Abstract: In synchronized games players make their moves simultaneously
rather than alternately. Synchronized Quadromineering is
the synchronized version of Quadromineering, a variants of a classical
two-player combinatorial game called Domineering. Experimental
results for small m × n boards (with m + n < 15) and some
theoretical results for general k × n boards (with k = 4, 5, 6) are
presented. Moreover, some Synchronized Quadromineering variants
are also investigated.
Abstract: Domineering is a classic two-player combinatorial
game usually played on a rectangular board. Three-player Domineering
is the three-player version of Domineering played on a three
dimensional board. Experimental results are presented for x×y ×z
boards with x + y + z < 10 and x, y, z ≥ 2. Also, some theoretical
results are shown for 2 × 2 × n board with n even and n ≥ 4.
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.