double game

I have an idea - a general one for now - for a computer game. It would be a game consisting of two games, happening simultaneously and isomorphic. The isomorphism would lie in the fact that the same key presses would control both games and that a sequence of inputs which causes failure in one game, would also cause failure in the other game, and what causes a win in one game, would also cause a win in the other. So, when I play, I can look at one game, or I can look at the other, it makes no difference. For example, in one game, a car could be driving down a road, collecting coins and avoiding obstacles, while in the other game, a rocket would be flying from left to right, collecting something and avoiding different obstacles. Although if it were possible to come up with a less trivial pair of isomorphic games, it would be even better.

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