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Topic: Connect Four and linear algebra/vector calculus
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Frank Stalone

Posts: 1
From: Villanova University
Registered: 9/2/07
Connect Four and linear algebra/vector calculus
Posted: Sep 2, 2007 11:51 AM
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Hi, I'm an expert on the boardgame Connect Four. The game is already solved, and can be played perfectly without the use of math. But I wonder if there's a way to approach the game mathematically, say by using matrices or vectors, or some type of geometry. I will work on this but I figured I might as well present the challenge to other mathematicians also. My guess is the search will lead nowhere, but considering the game board itself is a matrix and the game is about making line segments, there might be a way.

I'm in the process of writing a book on connect four, so any discoveries in this thread would be helpful and I will acknowledge you in the book.

One can start the problem by noting that the Connect Four board is a 6x7 matrix. Treat each move as a pair of matrix coordinates. I don't know what the values should be, maybe 0=blank space, then i don't know what to do for Red piece and Black piece.

Any help would be greatly appreciated.



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