Mathematical aspect of the combinatorial game "Mahjong"
Yuan Cheng, Chi-Kwong Li, Sharon H. Li
TL;DR
This paper applies combinatorial theory and Python programming to analyze Mahjong, confirming folklore, revealing unexpected results, and suggesting future AI research directions.
Contribution
It introduces a novel approach combining combinatorial analysis and programming to study Mahjong, providing new insights and confirming existing beliefs.
Findings
Confirmed folklore about Mahjong
Discovered unexpected combinatorial results
Suggested future AI research applications
Abstract
We illustrate how one can use basic combinatorial theory and computer programming technique (Python) to analyze the combinatorial game: Mahjong. The results confirm some folklore concerning the game, and expose some unexpected results. Related results and possible future research in connection to artificial intelligence are mentioned. Readers interested in the subject may further develop the techniques to deepen the study of the game, or study other combinatorial games.
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Taxonomy
TopicsArtificial Intelligence in Games · Digital Games and Media · Educational Games and Gamification