Comments - An Alternative to Toroidal Video Games

The Deranged Mathematician

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Sniffnoy

Jun 6

So wait, what goes wrong if you try to do a projective plane instead by twisting both axes? Apparently something must, but I can't offhand think of what!

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Senia Sheydvasser

Jun 6

Author

Taken from elsewhere in the comments: https://thinkstrangethoughts.substack.com/p/snakes-on-a-projective-plane

If you play with the head-centric mode engaged, you can clearly see the issue!

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Sniffnoy

Jun 12

Hm, so I guess the issue here is that, while you can program it, the result doesn't actually respect the uniformity of the surface you're trying to implement -- the surface doesn't have any distinguished points like the corner, but this implementation does. Interesting.

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Senia Sheydvasser

Jun 6

Author

What happens at the corners? E.g. if you go in a small circle around one of the corners, will it take you a full 360 degrees?

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