We develop equations that describe the three-dimensional shape of a sheet upon which a series of concentric, curved folds have been inscribed. When there is no stretching outside the fold, the three-dimensional shape of a single fold prescribes the shape of the entire origami structure. To better explore these structures and their mechanical properties, we […]
Research
Description of latest research
New paper: The mechanics of origami
When sheet of paper is folded along a closed curve, it buckles dramatically. When cut, it collapses and lies flat. We have developed a mechanical model to explain the shape of an elastic sheet folded along a curve that incorporates the geometric frustration inherent in the folded structure. As the curved fold becomes wider, geometrical […]
New paper: Rising arches in floppy chains
A chain initially lying in a pile is pulled rapidly from one end. A hump of chain forms spontaneously then grows slowly in height. The hump forms at the transition between two distinct regions of chain, one moving rapidly at constant velocity and the other motionless on the table. A chain moving along itself, in […]