A Menger Sponge is a three-dimensional fractal curve that has zero volume and infinite surface area. That may be hard to picture, but this MIT News video explains how the Menger Sponge is also an origami project you can make out of folded business cards, and a lot of friends, time, and coordination.
You may recall we recently featured origami in Prof. Erik Demaine’s OCW course 6.849 Geometric Folding Algorithms: Linkages, Origami, Polyhedra. In his video for Class 5 on “Tessellations & Modulars,” Prof. Demaine describes business card-based modular origami, including the Menger Sponge and Jeannine Mosley’s other work. The video ends with a short lesson on building and working with these cubes.