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Re:Carl Sagan wrote a design doc for a video game based on h... by blevinstein on Wednesday November 11, 2015 @10:17PM (#10551085)
I recently spent some time trying to turn a 2D simulation of Special Relativity into a game:

https://github.com/blevinstein/SRAsteroids

To see what it looks like, you can check out this youtube video:

https://www.youtube.com/watch?v=_hSCz7tRl1s

I wrote an engine that modeled object positions as "timelines", where position varies with time, and demonstrated the basic relativistic effects (length contraction, time dilation, and frequency shifting).

Unfortunately, I never really figured out how to turn these into actual game mechanics.