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xkcd #2882: Net Rotations
(imgs.xkcd.com)
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This guy: keeps records and spends extra time.
Me: Goes back home.
Just have to be sure to use the same doors so the string/worldline doesn't get caught.
Yeah, but if you get spun around inside a room you still have problems
Three rights make a left. It's entirely possible to have an unbalanced ratio of left to right rotations in a day
Triangular grid guy: "Guess I'm going back the way I came."
Hexagonal grid guy: "What is left. What is right. This did nothing! Nothing!"
Guy on Penrose tiling: "Get me out of here!"
(In before: "You have the first two the wrong way around." Not if they're walking the edges.)
If you are doing that by car, then the cloverleaf will add to your spin, not cancel it out.