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Nakade Liberties
This page discusses the number of liberties the different big eyes have, which is slightly different from the usual meaning in the liberties page. Here, it refers to the number of moves required to remove the group containing the big eye off the board. Two Space Big Eye
Not much discussion here, but I'll use it as the base. Each case builds on from the previous case. Anyway, a two space big eye has 2 liberties. Three Space Big Eye
Three space big eye has 3 liberties. We count 1 move at the marked stone. Then white plays at a, and black replies at b, ... SIDE NOTE: If black fails to reply in this case, the strategic result is the same as if she had. But under Chinese scoring, white has one more point at the end of the game. Under Japanese scoring the points are the same too. --DerekGrant
We are back to two space big eye. Note that after the marked stone, black has 2 liberties (the same as the two space big eye as white a is answered by b, so that liberty doesn't count). Thus a three space big eye has 1 + 2 = 3 liberties. Four Space Big Eye
Using the same theory, we do the same counting for the four space big eye. First we count 2 liberties at the marked stones, now black has 3 liberties left, because after white ataris at a, and black answers at b, we get...
... a three space big eye. So a four space big eye has 2 + 3 = 5 liberties. That's 3 liberties for the "three space big eye" and 2 more liberties for the additional step above. Five Space Big Eye
The same theory goes, counting 3 marked stones, and after the exchange of white a and black b, we have...
... a four space big eye with 5 liberties. Summing up, a five space big eye has 3 + 5 = 8 liberties. By the way, this shape is also known as the bulky five. That's 5 liberties for the "four space big eye" and 3 more liberties for the additional step above.... You get the idea. Six Space Big Eye
The last case, a six space big eye...
... will get reduced into a five space big eye. It has is 4 + 8 = 12 liberties. See also: Four is Five and Five is Eight and Six is Twelve Contributors: This is a copy of the living page "Nakade Liberties" at Sensei's Library. (C) the Authors, published under the OpenContent License V1.0. |