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

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

Note by Arron Kau
4 years, 5 months ago

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I 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.

- 4 years, 5 months ago

I don't know about topology beyond a lay understanding, but as a kid I read a book called One Two Three... Infinity and enjoyed it.

It 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.

- 4 years, 5 months ago

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...)

- 4 years, 5 months ago

Narges, for some of these problems (especially 3 and 4), multiple choice was the only way to really make the questions work.

If I could ask, why do you like the other kind of questions more? Is it because you get multiple tries?

Staff - 4 years, 5 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 :- (

- 4 years, 5 months ago

What browser are you using?

- 4 years, 5 months ago

internet explorer

- 4 years, 5 months ago

No wonder it doesn't work.

- 4 years, 5 months ago

i solved my problem with that......... anyway;thank you!

- 4 years, 5 months ago

Thanx, Dan. I will order for one right away.

- 4 years, 5 months ago

Hello there

- 4 years, 5 months ago

It's amazing shape in 3-D... one can iterate in single line without crossing. if cut in half, we get 2 mobius strips...

- 4 years, 5 months ago