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I think so, as the other reply points out.

And I want to encourage everyone to try their hand at making one of these. They're deceptively more interesting than they would appear to be at first glance.

And plus-one on the recommendations for Vi Hart's videos on Hexaflexagons also mentioned here.

You might be thinking of these: https://en.m.wikipedia.org/wiki/Paper_fortune_teller

Oh man! I remembered some of the most vulgar iterations of this artifact back in primary...

Here's a good example: https://youtube.com/watch?v=oqQwWRalcA0

It's different than a "cootie catcher."

Oh that is very different but very cool, thanks.