```Date: Mar 19, 2004 5:23 PM
Author: Tim Brauch
Subject: Re: Hex Win Proof?

j_welton@hotmail.com (Jonathan Welton) wrote innews://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 WeltonI 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. BrauchGraduate StudentDepartment of MathematicsWake Forest Universityemail is:news (dot) post (at) tbrauch (dot) com
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