Topology of Möbius Cuts | Simple yet Powerful Math Model for High School Students

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  • เผยแพร่เมื่อ 16 ม.ค. 2025

ความคิดเห็น • 26

  • @KiraAkaike
    @KiraAkaike 6 ปีที่แล้ว +6

    This is the best explanation I've seen so far. Great video!

  • @mahdiehemrani5568
    @mahdiehemrani5568 3 ปีที่แล้ว +2

    Hi, thanks for the video. It is so good that you use different color strips. it makes it easier to understand. your last project was awesome. haven't seen it before. I got motivated to try other combinations too. BTW your logo is really neat, and it might be fun for students to make it using origami. do you have the instructions for the model?
    well done and thanks

  • @sciencemodelaboratory7298
    @sciencemodelaboratory7298 5 ปีที่แล้ว +1

    Please make more video like this.

  • @saurabhsingla4624
    @saurabhsingla4624 6 ปีที่แล้ว +1

    Very nice sir.....ehare more videos like this

  • @pauselab5569
    @pauselab5569 8 หลายเดือนก่อน

    I think the best visual is
    Transparent duct tape because you get to see orientation better. Topology doesn’t really care about cutting the mobius strip in 2 because that depends on how it is represented and embedded in our space. Not a topological property

  • @fty325
    @fty325 4 ปีที่แล้ว

    Very useful man

  • @SoCalStyles
    @SoCalStyles 6 ปีที่แล้ว +1

    So can you model cutting a Möbius strip twice down the middle? so the first time I did it I get the strip with 4 twist the same as you but when I cut it a second time it looks like I get 2 strips with 4 twists linked together....

    • @SoCalStyles
      @SoCalStyles 6 ปีที่แล้ว

      if you bisect a strip with an even number of twists you get two
      loops, each with that same number of twists. So a loop with 2 twists
      splits into two loops, each with 2 twists, and so on.If the number of twists n is odd, you get one loop with 2n
      + 2 twists. Checking this against the case we already know, this
      formula does indeed give us the right result - a strip with 1 twist
      becomes a loop with 2+2 = 4 twists.

    • @mathconstructed3268
      @mathconstructed3268  6 ปีที่แล้ว

      @@SoCalStyles Thank you for the generalisation. The model is (sadly?) too simple to distinguish zero twist and any other strip with even number of twist.

    • @SoCalStyles
      @SoCalStyles 6 ปีที่แล้ว

      I replied to my own comment with an answer I found somewhere else.

  • @rajatdash9198
    @rajatdash9198 2 ปีที่แล้ว

    Can u please tell me, under which branch of mathematics does this come ?
    Please 🙏🙏

  • @peglegnoid6139
    @peglegnoid6139 6 ปีที่แล้ว +1

    How many sides does a simple 1/2 twist Mobius have ?

    • @SoCalStyles
      @SoCalStyles 6 ปีที่แล้ว +2

      A Möbius strip by its nature only has one side and one edge.

  • @rosanazl8159
    @rosanazl8159 4 ปีที่แล้ว +2

    I'm here to understand LOOΠ∆ Theories better.
    Anyways stan LOOΠ∆

  • @khunlinna3548
    @khunlinna3548 4 ปีที่แล้ว

    That cool

  • @wasylbasyl
    @wasylbasyl 5 ปีที่แล้ว +5

    Ok ok but tell something about time travel. #Endgame

    • @tauhid9983
      @tauhid9983 5 ปีที่แล้ว

      I think the time travel factor is not specific to the mathematics of mobius strip.. except that the 1 directional continuum of time is only symbolically represented with a mobius strip.... ie the problem Banner was talking about that you can't go back in time to kill baby thanos and expect thanos to have cease to exist.

    • @fty325
      @fty325 4 ปีที่แล้ว

      They used its shape for time travel so they used its shape and property nothing more than that

  • @stanervin6108
    @stanervin6108 4 ปีที่แล้ว

    Have now subscribed to your channel. Would really love to see the math behind a Klein bottle.
    Also, if possible, how a mathematical formula//function can create a Mandelbrot image. Especially the gradients of colors.
    Just thought that I would present you with this query/challenge. If this task is too complex for your level of expertise, would you be so kind as to link me to a plausible demonstration. RSVP. Thank you.
    Read less

  • @kat5266
    @kat5266 4 ปีที่แล้ว

    Hi sir, please do make more videos! Your last one is 1 year old :(

  • @MarioUcomics
    @MarioUcomics 5 ปีที่แล้ว +4

    Who's here because of Avengers Endgame?

    • @nicopb4240
      @nicopb4240 5 ปีที่แล้ว

      Why do you ask that?😂

  • @vitorportosilverio5820
    @vitorportosilverio5820 15 วันที่ผ่านมา

    658°th sub

  • @Jrs6iu
    @Jrs6iu 2 ปีที่แล้ว

    Stan LOONA

  • @بيانالخضري
    @بيانالخضري 3 ปีที่แล้ว

    Way you are stop!!!