Arts and Sciences
Our goal for this project was to expand and improve upon the findings of George I. Bell and Nicholas Fonseca, who have both written papers on optimization in Chinese Checkers. While their work focuses mainly on cooperative games between one, two, and three players, we have considered games for six players. While doing this, we have redefined the playing board in a more intuitive manner, while developing and proving its associated distance formula. As well, we have found the shortest game for six players, and are working to generalize a formula for the number of moves required to finish a six player game as fast as possible. This could further incite research to generalize a lower bound for any number of players.
Burkholder, Eric; Fragoso, Gabe; and Shomer, Thomas, "The Mathematics of Chinese Checkers" (2020). Symposium on Undergraduate Research and Creative Expression (SOURCE). 874.