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May 23, 2022 at 5:47 history edited Martin Sleziak CC BY-SA 4.0
http -> https (the question was bumped anyway)
Oct 7, 2011 at 18:28 comment added Aubrey da Cunha I'm not sure about non-commutative turn based games, but certainly the puzzles presented in a number of popular video games can be easily described with non-abelian groups. One that comes to mind was a lever puzzle in the first God of War game. The state of a device was manipulated with two levers and a particular state would open the door. It turns out that the state space of this device was a group generated by the actions of the two levers. So proceeding in the game was equivalent to finding a representation of a given group element in terms of the generators.
Feb 2, 2010 at 17:43 comment added B. Bischof I gave a talk at MathFest in 2007 on the $n$-dimensional generalization of this game. Just assume your playing the game on a lattice and pressing a light changes all lights touching it. We also generalized the solution to include things like lights out on a torus or a sphere or a mobius band... The point is, all the solutions are similar and the generalization follows fairly easily by reconstructing the "button vectors" which are related to the change of state when pressing a particular button.
Feb 1, 2010 at 18:00 history answered Alex R. CC BY-SA 2.5