2018 Joint Mathematics Meetings
Ekaterina Lukasheva
Artists
Ekaterina Lukasheva (Pavlovic)
Origami artist, software developer
Santa Clara, CA, USA
Statement
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.
Artworks

Energy-D
52 x 52 x 5 cm
Paper
2017

Excentrica
52 x 52 x 5 cm
Paper, spray paint
2017