Twisted

Geometry Level 4

If you cut a Moebius strip in half down the middle, you obtain:

A single strip, half as wide, with 2 half twists A single strip, half as wide, with 4 half twists Two strips, unlinked, each with a single half twist Two strips, linked, each with 2 half twists

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2 solutions

Denton Young
Mar 8, 2017

A mathematician confided

That a Moebius strip is one-sided.

And you'll get quite a laugh

If you cut one in half

For it stays in one piece when divided.

[If you cut any strip with an odd number of half twists, say N, down the middle, you end up with a single strip half as wide with 2N + 2 half twists. But if you cut a strip with an even number of half twists down the middle, you get two linked strips.]

Saharsh Rathi
Mar 9, 2017

Check out this link - Youtube

He explained it in the starting one and a half minutes.

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