Abstract
In synchronized games players make their moves simultaneously rather than alternately. Synchronized Triomineering is the synchronized version of Triomineering, a variant of a classical two-player combinatorial game called Domineering. New theoretical results for the \(n \times 11\) board are presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bahri S, Kruskal CP (2010) New solutions for synchronized domineering. In: van den Herik HJ, Iida H, Plaat A (eds) Proceedings of the conference on computers and games 2010, Springer, Kanazawa, 24–26 Sept 2010, pp 211–229
Berlekamp ER (1988) Blockbusting and domineering. J Comb Theory Ser A 49:67–116
Berlekamp ER, Conway JH, Guy RK (2001) Winning way for your mathematical plays. AK Peters, Wellesley
Blanco SA, Fraenkel AS (2004) Triomineering, Tridomineering, and L-Tridomineering. Technical report MCS04-10, Department of Computer Science and Applied Mathematics, The Weizmann Institute of Science. http://wisdomarchive.wisdom.weizmann.ac.il:81/archive/00000367/
Breuker DM, Uiterwijk JWHM, van den Herik HJ (2000) Solving \(8\times 8\) domineering. Theor Comput Sci 230:195–206
Bullock N (2002) Domineering: solving large combinatorial search space. ICGA J 25(2):67–84
Cao T, Cincotti A, Iida H (2012) New results for Synchronized Triomineering. In: Ao SI, Castillo O, Douglas C, Feng DD, Lee J (eds) Lecture notes in engineering and computer science: proceedings of the international multiConference of engineers and computer scientists 2012, IMECS 2012, Newswood Limited, Hong Kong, 14–16 March 2012, pp 1482–1485
Cincotti A, Iida H (2007) The game of synchronized cutcake. In: Proceedings of the IEEE symposium on computational intelligence and games, IEEE Press, Honolulu, 1–5 April 2007, pp 374–379
Cincotti A, Iida H (2008) The game of synchronized Maundy Cake. In: Proceedings of the 7th annual Hawaii international conference on statistics, mathematics and related fields, Honolulu, 17–19 Jan 2008, pp 422–429
Cincotti A, Iida H (2008) The game of synchronized domineering. In: van den Herik HJ, Xu X, Ma Z, Winands MHM (eds) Proceedings of the conference on computers and games 2008, Springer, Beijing, 29 Sept–1 Oct 2008, pp 241–251
Cincotti A, Komori S, Iida H (2008) The game of synchronized triomineering and Synchronized Tridomineering. Int J Comput Math Sci 2:143–148
Conway JH (2001) On numbers and games. A K Peters
Gardner M (1974) Mathematical games. Sci Am 230:106–108
Lachmann M, Moore C, Rapaport I (2000) Who wins domineering on rectangular boards. In: Nowakowski RJ (ed) More games of no chance. Cambridge University Press, Cambridge, pp 307–315
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Cincotti, A. (2013). Synchronized Triomineering on Rectangular Boards. In: Yang, GC., Ao, SI., Huang, X., Castillo, O. (eds) IAENG Transactions on Engineering Technologies. Lecture Notes in Electrical Engineering, vol 186. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5651-9_6
Download citation
DOI: https://doi.org/10.1007/978-94-007-5651-9_6
Published:
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-5623-6
Online ISBN: 978-94-007-5651-9
eBook Packages: EngineeringEngineering (R0)