The Shape of a Pop-up


Students begin addressing some of the issues that arose in Lesson 2 by investigating the shape of a pop-up before and after the book is closed for the first time. They discover that a pop-up mechanism forces a fold to be made at a specific location in the pop-up piece.


For each student:
  • Scissors and tape
  • Ball-point pens and rulers, for making sharp folds. The pens don’t have to write.
  • Parallel-fold Template, printed or photocopied onto 8 ½″ x 11″ cardstock
  • Folders or other containers for saving pop-ups
  • Science notebook


1. Using the template: Provide each student with materials and demonstrate how to assemble the template.
2. The edge view before & after: Then ask students to predict what it will look like from an edge view after they fold it. See a video and diagram showing what happens.
  • Outcome: The book will make a fold in the pop-up. From an edge view, the strip will look like an arch before the book is closed, and like a triangle after the book is closed and then opened completely.
3. Where will it fold? In the next experiment, students add another strip to the book, in a different position. Then they close the book and explore whether the second strip will fold in the same place.
4. Will it respect my fold? Finally, they begin with a folded strip and run an experiment to see whether the book will respect their fold.
  • Outcome: The book will make a second fold, usually in a different place from the first.

The Parallel-fold Template

PF Template.doc

City Technology, The City College of New York, NAC Building 6/207, New York, NY 10031 Tel. 212 650 8389 Fax. 212 650 6268 Email: