I thought it might be fun to share a set of problems on Möbius strips. These interesting objects have several surprising and wonderful properties, and best of all, they're very easy to make.

To make it more fun, try making your own Möbius strip and experiment with it.

## Instructions for making a Möbius strip

- Cut a long strip of paper. You'll want it to be several cm across, and it should be much longer than its width.
- Bring the ends together to make a simple loop.
- Before attaching them together, add a single half-twist to one side of the strip (as in the image above).
- Enjoy your Möbius strip!

## Comments

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TopNewestI have always seen this performed as a magic trick from my childhood. I was amazed. Later, I came to know about the secret from a children's magic book. In my college I have only learnt mathematics which is limited to electrical engineering. I want to know exactly which branch of mathematics deals with this types of shapes and twists. is it topology. I have never been formally introduced to this subject. an u suggest a good book. – Pranjit Handique · 3 years, 6 months ago

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One Two Three... Infinity and enjoyed it.

I don't know about topology beyond a lay understanding, but as a kid I read a book calledIt talks about the Möbius strip, but then moves onto the topology twisting spaces in 4 dimensions. It also talks about other various subjects like infinite series, and the different types of infinity (\(\aleph _{0}, \aleph _{1}\), etc). It's written from a lay perspective though, you may be looking for a more serious exploration. – Dan Krol · 3 years, 6 months ago

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I think it would be interesting too.but i have kind of problem with the questions which i should choose the correct answer(I mean i prefer to write the answer...) – Narges Gholinejad · 3 years, 6 months ago

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If I could ask, why do you like the other kind of questions more? Is it because you get multiple tries? – Arron Kau Staff · 3 years, 6 months ago

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– Narges Gholinejad · 3 years, 6 months ago

oh,i feel ashame to say what is my problem.....but let me say;when i choose,it doesn't work!i click on the answer but nothing happen :- (Log in to reply

– Taehyung Kim · 3 years, 6 months ago

What browser are you using?Log in to reply

– Narges Gholinejad · 3 years, 6 months ago

internet explorerLog in to reply

– Ryan Soedjak · 3 years, 6 months ago

No wonder it doesn't work.Log in to reply

– Narges Gholinejad · 3 years, 6 months ago

i solved my problem with that......... anyway;thank you!Log in to reply

Thanx, Dan. I will order for one right away. – Pranjit Handique · 3 years, 6 months ago

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Hello there – Thomas Godwin · 3 years, 6 months ago

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It's amazing shape in 3-D... one can iterate in single line without crossing. if cut in half, we get 2 mobius strips... – Anubhav Balodhi · 3 years, 6 months ago

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