The Game of Synchronized Triomineering and Synchronized Tridomineering
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.
[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:
http://wisdomarchive.wisdom.weizmann.ac.il:81/
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.
[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:
http://wisdomarchive.wisdom.weizmann.ac.il:81/
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.
@article{"International Journal of Information, Control and Computer Sciences:55520", author = "Alessandro Cincotti and Shigetaka Komori and Hiroyuki Iida", title = "The Game of Synchronized Triomineering and Synchronized Tridomineering", abstract = "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.", volume = "2", number = "7", pages = "2400-6", }