DisCoMath Seminar: An Impartial Combinatorial Game on a 3×3 Board with Magic Square Constraints
Discrete & Computational Math Seminar (DisCoMath)
An Impartial Combinatorial Game on a 3×3 Board with Magic Square Constraints
Dr. Matthew Coppenbarger
Associate Professor
School of Mathematical Sciences, RIT
Abstract:
Two players, Alice and Bob (with Alice moving first), alternate on choosing an integer from 0 to n (inclusive) and entering the number into an empty space on an initially empty 3×3 array with repetition allowed but subject to the constraints given in a magic square. Even though each games ends in at most nine moves, determining the player with the winning strategy is a surprisingly challenging and elusive problem. A complete solution is presented.
Intended Audience:
Undergraduates, graduates, and experts. Those with interest in the topic.
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