Most traditional origami models fold flat, meaning you could press the model in a book without crumpling it. It turns out that the crease patterns of flat origami models have some very special ...

Programmable stiff sheets with a single low-energy folding motion have been sought in fields ranging from the ancient art of origami to modern meta-materials research. Despite such attention, only two ...

Some 20 years or so, various individuals recognised that the problem of folding a square sheet of paper into an arbitrary 3D shape had many similarities to problems in computational geometry. These ...

A new algorithm generates practical paper-folding patterns to produce any 3-D structure. In a 1999 paper, Erik Demaine -- now an MIT professor of electrical engineering and computer science, but then ...

For such crease patterns to be foldable, each set of vertices around each quadrilateral plate (that is, each ‘Kokotsakis mesh’) must satisfy two compatibility conditions. Labelling the vertices around ...

Origami is the ancient Japanese art of paper folding. One uncut square of paper can, in the hands of an origami artist, be folded into a bird, a frog, a sailboat, or a Japanese samurai helmet beetle.