Videos

Origami Tessellations as Mathematical Demonstrations

Presenter
August 13, 2025
Abstract
In this workshop, we will fold flat sheets of paper into origami tessellation designs that behave as auxetic metamaterials. Meaning: when pulled left/right, these objects also simultaneously stretch up/down—like multidirectional paper springs. These structures offer a tangible way to understand Poisson's ratio. This behavior is rarely found in nature, and is cumbersome to engineer with traditional mechanical parts, but is useful in applications where compactness, deployability, and minimizing motors is desirable. (In fact, the first design we'll fold has been used in the design of satellites.) Technical origami folds reveal the blurry line between craft and tech. The mechanical movements produced through folding are now being used to solve problems in nanotech and spacecraft—where mechanical engineering can't scale. We will further discuss how the hundreds-of-years-old craft of origami found its way out into orbit, observe how the choreography differs between the different folded tessellations, and daydream about what a world made from fold-function might look like.
Supplementary Materials