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Windings Of The Torus

The torus can be wound with a single line wrapping n times around one axis and m times around the other axis (without line crossings) if and only if n and m are relatively prime. (That is, they share no factors other than one.)

You can create windings with other values of n and m, but they will be composed of multiple loops (or they will have line crossings).

Send all responses to my email address is mathrec at this domain.

Thanks,
Steve