ABSTRACT

For hundreds of years, origami artists created their designs by drawing on their intuitive understanding of the relationships between folds in paper and the resulting effects on the shape of the latter. Despite the development of formal mathematical techniques in the past few decades, most still do. But now, for many, mathematical methods add to the arsenal of design techniques, and for some classes of shape, mathematical methods are the only way to construct the crease patterns that will give rise to the desired form.