can you completely unpack an object of D+1 dimensions into D dimensions in finite space or is it's volume in D dimensions infinite
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Space-filling curves show this argument doesn’t hold up (!) but as far as google gets me they’re all unbounded in length as the approximation gets better, which means “infinite” for the original q. I don’t know if that’s fundamental (but suspect it is). https://en.wikipedia.org/wiki/Space-filling_curve …
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