Added: 3 years ago
From: kitefrog
Views: 27,177
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  • I found this incredibly interesting. I am a huge nerd though.

  • 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.

  • Little things...

  • they need to make some mobius roller coasters with your designs

  • the bounderies increase by 4 every time

  • @skutadude

    15 isnt a prime

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

  • Is there a pattern to the numbers?

  • I really liked that. You should definitely experiment more.

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

  • is this what you do? make mobius strips all day?

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

  • @wvguy8258 Correction: Klein Bottle.

  • What's the significance of the number of intersections needed to "flatten" the strip?

    I also don't understand what you mean by boundries in higher dimensions? That seems kind of random.

  • there's 8 boundaries not 7.

  • 4:40 inspirational musical toned word hahaha, awesome video!!! I don't know how I got to this (I was watching and searching manga drawings lol) but it is very interesting. I don't understand what a "mobius strip" is, first time hearing about it, but I'm gonna search some info about it. Thanks for the video! ^^

  • wat

  • ME HAVE IDEA!!!!!!!! Make a strip of paper then on the bottom of it make a line of happy faces then turn it over and on the top make a chain of sad faces, then make the mobous strip and see what happenes! Message me the vidio if you make one with what i said please.

  • @iceyflames7 Lazy fucking slob much?

  • what you have done here is probably new due to the fact that you are destroying the Möbius strip when you cut your slotts and intersect the surfaces. however this is a new way of looking at them and that cant be a bad thing! well done

  • @Tennisers Really? You recorded how many cuts and intersects are needed to flatten a specifically cut mobius strip? What elementary school is this?

  • @argonium79 You sir, have no creativity or ambition, do you?

  • it doesnt coutn because topology doesnt allow you to cut it. cutting it can make many new discoveries

  • 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!

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

  • 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.

  • Hi. Your intersections have 4 paths coming out of them. Can intersections be combined?

  • man how much time did you waste on that? You cant intersect a mobius strip otherwise you run round and round on one side or on the other not both

  • Too bad I don't really understand what's going on =(.

  • 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.

  • lol

  • i remember this from 5th grade where my friend said he found out that a paperpiece he stuck together only had 1 side. memories of old :)

  • That's really cool!

    I never thought about using paper models to demonstrate what usually is only done in modeling software (passing the sides through each other)

    Nice work!

    I'm absolutely sure your discoveries aren't new (if you read enough books), but I encourage you to post this on some topological/mobius strip related forums and see what pops up!

    Thanks for posting this!

  • My god, that's confusing as hell to understand for me.

  • what is a mobius strip?

  • It's a continuous surface with only one side, as opposed to say a hamster wheel, with an outside and an inside.

    As for this video, I wish I knew more than what I just said about topology and indeed maths in general, I really do.

    I hope someone who knows what they're talking about stumbles in and confirms the novelty of your discoveries.

    kai, bai

  • 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!

  • wtf?

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