This has an answer, but it makes a nice puzzle for the mathematically inclined so I'm presenting it as a riddle.(adsbygoogle = window.adsbygoogle || []).push({});

You have a hypersphere of n dimension and you want a function which describes a non-geodesic line which never crosses itself in the space of the sphere. Questions:

What is the smallest number of dimensions such a sphere can have?

How do you construct the function that describes such a line?

Enjoy. I'll give the answer if you get stuck.

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# A simple riddle.

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