Möbius Strips and Differential Equations

(hidden-phenomena.com)

29 points by mbustamanter5 days ago

2 comments

azeemba1 hour ago
I enjoyed reading this. I have been making my way through Needham's Visual Complex Analysis (<a href="https://global.oup.com/academic/product/visual-complex-analysis-9780192868923?cc=us&lang=en&" rel="nofollow">https://global.oup.com/academic/product/visual-complex-analy...</a>) book which takes a similar visual-focused view of teaching all of complex analysis. Chapter 2 in particular covers multivalue functions and branch points to make a similar point about how some paths will yield different values at same points.
1970-01-012 hours ago
Here's the reason you need enginners in the universe. Yes, the strip has non-orientability. Howwever, just introduce spin about the center, as you would a wheel, and you get all the same benefits of orientation as long as you're not in a completely empty void in space. Upside sees constantly changing, inside sees the other side of the strip.
- srean1 hour ago
  I think you are saying something interesting. Could you elaborate a little though because I am not quite getting you yet hooked to understand what you are saying.
  - 1970-01-0129 minutes ago
    Spin gets you centripetal force. You know where inside and outside are globally because the forces will be opposite depending on which "side" you're standing, which directly contradicts their statement "..globally you cannot label one side as up and one side as down. If you try to label one side as up, and then you move continuously around the Möbius strip, you'll end up labelling that same side as down!"
    - srean7 minutes ago
      Got you.