In a casual chat during a gaming convention in 2012, a board game creator challenged mathematician Eric Harshbarger to devise unique dice that could definitively determine the starting player without the chance of a tie. The aim was to expedite the game’s commencement. Harshbarger, a senior lecturer and mathematician at Auburn University, found the puzzle intriguing and embarked on finding a solution.
After years of collaboration with computer scientists and mathematicians worldwide, Harshbarger and his team successfully created a set of dice known as the Go First Dice for five players. These innovative dice ensure a fair selection process for the starting player with a guaranteed winner from a single roll.
While the concept seemed straightforward in theory, the practical implementation of the dice posed a significant challenge. The team initially designed a set of four 12-sided dice, which provided fair outcomes for two, three, or four players. However, devising a solution for five players proved to be a more complex task.
Through persistent efforts and collaboration, the team developed a set of five 120-sided dice, spearheaded by a breakthrough from a Canadian software engineer, Paul Meyer. Meyer’s computational approach and mathematical insights led to the successful creation of the dice, offering a practical solution to the longstanding problem.
Despite some skepticism regarding the dice’s real-world performance, Harshbarger affirms the mathematical integrity of the design. The ongoing research aims to explore the possibility of using fewer sides for a five-player set and potentially expanding the concept to accommodate six players.
The team’s dedication to solving this challenging problem exemplifies the allure of mathematical puzzles, showcasing the enduring curiosity and persistence of mathematicians like Harshbarger in unraveling complex conundrums.