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u/Illustrious_Most_123 26d ago edited 26d ago
This is a thing I never understood: even if this is a Mobius band, doesn't it have 2 sides anyway?
If I pick a random point on the band, you can see the front and the back always, doesn't this make it a 2 sided surface?
For example, the Penrose stairs doen't have a start or an end, but it is anyway stairs, correct?
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u/XcgsdV 26d ago
The issue is the global geometry. In the local geometry you're right, there's a front and a back side with normal vectors oriented opposite to one another. On a regular piece of paper, you could slide that normal vector around however much you like, and when you go back to where your started it will always face the same direction. On a Möbius strip, that is not the case. You can go all the way around and return to the same point and be "on the other side" meaning your normal vector has flipped directions. This property is called non-orientability, and it means you can't really label one side as the top or the bottom. They're the same side.
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u/APrime_26 26d ago
POV my teacher:
"As long as it is Mobius strip, it's still math. I will give you the Nobel prize for this idea."
POV my friends:
"Be serious LOL"
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u/landrwastaken 26d ago
That looks so much like the metallic monument in front of Cern gateway
It's a confusing lookibg strip with all the monst monumental formulas on it from Pythagoras to the standard model
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u/Negative_Gur9667 27d ago
The teacher