Eternal ko

  Difficulty: Advanced   Keywords: Ko, Rules
Rin Kaiho vs. Komatsu Hideki  

Warp: In game two of the 49th Honinbo league between Rin Kaiho (Black) and Komatsu Hideki, played on 1993-09-02, a very curious eternal life variant involving a ko happened, which resulted in the game being voided. I think it was called an "eternal ko". The position leading to this happened in the lower left corner (it's Black's turn, after exchanging black+circle for white+circle).

Eternal ko  

Black captures the ko with B1. White doesn't have any ko-threat elsewhere other than at W2, which naturally forces Black to capture at B3.

Eternal ko  

Now, after White captures the ko with W4, Black doesn't have any other ko-threat besides B5, which forces White to capture at W6. After this black captures the ko again and the position repeats.

Instead of W6 White could capture the marked black stone, but that would result in a ko which White cannot possibly win (when Black captures the marked white stone), so it would not help White to do that.

The game was declared void . . .

Robert Pauli: . . . but the game point nevertheless was split.

Bill: Why do you think that, Robert? In a book by Lin the game ends with Chosei mushobu (Long life: no result).

Robert Pauli: Because GoBase as well as DGoZ 10/93 tell me. The latter calls it a special league rule, but let's rely on the former, quote:

           C[Game ruled no result due to eternal \ ko,
             and each player awarded 1/2 point.
             Time used: \ W 4h 59m \ B 4h 59m ]

Bill: Thanks, Robert. There would have to be a special rule. ;-)

White just took ko (marked, 326)  

Couldn't Rin have filled 'a' (instead 'e') to settle the corner (. . . 'b', 'c', pass, and 'e')? No, he would have lost by half a point! (Many thanks to Nando for correcting my false beliefe due to a flawed diagram in DGoZ 10/93.)

Above, each side has 143 stones on the board, so each side has made the same amount of captives. Black counts 50 points (pretending the white stones in the lower left being dead), White 42 (ignoring his false eye), but since Black has to add three stones ('a', 'c', and 'e') and give 5.5 points komi, that's not enough.

You can find a game record at [ext] GoBase, where you even can replay it.

By the way, it's no coincidence that all ko threats were gone. To avoid losing by 0.5 points, Rin had to play hane in the upper left corner, leading to a game-deciding minimal ko there. After 22 flips (254 - 317) Komatsu played his second to last ko threat, in the lower left corner (1-1). Rin ignored it, filled the upper left ko, and . . . you know the rest of the story - unbelievable.

Harleqin: As always, it is interesting to see what would happen, were superko in effect. The following (external) threats would be needed, in that order:

  • White before W6 (in this game, it would mean that Rin wins)
  • Black before B5 (in the next cycle, of course)
  • White before W4
  • Black before B3
  • White before W2
  • Black before B1
  • White before W6
  • etc.

See also

Eternal ko last edited by PJTraill on February 17, 2022 - 23:40
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