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.

- 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!

No vote yet

1 vote

$</code> ... <code>$</code>...<code>."> Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in $</span> ... <span>$ or $</span> ... <span>$ to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

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.

Log in to reply

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.

Log in to reply

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...)

Log in to reply

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?

Log in to reply

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

Log in to reply

Log in to reply

Log in to reply

Log in to reply

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

Log in to reply

Hello there

Log in to reply

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

Log in to reply