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Here is a writeup on Google's S2 library for considering addressing the surface of the Earth as 1D, using Hilbert Curves.

http://blog.christianperone.com/2015/08/googles-s2-geometry-...

And 2015 HN thread: https://news.ycombinator.com/item?id=10066616

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My favorite has always been Serpinski curve - the math behind Philip Jose Farmer's Riverworld :-) Here, you can print one yourself :-) https://www.thingiverse.com/thing:622627

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