Ekaterina Lukasheva
Ekaterina Lukasheva, Ph.D., is a contemporary origami artist and author of three origami books. Her mathematical background helps her to pursue the limits of possibility in folding paper.
Origami tessellations are complex geometrical 3-d structures. These surfaces are made using origami technique, which means only one sheet of paper is folded without stretching, cutting or gluing. These 3-d structures are indeed developable surfaces. This also means that those pieces represent the result of continuous isometric mapping of the flat surface to a 3-dimensional surface. It's hard to believe, but they can be stretched back to a flat sheet at any time. Moreover the collapse/stretch process would be smooth.
Origami tessellation which consists only of curved lines and curved surfaces. It is smoothly expandable and collapsible.
Excentrica origami tessellation has an interesting property referred to as 'iso-area' in origami world. This means that the back (invisible in frame) side of the tessellation is the same as mirrored and rotated front view of the tessellation.