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Interviews these days (thelemmy.club)
submitted 4 months ago by to c/whitepeopletwitter@sh.itjust.works
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[–] 1 point 4 months ago (1 child)

Why does following a tangent vector field visit all faces of the hypercube? Surely it's not going to visit something like a dense subset of the hypersphere's surface? (Or is it? My intuition comes from thinking about the torus)

I'm more interested in the maths ;)

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  • [–] 2 points 4 months ago

    My topology and maths are very rusty, am a software developer these days.

    I think that there are both tangent vector fields that don't and some that do. In the two dimnsional case (circle) certainly all do.

    In n I intuitively would say that you should be able to have a vector field that does but I am now less confident to think about a proof on my bus rides while I answer here. I tried twice already.

    I will try to think about this more, will ping here if I get more

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