Ekaterina Lukasheva

PhD in mathematics, software engineer
San Jose, CA, USA
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.



Excentrica
52 x 52 x 5 cm
Paper, spray paint
2017
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.
Energy-D
52 x 52 x 5 cm
Paper
2017
Origami tessellation which consists only of curved lines and curved surfaces. It is smoothly expandable and collapsible.