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Four is Five and Five is Eight and Six is Twelve
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  Difficulty: Advanced   Keywords: Proverb, Tactics

4=5, 5=8, 6=12

This Go proverb counts the extra liberties an encircled group gets due to its internal dead eye space (see also nakade liberties). Big eyes have more eye liberties than the number of empty points in the eye. The following diagrams explain. Beware however, big eyes can be small in the corner.

[Diagram]
Diag.: 4=5

[Diagram]
Diag.: 4=5 continued

An internal eye of four points is worth five liberties in a semeai.

It may look like White cannot win since Black has five outside liberties, but the four-point big eye gives White five liberties as well. So if White has sente...


[Diagram]
Diag.: 4=5 continued again

Black is captured.



[Diagram]
Diag.: 5=8

An internal eye of five points is worth eight liberties in a semeai. However, in a five-point big eye which is dead, Black has already got a stone in it, so this reduces the actual liberties to 7.


[Diagram]
Diag.: 5=8 continued

It may look as if White cannot win since Black has seven outside liberties, but the five-point big eye gives White seven liberties as well. So if White has sente...


[Diagram]
Diag.: 5=8 continued again

[Diagram]
Diag.: 5=8 yet more

And Black is captured.



[Diagram]
Diag.: 6=12

An internal eye of six points is worth twelve liberties in a semeai. However, in a six-point big eye which is dead, black has already got a stone in it, so this reduces the actual liberties to 11.


[Diagram]
Diag.: 6=12 continued

It may look like White cannot win since Black has 11 outside liberties, but the six-point big eye gives White 11 liberties as well. So if White has sente...


[Diagram]
Diag.: 6=12 continued again

[Diagram]
Diag.: 6=12 (diagram 4)

[Diagram]
Diag.: 6=12 (diagram 5)

And Black is captured.



This page is part of the Eyes Collection.

Authors: Morten Pahle, Dieter



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This is a copy of the living page "Four is Five and Five is Eight and Six is Twelve" at Sensei's Library.
(C) the Authors, published under the OpenContent License V1.0.