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> This wording sounds remarkably similar to quantum mechanics. I wonder how far you could take the idea of building a game out of state vectors and linear transformations.

That's an interesting idea (and might fit in with "math / science gamification" software). Terry Tao used the opposite point of view, describing quantum mechanics in terms of video games: http://terrytao.wordpress.com/2007/02/26/quantum-mechanics-a....




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