Some important traits of a successful theory or argument are that it's simple and elegant. In my humble opinion, the same rule of thumb applies to video games, and Planarity is a prime example of this. The object of the game? Untangle the mess, so that no lines connecting any the vertices (the blue dots) cross. How? By moving the vertices with your mouse. It's that simple and that engaging.
However, with all that said and done, the game itself is anything but simple.
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