In a casual chat at a gaming event back in 2012, a board game designer challenged mathematician Eric Harshbarger to create a set of dice that would determine the first player without any chance of a tie. The objective was to expedite the game’s start and minimize delays.
Harshbarger, a mathematician and senior lecturer at Auburn University, was intrigued by the problem’s complexity. After years of collaboration with computer scientists and mathematicians worldwide, they devised a solution involving a unique set of four 12-sided dice that ensured a fair outcome for up to four players.
However, designing dice for five players proved to be a formidable challenge. Despite knowing the mathematical feasibility, the team struggled to translate the solution into physical dice that could be practically manufactured and used.
After various theories and iterations, a breakthrough emerged when an Australian researcher proposed a set of five 120-sided dice. This discovery gained attention, attracting the involvement of a Canadian software engineer, Paul Meyer. Meyer devised a solution using five 60-sided dice, a breakthrough that excited Harshbarger after years of searching.
The project continues to evolve, exploring the potential for fewer sides in a five-player set and the expansion to accommodate six players. While some skeptics question the dice’s practical application, Harshbarger affirms the mathematical integrity of the design, emphasizing any discrepancies would stem from production rather than the underlying mathematics.
Meyer’s computational approach and mathematical insights have propelled the research forward, prompting ongoing exploration and the possibility of new theories emerging. Harshbarger acknowledges the allure of unresolved questions in mathematics, underscoring the persistence and fascination that drive mathematicians to pursue seemingly trivial yet captivating challenges for years on end.