0
$\begingroup$

What is the 'center circle' of a Mobius band? The question I am working on asks me to cut (literally) a Mobius band in half 'along its center circle.'

What exactly does this mean? I know the plane model for a Mobius band is simply a square with top edge $A$ and bottom edge $A^{-1}$

I just need help interpreting the directions of the question to get started! Thanks in advance for the help!

$\endgroup$
5
$\begingroup$

Take a look at this image, think about a Mobius band embedded in $\mathbb{R}^3$. Alternatively, looking at the plane model, take the center line of the square. enter image description here

$\endgroup$
  • $\begingroup$ Ah I see. The center line is the line separating black from white then? $\endgroup$ – coreyman317 Apr 18 '18 at 4:37
  • 1
    $\begingroup$ Yes, that's exactly it! $\endgroup$ – B. Mehta Apr 18 '18 at 4:38

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.