The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » Math Topics » alt.math.recreational

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Connect Four and linear algebra/vector calculus
Replies: 0  

Advanced Search

Back to Topic List Back to Topic List  
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
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.