Abstract / Synopsis
Ducci’s Four-Number Game is a classic mathematical puzzle appealing to a wide audience for its procedural simplicity, mathematical richness, and aesthetic values. This article first describes a few activities appropriate for school students and mathematics teachers to make sense of the intriguing behavior of the game. Then, using a mobile simulation, we delve into the lengths of the Four-Number Game and the corresponding probability distribution. The Ducci number game is playful, engaging, and full of mathematical surprises.
Bu, L. "Ducci’s Four-Number Game: Making Sense of a Classic Problem Using Mobile Simulation," Journal of Humanistic Mathematics, Volume 9 Issue 2 (July 2019), pages 281-300. DOI: 10.5642/jhummath.201902.19 . Available at: https://scholarship.claremont.edu/jhm/vol9/iss2/19