Fun with Möbius strips! (arts + crafts with topology)

It's really unhealthy to stare at your computer screen all day long. In this video, I'll show you how to create and explore physical Möbius strips! (Although you need to stare at a screen to watch the video :P ).

You need the following supplies: Paper (A4 or 8.5x11), scissors, tape, marker.

(The audio is slightly misaligned for a few minutes in the middle of the video... my apologies for the annoyance!)

[vishweshvarvenkat]

Wow..! That was a great video.! You are an inspiring teacher. It's fun to explore these unique shapes. Thanks a lot for sharing and inspiring.

[erickappel]

I thought I understood the Möbius strip, yet you amazed me with even more peculiar behaviors of this beautiful geometry and made me realize that I know next to nothing!

I see form the comments below that there are even more relations with other math as well!

Thank you for this post!

[nickmcguirk]

Great craft and great lesson! I am working through your Stats/Data Literacy course on Udemy and saw the link for this. Thanks for sharing the fun of math!

[Sthitadhi]

Really interesting video! If you cut again through the central line of the double looped non-mobius strip the second time, will it go back to become a mobius strip again?

[Smorphine]

You just gave me an idea: I plan to do this with my nibblings :) Thank you!

[ibrahim]

Hey professor glad to see you're doing well :)

[mfawzi]

Interesting!!! You made me curious to try it myself

[ormedanim]

ANTS p.156, fig.13.4: So you did find a better hobby :D It's cool but although unrelated, this video actually helped me imagine complex wavelets/objects in complex plane xD Thanks!:)

[ulysses_grant]

"This video has nothing to do with math!" (builds a Möbius strip). Lol! Amazing video Mike, thank you! :D

[blchen]

Amazing demonstration! So if I keep cutting the remaining Mobius strip in the same way (very near to its edge), I will get more and more regular loops inter-linked with a shrinking Mobius strip. Then as the width of cutting goes to zero (# of regular loops goes to infinity), the remaining Mobius strip's width also vanishes. Does it imply that a Mobius strip can be thought of as a foliation of an infinite number of regular loops? Maybe this is a well known result for toplogists? :)