Publication Date


Advisor(s) - Committee Chair

Robert Crawford, Carroll Wells

Degree Program

Department of Mathematics

Degree Type

Master of Science


John Horton Conway's combinatorial game theory was applied to a new partizan game with a complete analysis as the result. Mathematical values were assigned to the countably infinite number of positions in the game. Direct computation of the first eight values and extension via the Principle of Mathematical Induction made the assignments possible.

Examination of these values (which repeat with period 2) shows that the game, played on a strip of squares, can be won by the first player if the strip is of odd length and can be won by the second player if the strip is of even length. Further examination of the values leads to a completely general symmetry strategy for the first and second player wins in the appropriate cases.


Mathematics | Physical Sciences and Mathematics

Included in

Mathematics Commons