Open-ended investigation: Fold and cut

If you can fold a piece of paper anyway you like and as many times as you like, and then take a pair of scissors and make just one straight cut, what possible shapes can you make?

For example, I’ve folded a piece of paper (shown below) three times.

Three folds

Now I make the following cut…

Single straight cut

What shape will this result in when I unfold the paper and lay it flat?

* I first learned about this idea from the movie “Between The Folds.” Here are a few more examples from Dr. Erik Domaine’s website.


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