Mathematician proves that Möbius band must have an aspect ratio greater than √3(phys.org)

15 pointsby PaulHoule3 ปีที่แล้ว2 comments

Mathematician proves that Möbius band must have an aspect ratio greater than √3

https://phys.org/news/2023-09-mathematician-mbius-band-aspect-ratio.html

1 comments

senkora3 ปีที่แล้ว

The article is light on details and I assume that this is accounted for in the paper or problem definition, but there does seem to be a way to make a Mobius strip-like construction from a square surface:

https://math.stackexchange.com/a/734261

Like the author of the answer, I am unsure whether this counts.

lokeg3 ปีที่แล้ว

The aspect ratio in that fold is 4, the very first step is folding the square down into a ribbon