BGonline.org Forums

n odd

Posted By: Nack Ballard
Date: Monday, 17 May 2010, at 3:47 a.m.

In Response To: n odd (Bob Koca)

This appears to be a counterexample:

XXXX *
XXX * *
XXXX *
* XXX *
X * * * *

Player "A" just played his eighth move, and player "B" is considering his response. (From the bottom row up, dead squares are b1, c1, a2, e3, and e5, and live squares are currently d1, e1, e2, d4 and e4.)

B's only winning move is d4, so that whichever of e1 or e2 that A plays, B plays the other. If B plays anywhere other than d4, A plays d1 or e4, winning.

To simplify the example further, same diagram but with Xs on e1 and e2 as well. B wins only with d4.

If B has a forced win when n is odd, I'm guessing it is because B has some sort of parity iced from the outset (no X's played yet) and he must play carefully to maintain it.

Nack

Messages In This Thread

• Another puzzle
  Bob Koca -- Saturday, 15 May 2010, at 3:22 a.m.
  • Another puzzle
    Marv Porten -- Saturday, 15 May 2010, at 3:36 a.m.
    • Another puzzle
      Joe Russell -- Saturday, 15 May 2010, at 8:09 a.m.
      • Another puzzle
        Nack Ballard -- Saturday, 15 May 2010, at 9:11 a.m.
        • Another puzzle
          mtuhtan -- Saturday, 15 May 2010, at 9:25 a.m.
          • Another puzzle
            Nack Ballard -- Sunday, 16 May 2010, at 7:09 a.m.
            • Another puzzle
              mtuhtan -- Sunday, 16 May 2010, at 10:05 a.m.
  • Another puzzle -- Spoiler
    Nack Ballard -- Saturday, 15 May 2010, at 6:52 a.m.
  • Another puzzle/ next question
    Bob Koca -- Saturday, 15 May 2010, at 2:46 p.m.
    • Another puzzle/ next question
      Timothy Chow -- Saturday, 15 May 2010, at 3:28 p.m.
    • Another puzzle/ next question/ SPOILER I hope)_
      Bob Koca -- Sunday, 16 May 2010, at 2:03 a.m.
      • Another puzzle/ next question/ SPOILER I hope)_
        Bob Koca -- Sunday, 16 May 2010, at 3:20 a.m.
        • Another puzzle/ next question/ SPOILER I hope)_
          Timothy Chow -- Sunday, 16 May 2010, at 4:14 a.m.
          • Another puzzle/ next question/ SPOILER I hope)_
            Bob Koca -- Sunday, 16 May 2010, at 1:30 p.m.
      • Another puzzle/ next question/ SPOILER I hope)_
        Nack Ballard -- Sunday, 16 May 2010, at 6:55 a.m.
        • Another puzzle/ next question/ SPOILER I hope)_
          Bob Koca -- Sunday, 16 May 2010, at 1:33 p.m.
          • If n is even ...
            Bob Koca -- Sunday, 16 May 2010, at 2:14 p.m.
            • If n is even ...
              Nack Ballard -- Sunday, 16 May 2010, at 2:56 p.m.
              • If n is even ...
                Bob Koca -- Sunday, 16 May 2010, at 4:04 p.m.
                • If n is even ...
                  Nack Ballard -- Sunday, 16 May 2010, at 5:15 p.m.
                  • If n is even ...
                    bob Koca -- Sunday, 16 May 2010, at 5:21 p.m.
                    • If n is even ...
                      Nack Ballard -- Monday, 17 May 2010, at 4:21 a.m.
            • If n is even ...
              Timothy Chow -- Sunday, 16 May 2010, at 5:35 p.m.
          • n odd
            Bob Koca -- Sunday, 16 May 2010, at 5:33 p.m.
            • n odd
              Nack Ballard -- Monday, 17 May 2010, at 3:47 a.m.
              • n odd
                Bob Koca -- Monday, 17 May 2010, at 10:28 a.m.
                • n odd
                  Nack Ballard -- Monday, 17 May 2010, at 6:46 p.m.
  • Related game: Treblecross
    Timothy Chow -- Monday, 17 May 2010, at 2:33 a.m.