The Yoshimura pattern forms its creases effortlessly. It was discovered in crumpling patterns of aircraft wings by Yoshimaru Yoshimura [1]. The pattern emerges in the sleeves of shirts, on rolls of paper and especially in rolls of textiles. Try pushing together a small arc on a roll of textile and you will see how folds of the Yoshimura pattern spontaneously form. Adjusting the diagonal lines of the pattern controls the curvature of the folded structure. Artist Tomoko Fuse studied various forms of this pattern in her artworks [2]. Interestingly, while the pattern appears compressible, it does, in fact, usually lead to self-intersection. At this point, it tends towards structural stability. Prof. Miura applied the pattern in the aesthetic patterning of drink cans in Japan, for instance [3].

[1] Yoshimura, Y. (1955). On the mechanism of buckling of a circular cylindrical shell under axial compression (Technical Memorandum 1390). National Advisory Committee for Aeronautics.
[2] Miura, K. (1969). Proposition of Pseudo-Cylindrical Concave Polyhedral Shells. ISAS Report, 34(9), 141–163.
[3] Fuse, T., Mulatinho, P., Bungartz, H., & Miura, K. (2012). Spiral: Origami—Art—Design. Viereck-Verlag.

This work is was produced with funding from FWF PEEK Grant AR590 and presented in the Ars Electronica Center Material Lab as part of the 25th Anniversary of the Ars Electronica Futurelab.

Geometry: cylinder
Force: axial compression


Funded through the FWF Austrian Science Fund, PEEK Program, Program Management: Dr. Eugen Banauch.
Gefördert durch den FWF Der Wissenschaftsfonds, Programmlinie PEEK, Programm-Management: Dr. Eugen Banauch.