Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30169
The Game of Synchronized Triomineering and Synchronized Tridomineering

Authors: Alessandro Cincotti, Shigetaka Komori, Hiroyuki Iida


In synchronized games players make their moves simultaneously rather than alternately. Synchronized Triomineering and Synchronized Tridomineering are respectively the synchronized versions of Triomineering and Tridomineering, two variants of a classic two-player combinatorial game called Domineering. Experimental results for small m × n boards (with m + n ≤ 12 for Synchronized Triomineering and m + n ≤ 10 for Synchronized Tridomineering) and some theoretical results for general k×n boards (with k = 3, 4, 5 for Synchronized Triomineering and k = 3 for Synchronized Tridomineering) are presented. Future research is indicated.

Keywords: Combinatorial games, Synchronized games, Triomineering, Tridomineering.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 850


[1] S. A. Blanco, A. S. Fraenkel, "Triomineering, Tridomineering, and L-Tridomineering," Technical Report MCS04- 10, Department of Computer Science and Applied Mathematics, The Weizmann Institute of Science. Available: archive/00000367/
[2] A. Cincotti, H. Iida, "The Game of Synchronized Cutcake," in Proc. of the IEEE Symposium on Computational Intelligence and Games, Honolulu, 2007, pp. 374-379.
[3] A. Cincotti, H. Iida, "The Game of Synchronized Maundy Cake," in Proc. of the 7th Annual Hawaii International Conference on Statistics, Mathematics and Related Fields, Honolulu, 2008, pp. 422-429.
[4] A. Cincotti, H. Iida, "The Game of Synchronized Domineering," in Proc. of the Conference on Computers and Games 2008, Beijing, 2008, pp. 241-251.