Unexpected Shapes (Part 1) - Numberphile
Tadashi Tokieda cuts various combinations of loops and Mobius loops - with surprising results. More links & stuff in full description below ↓↓↓ Part 2: https://youtu.be/mh3eMt09EAs And...
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We'll start very slowly, but don't worry we'll speed up in a moment. A strip of paper and I glue the ends into a loop. A straight loop. And I cut it along the centre line. Well, what's going to happen? Everyone can guess what's going to happen. In fact everyone knows with total conviction what's going to happen. It splits into two halves. Next, we're going to make the famous object Möbius strip. Now that's one twist - 180 degrees - and glue the ends. And this is the well-known object which only has one face and so forth. What's going to happen if we cut this along the centre line? And unlike the previous case it does not fall into two pieces. Now, so far so good. And people might say I've already done that and s...
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We'll start very slowly, but don't worry we'll speed up in a moment. A strip of paper and I glue the ends into a loop. A straight loop. And I cut it along the centre line. Well, what's going to happen? Everyone can guess what's going to happen. In fact everyone knows with total conviction what's going to happen. It splits into two halves. Next, we're going to make the famous object Möbius strip. Now that's one twist - 180 degrees - and glue the ends. And this is the well-known object which only has one face and so forth. What's going to happen if we cut this along the centre line? And unlike the previous case it does not fall into two pieces. Now, so far so good. And people might say I've already done that and s...
