Borromean Ribbons - Numberphile
Tadashi Tokieda is talking about Borromean links again - this time using ribbons. More links & stuff in full description below ↓↓↓ More Tadashi videos: http://bit.ly/tadashi_vids Knots:...
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Another interesting presentation of the Borromean link is this. I have brought here two loops, blue and pink. And I'll hold them up through my fingers like so. There are three loops here. At the bottom, the blue loop. In the middle, the pink loop. And at the top, the loop consisting of my fingers, the index finger and thumb, like so. One, two, and three. Now, it seems very intuitive that the blue and my finger loops are not linked at all. I mean, they are far apart in space. In contrast, the blue and pink are linked, and the pink and my fingers are linked. But then I grab this part and pull... And they exchange places! Huh? This time, the blue, which seemed unlinked to my fingers, is linked to my fingers, but the pink, which used to be on my finger...
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Another interesting presentation of the Borromean link is this. I have brought here two loops, blue and pink. And I'll hold them up through my fingers like so. There are three loops here. At the bottom, the blue loop. In the middle, the pink loop. And at the top, the loop consisting of my fingers, the index finger and thumb, like so. One, two, and three. Now, it seems very intuitive that the blue and my finger loops are not linked at all. I mean, they are far apart in space. In contrast, the blue and pink are linked, and the pink and my fingers are linked. But then I grab this part and pull... And they exchange places! Huh? This time, the blue, which seemed unlinked to my fingers, is linked to my fingers, but the pink, which used to be on my finger...
