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Topic: Hex Win Proof?
Replies: 41   Last Post: Mar 24, 2004 6:39 PM

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Tim Brauch

Posts: 201
Registered: 12/6/04
Re: Hex Win Proof?
Posted: Mar 19, 2004 5:23 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply


j_welton@hotmail.com (Jonathan Welton) wrote in
news://3dfcbf81.0403191414.33bb386a@posting.google.com:

> Neither of the proofs (which are basically the same) posted so far is
> correct. Both would apparently conclude that a winning path would be
> formed on a squared board, whereas this is not the case - a squared
> board could end in a draw.
>
> An actual proof must use the hex nature of the board or,
> alternatively, that 3 cells meet at each vertex. A proof is given in
> Cameron Browne's book Hex Strategy, but whether it would convince an
> intelligent layman is not clear.
>
> Maybe a simpler proof could be achieved by induction?
>
> Jonathan Welton


I wasn't assuming a square board, I was imagining the board set up like
a parallelogram. At least, that is how I orientate the board when I
play. Then red goes top to bottom and blue goes left to right (red and
blue because the board I made uses poker chips).

What would be more interesting is trying to explain to a lay person that
whoever goes first should win, unless they screw it up. That is why
whenever I play, I always go second. If I lose, it was destined.

- Tim

--
Timothy M. Brauch
Graduate Student
Department of Mathematics
Wake Forest University

email is:
news (dot) post (at) tbrauch (dot) com



Date Subject Author
3/18/04
Read Hex Win Proof?
Bill Taylor
3/18/04
Read Re: Hex Win Proof?
Tim Brauch
3/19/04
Read Re: Hex Win Proof?
Brian Chandler
3/19/04
Read Re: Hex Win Proof?
Jonathan Welton
3/19/04
Read Re: Hex Win Proof?
Tim Brauch
3/19/04
Read Re: Hex Win Proof?
Richard Henry
3/20/04
Read Re: Hex Win Proof?
Glenn C. Rhoads
3/20/04
Read Re: Hex Win Proof?
Chan-Ho Suh
3/21/04
Read Re: Hex Win Proof?
Arthur J. O'Dwyer
3/19/04
Read Re: Hex Win Proof?
Bob Harris
3/19/04
Read Re: Hex Win Proof?
Tim Smith
3/19/04
Read Re: Hex Win Proof?
Dvd Avins
3/20/04
Read Re: Hex Win Proof?
Nate Smith
3/20/04
Read Re: Hex Win Proof?
Chan-Ho Suh
3/20/04
Read Re: Hex Win Proof?
G. A. Edgar
3/19/04
Read Re: Hex Win Proof?
Richard Henry
3/19/04
Read Re: Hex Win Proof?
Steven Meyers
3/20/04
Read Re: Hex Win Proof?
Nate Smith
3/20/04
Read Re: Hex Win Proof?
Larry Hammick
3/20/04
Read Re: Hex Win Proof?
Tim Smith
3/20/04
Read Re: Hex Win Proof?
Glenn C. Rhoads
3/20/04
Read Re: Hex Win Proof?
Glenn C. Rhoads
3/21/04
Read Re: Hex Win Proof?
Steven Meyers
3/22/04
Read Re: Hex Win Proof?
Glenn C. Rhoads
3/22/04
Read Re: Hex Win Proof?
Torben Mogensen
3/22/04
Read Re: Hex Win Proof?
Chan-Ho Suh
3/22/04
Read Re: Hex Win Proof?
Torben Mogensen
3/22/04
Read Re: Hex Win Proof?
Chan-Ho Suh
3/23/04
Read Re: Hex Win Proof?
Torben Mogensen
3/23/04
Read Re: Hex Win Proof?
Robin Chapman
3/23/04
Read Re: Hex Win Proof?
Chan-Ho Suh
3/24/04
Read Re: Hex Win Proof?
Robin Chapman
3/24/04
Read Re: Hex Win Proof?
Tim Smith
3/24/04
Read Re: Hex Win Proof?
Robin Chapman
3/24/04
Read Re: Hex Win Proof?
Tim Smith
3/24/04
Read Re: Hex Win Proof?
Jon Haugsand
3/22/04
Read Re: Hex Win Proof?
Andrzej Kolowski
3/23/04
Read Re: Hex Win Proof?
Alexander Malkis
3/23/04
Read Re: Hex Win Proof?
Chan-Ho Suh
3/23/04
Read Re: Hex Win Proof?
Dr. Eric Wingler
3/24/04
Read Re: Hex Win Proof?
Danny Purvis
3/24/04
Read Re: Hex Win Proof?
Danny Purvis

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