Sometimes it’s hard for non-math people to understand how anyone could be so passionate about it, but these tangible examples of mathematical topics make it easy for anyone to see the complex beauty. Using math to understand the laws behind paper folding, Professor Thomas C. Hull has created some origami sculptures that seem impossible. The geometric work above, called Pleated Multi-sliced Cone, was a collaboration between Hull and world renowned origami artist Robert J. Lang. Lang used a computer program called Mathematica to design the concept and crease pattern, which artist Ray Schamp printed on elephant hide paper, them Hull spent around 20 hours, over the course of 2 weeks, folding it into the final structure. In the video below, Hull discusses the implications of origami to show mathematical concepts and projections for the future of origami.[see_also]
The image below is Hull’s visual representation of Eulerian circuits on polyhedral objects, a mathematical pattern topic. Hull has published numerous journal articles and 2 books on the topic of origami and mathematics. See the complete list of his publications on his faculty page for Western New England University.