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IfYouDonTLikeKoDo...
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Komaster
Path: CGTPath   · Prev: PlayingInfinitesimals   · Next: Koloser
    Keywords: Ko, Theory

Professor Elwyn Berlekamp coined the term, komaster, for the person who can win a ko (or superko) fight without having to ignore a ko threat. The opponent is the koloser. It is possible, of course, that a ko has neither komaster nor koloser.

(The above is an informal explanation. For Berlekamp's original treatment, see [ext] http://www.msri.org/publications/books/Book29/files/ber.pdf.)

For certain kos, such as approach kos and ten thousand year kos, the count depends on who is komaster. Such kos, and similar ko positions, are called hyperactive. In some ko positions, who is komaster does not affect the count, but does affect the miai value; Bill Spight coined the term active for such positions. Other ko positions are called ''placid''.


Example of how who is komaster affects the count of an approach ko:

[Diagram]
Black komaster

B2 elsewhere. B4 - W5 = ko threat and response. B6 takes the ko. W7 elsewhere.

If Black is komaster, White has nothing better than to make the approach move and convert this to a regular ko. Assuming that a is White's territory, the local score is 14. Since this is, in effect, White's sente, that is the count of the original position.


[Diagram]
White komaster

B2 elsewhere. B4 takes ko. W5 - B6 = ko threat and reply. W7 takes the ko. B8, B10 elsewhere.

If White is komaster she can win the ko in three net plays, for a local score of -12. Black can win the ko in 1 play at a, for a local score of 15. (Black 3 will be Black sente later. four plays make a difference of 27 points, so the miai value of the ko is 6 3/4, and this position has a count of 8 1/4. Who is komaster makes a difference of 5 3/4 points.



Note that the komaster won the ko after using only one ko threat. That threat was enough to make her komaster. If a komaster can gain from using additional ko threats to delay winning the ko, she is ko monster.

--BillSpight

For more, see Komaster Discussion.



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This is a copy of the living page "Komaster" at Sensei's Library.
(OC) 2004 the Authors, published under the OpenContent License V1.0.