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Tyger
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This has an answer, but it makes a nice puzzle for the mathematically inclined so I'm presenting it as a riddle.
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.
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.