In the video mathematics professor Eric Dermaine shows that paper can be folded and one cut made to make various shapes. In the video, Eric folds a piece of paper and makes one cut to reveal a swan.
After the video, I worked with students to fold paper and make one cut to form a five pointed star. The same fold and cut trick that Betsy Ross supposedly showed George Washington when the American flag was being designed. Here are the directions we used. My five pointed star is seen below. We also explored mobius strips and what happens when you cut a mobius strip 1/3 from the edge of the strip and in the center of the strip.