ABSTRACT

A universality result shows that, subject to a certain model of folding, everything is possible. For example, any tree-shaped origami base (Section 2.1), any polygonal silhouette (Section 2.3), and any polyhedral surface (Section 2.3) can be folded out of a large enough piece of paper. Universality results often come with efficient algorithms for finding the foldings; pure existence results are rare.