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Knot a Problem

 
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Jan22-13, 02:22 PM   #1
 

Knot a Problem


Interesting article from SciAm on transforming a rubberband into a trefoil knot and how math in the knot world of zero thickness says no but the real world says yes.

http://www.scientificamerican.com/ar...band-into-knot
PhysOrg.com mathematics news on PhysOrg.com

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Jan22-13, 07:55 PM   #2
 
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Very cool video!!

However, using a knife to cut the band is a bit cheating, so it becomes a bit less impressive Still cool though.
Jan22-13, 10:31 PM   #3
 
Quote by micromass View Post
Very cool video!!

However, using a knife to cut the band is a bit cheating, so it becomes a bit less impressive Still cool though.
True, I liked the thinking outside the box even though we knew this trick from the mobius strip. I also liked how he compared the real to the math to show how one allows it but the other doesn't.
Jan22-13, 10:53 PM   #4
 

Knot a Problem


Quote by jedishrfu View Post
True, I liked the thinking outside the box even though we knew this trick from the mobius strip. I also liked how he compared the real to the math to show how one allows it but the other doesn't.
That's not strictly true. The math allows for a torus to be made into a trefoil knot, which is what he did. It's a lesson in choosing mathematical models carefully. Still, it was a very cool video; I think I'll make one for myself.
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