Where is the Centroid of a Moebius Strip? [SOLVED]

  • Thread starter Thread starter kureta
  • Start date Start date
  • Tags Tags
    Centroid
kureta
Messages
12
Reaction score
0
[SOLVED] centroid of a moebius strip

Since the edge of a moebius strip is topologically equivalent to a circle, we can cut a disk form an euclidean 2D plane and sew a moebius strip on its place. Now we have a 2D space with a circular-edged moebius strip added. And now this strip is a 2D region in 2D space and we can talk abut its interior, exterior, border, area, centroid, etc. Where is this moebius strip's centroid? (we should be able to define it with the strip's width and radius.
 
Mathematics news on Phys.org
I don't mean to be rude or arrogant (because maybe all my questions were stupid and not worth spending time on) but I've asked 4 questions in this forum and the best answer I got (if any) was "err... I knew this but i forgot". Of course this is not a Q&A forum. This is a discussion forum. But after a couple of tries people gave up discussing too. So I will mark this thread as "solved" and never ask a question again (like anyone would care). I wish all academicians here a successful academical career.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

I Find an explicit formula for this n-sum problem
Replies
7
Views
3K
Geometry of perspective: apparent projected distance
Replies
1
Views
2K
Handles and non-orientible 3D manifolds
Replies
1
Views
2K
A Electric and magnetic field lines in a plane wave of finite extent
Replies
1
Views
1K
Travelling to the edge of the Universe, 4th Dimensional Time Travel
Replies
10
Views
5K
I Where is Laplace's Equation Valid in Different Domains?
Replies
1
Views
1K
Calculating the density of optimally packed spheres
Replies
4
Views
3K
I Physical Universe vs. Simulated Universe
Replies
3
Views
2K
Has the 140-Year-Old Schwarz-Christoffel Math Problem Finally Been Solved?
Replies
1
Views
3K
Finite dual disk capacitor: estimating charge distribution
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top