Jump to content
Main menu
Main menu
move to sidebar
hide
Navigation
Main page
Recent changes
Random page
Help about MediaWiki
Special pages
Niidae Wiki
Search
Search
Appearance
Create account
Log in
Personal tools
Create account
Log in
Pages for logged out editors
learn more
Contributions
Talk
Editing
Hex (board game)
(section)
Page
Discussion
English
Read
Edit
View history
Tools
Tools
move to sidebar
hide
Actions
Read
Edit
View history
General
What links here
Related changes
Page information
Appearance
move to sidebar
hide
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==Computed strategies for smaller boards== In 2002, Jing Yang, Simon Liao and Mirek Pawlak found an explicit winning strategy for the first player on Hex boards of size 7Γ7 using a decomposition method with a set of reusable local patterns.<ref>[http://zernike.uwinnipeg.ca/~s_liao/pdf/adcog21.pdf On a decomposition method for finding winning strategy in Hex game] {{webarchive|url=https://web.archive.org/web/20120402234617/http://zernike.uwinnipeg.ca/~s_liao/pdf/adcog21.pdf |date=2 April 2012 }}, Jing Yang, Simon Liao and Mirek Pawlak, 2002</ref> They extended the method to weakly solve the center pair of topologically congruent openings on 8Γ8 boards in 2002 and the center opening on 9Γ9 boards in 2003.<ref>Unpublished white papers, formerly @ www.ee.umanitoba.com/~jingyang/</ref> In 2009, Philip Henderson, Broderick Arneson and Ryan B. Hayward completed the analysis of the 8Γ8 board with a computer search, solving all the possible openings.<ref>[http://webdocs.cs.ualberta.ca/~hayward/papers/solve8.pdf Solving 8x8 Hex], {{webarchive |url=https://web.archive.org/web/20110716030553/http://webdocs.cs.ualberta.ca/~hayward/papers/solve8.pdf |date=16 July 2011 }}, P. Henderson, B. Arneson, and R. Hayward, Proc. IJCAI-09 505-510 (2009)</ref> In 2013, Jakub Pawlewicz and Ryan B. Hayward solved all openings for 9Γ9 boards, and one (the most-central) opening move on the 10Γ10 board.<ref>{{cite journal |url=http://webdocs.cs.ualberta.ca/~hayward/papers/pawlhayw.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://webdocs.cs.ualberta.ca/~hayward/papers/pawlhayw.pdf |archive-date=2022-10-09 |url-status=live |title=Scalable Parallel DFPN Search |last1=Pawlewicz |first1=Jakub |last2=Hayward |first2=Ryan |date=2013 |access-date=2014-05-21 |journal=Proc. Computers and Games}}</ref> Since Gardner first postulated in his column in Scientific American in 1957, albeit speciously, that any first play on the short diagonal is a winning play,<ref>Gardner, Martin, Scientific American, July, 1957, pgs 145-151</ref> for all solved game boards up to n=9, that has indeed been the case. In addition, for all boards except n=2 and n=4, there have been numerous additional winning first moves; the number of winning first moves generally is β₯ nΒ²/2.
Summary:
Please note that all contributions to Niidae Wiki may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here.
You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see
Encyclopedia:Copyrights
for details).
Do not submit copyrighted work without permission!
Cancel
Editing help
(opens in new window)
Search
Search
Editing
Hex (board game)
(section)
Add topic