Chilled Domineering
Kuo-Yuan Kao, I‐Chen Wu, Yi-Chang Shan, Hung‐Hsuan Lin · 2010
This paper introduces a new game named Chilled Domineering, together with its mathematical analysis. Chilled Domineering is modified from the Domineering game by allowing a player placing a 1×1 domino while unable to place a 2×1 domino at a position. After modifying the rule, each position in the game becomes an infinitesimal. Many interesting infinitesimals are found in this new game. This paper calculates the game values of all sub-graphs of 3×3 squares and presents a rule to determine the outcome of any sum of these positions.