Origami traces its origins to an ancient art form transforming flat thin surfaces into various
complex, fabulous 3D objects. Nowadays, such transformation transcends art by offering a …

Transforming flat sheets into three-dimensional structures has emerged as an exciting
manufacturing paradigm on a broad range of length scales. Among other advantages, this …

Origami has served as the inspiration for a number of engineered systems. In most cases,
they require nonpaper materials where material thickness is non-negligible. Foldable …

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the
broad and exciting field of abstract and mathematical origami, most notably the field of …

Origami is emerging as a promising paradigm for deployable structures. The theoretical
analysis on the relationship between geometry of the crease patterns and the induced …

When actuating a rigid origami mechanism by applying moments at the crease lines, we
often confront the bifurcation problem where it is not possible to predict the way the model …

Origami has the potential to impact numerous areas of design and manufacturing. Modeling
and analysis of origami structures allow for the understanding of their behavior and the …

Why is it difficult to refold a previously folded sheet of paper? We show that even crease
patterns with only one designed folding motion inevitably contain an exponential number of …

Origami structures are characterized by a network of folds and vertices joining unbendable
plates. For applications to mechanical design and self-folding structures, it is essential to …

Origami, the art of paper folding, has a rich mathematical theory. Early investigations go
back to at least the 1930s, but the twenty-first century has seen a remarkable blossoming of …