.
... kills. Since a and b are miai, White dies.
Here is another counter-example. Such an counter-example can also be found away from the side.
Heuristic
A possible heuristic to see whether the "capture three to make an eye" proverb applies is to look at the position immediately after capturing. In each of the four cases below, we see whether we can form an Black eye at either the a points. If White can occupy all the b points after Black's capture, then Black has no eye here.
A related page is capture two recapture one.
See also the pages in the Eyes Collection.
See also: