It’s a cool shape.
It also lets people think of “one sided shape” as a possibility that doesn’t exist in 2 dimensions, which can help people understand 4D space a little better.
There’s also some instances where something goes in a looping circle, which the mobius strip describes pretty handily. And the [wiki page has a bunch of those listed](https://en.wikipedia.org/wiki/M%C3%B6bius_strip#Applications), even if a bunch of those applications are more descriptive “where we find it in nature” instead of “how it can be used”.
But beyond that it’s a cool shape.
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