Mobius Strip - NEW DISCOVERIES?

I can't find reference to these new results anywhere. Are my findings new?

A mobius strip has only one boundary. I think that I may have discovered that a multi-flip mobius
strip can be flattened with strip intersections. The number of lines ( a line is only a plain intersection) needed to flatten a mobius strip is double the number of original twists in the strip. Plus I found that the solution has boundaries in another dimension that is always one less than the number of resulting twists when cut down the middle. The results are consistent up to 7 twists but the solution times increase significantly, it might be an NP complete problem? It is very interesting so far! I'm working on the mathamatics of it currently, this is much slower.

Category:

Education

Tags:

• Mobius
• Strip
• Topology
• New
• discovery
• mathamatics

[kitefrog]

I was manic at the time, I was also studying topology, the midels helped.

[kitefrog]

No, in knot theory a crossing always has 4 junctions of a vertex because it considers an over cross and an undercross. Three crossings cannot share the same vertex in knot theory.

[kitefrog]

mszczepaniak, I've given it up for the mean time. Yes, it was a waste of 400-600 hours, then again, eons ago a someone spent a whole year working out pi to 700 digits and made a mistake after 500. Pity. VEry funny.

[kitefrog]

WTF WTF?

I found out after that the mobius strip becomes a multidigraph and the path between the nodes is a Eulerian Circuit. There is a good video of mine about 1 flip mobius strips, I found all of the symmetries between the 10 solutions.

Unfortunatly, counting Eulerian Circuits in digraphs, as far as I can figure remains and open problem in mathematics!

[ladezkik]

It's incredible how a piece of paper can blow up my mind :p

[koundinyavajjha1618]

hey...you can check this site, if you haven'nt already.....google "mathworld wolfram"...amazing site....hope it helped!

I'm interested in mobius strips as well...thanks for posting!

[Tiwaking]

I found this incredibly interesting. I am a huge nerd though.

[drewe51]

Pattern is 2n for intersections and 2n+1, for what he is calling higher dimensions. I might have the names flipped, but that's the pattern I don't really think it involves higher dimensions though.

[xjames118]

Little things...

[taylorthemexican]

they need to make some mobius roller coasters with your designs

[Fika666]

the bounderies increase by 4 every time

[petersrolo]

@skutadude

15 isnt a prime

[skutadude]

all the numbers of 'boundaries' are prime numbers :O

[SqueakyPanther]

Is there a pattern to the numbers?

[sarahannstarmer]

What I thought was that he hadn't done enough and should do more.

[sarahannstarmer]

I really liked that. You should definitely experiment more.