Chilled domineering

Kuo Yuan Kao*, I-Chen Wu, Yi Chang Shan, Hung Hsuan Lin

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

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 3x3 squares and presents a rule to determine the outcome of any sum of these positions.

Original languageEnglish
Title of host publicationProceedings - International Conference on Technologies and Applications of Artificial Intelligence, TAAI 2010
Pages427-432
Number of pages6
DOIs
StatePublished - 1 Dec 2010
Event2010 15th Conference on Technologies and Applications of Artificial Intelligence, TAAI 2010 - Hsinchu, Taiwan
Duration: 18 Nov 201020 Nov 2010

Publication series

NameProceedings - International Conference on Technologies and Applications of Artificial Intelligence, TAAI 2010

Conference

Conference2010 15th Conference on Technologies and Applications of Artificial Intelligence, TAAI 2010
CountryTaiwan
CityHsinchu
Period18/11/1020/11/10

Keywords

  • Combinatorial games
  • Domineering
  • Infinitesimals

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