Mobius Strip
Sorry, but this content is reserved for subscribers only.
The $20/year subscription helps cover the costs of producing new videos, writing curriculum units, site development, and hosting. Without that support, this site would not be possible.
If you are already a subscriber, and having problems logging in, please check the Support Page.
If you are not yet a subscriber, please check out the Free Stuff page, and Subscribe Now.
Cutting
I did everything in that video, I cut it in half, and then I cut it in half again. It came up with TWO Mobius Strips interlocked together! Why is that? Please don't email me, just put a reply on here.
That is part of the fun of a
That is part of the fun of a Mobius Strip. Once you get to the point of two interlocked strips, try cutting those in half. What do you think will happen?
Cut In Half Again
I cut it in half again, and am I supposed to come up with 4 Mobius Strips? Interlocked? If so, how does that work?! Why does that happen? Please don't email me, just put a reply on here.
Ahh, try it and see what
Ahh, try it and see what happens. I don't want to spoil it.
I Did It
I did it, and I came up with 4 Mobius Strips interlocked. Why does it come up interlocked? Why doesn't it just be one big thin Mobius Strip? Please don't email me, just put a reply on here. Thanks! :)
It is all in the number of
It is all in the number of twists in the loop. When the strip has an odd number of twists, (1, 3, etc.) cutting it in half gives you a larger circle and it adds a twist. When it has an even number of twists, you get two loops that are interlocked. You start with one twist, to make the Mobius Strip. Cutting it gives you a larger circle, with two twists. Cutting that one gives you two interlocked loops, each with 3 twists, since it started with an even number of twists. With a wide enough Mobius Strip, and enough patience, you can keep going. Each time, it will alternate between a large loop and two interlocked loops.
I have a question.
I have a question. I'm studying the Mobius Strip, and I came across the word topological. Because it is a good example of a topological structure. What does topological mean? I know it's grad school level, but I want to see if I can put it into my own words. Do you think you can help me, please? Thanks!
Hannah
Topology is the study of
Topology is the study of shapes and surfaces as they are bent, twisted, or stretched. For example, the Mobius Strip is a surface that has only one side, and only one edge. Because of the single twist, both sides of the paper are connected in a continuous loop. The same is true for the two edges of the strip. Another simpler example is the Coins Through a Hole video: http://thehappyscientist.com/science-video/coins-through-hole. By bending the paper, you put a large coin through a small hole, without tearing the paper.
Great!!!
Great!!! Thank you SO much! That is SO helpful! Did you get a PHD in college? Maybe you could do something on forces and motion, please? That might help kids, like me, understand Newton's Laws of Motion. Thanks again!
Hannah :)
No, no PhD. I am working on
No, no PhD. I am working on a video on Newton's Laws that will be a LOT of fun. Coming soon!
When?
When is it coming out? I've been waiting for a long time now, I'm not complaining. I've finally caught up with you videos.
Hannah
Well, video production takes
Well, video production takes a while. Each video takes about 10 hours of research, a day of taping, and usually another 10-30 hours in post production for putting the pieces together, correcting color, sound, adding titles, etc. I can usually manage about one a week.
The video on Newton's Laws of motion is taking quite a bit longer because the "special guest star" is not used to performing for video. I think it will be worth the wait though. In the mean time, I am working on several other videos too. I'll try to get one of them finished quickly.
can't wait to see your new
can't wait to see your new videos Mr. Krampf!! Looking forward to it!!!
Neat!
Neat! That sounds SO cool! I can't wait to see it!
Hannah
Love this lesson!
I'm using it this week...great for math AND science!
Post new comment