Miura
Research through teachingProfessor Koyro Miura discovered new origami patterns by numeric simulation of the crumpling of materials under compression from two directions. The Miura-ori and other folding patterns emerged and refined through design [1]. The bi-directional folds of the regular herringbone variation of the Miura-ori can be seen in the pleated collar in the Portrait of Lucrezia Panciatichi of Uffizi by artist Bronzino. A rigid Miura-ori has a single degree of freedom allowing the design to deploy a space solar panel array [2]. The Miura map fold allows the complete opening and closing of a map by holding two opposite corners [3]. A recent collaboration between Filipov and Tachi resulted in the zipper-tube, a 3D tube-like arrangement of Miura-ori strips creating a highly transformable 3D structure [4]. Yves Klett at the University of Stuttgart uses patterns like the Miura-ori to give extraordinary strength to lightweight sandwich core materials for aeronautics [5].
Portrait of Lucrezia Panciatichi on Wikipedia
References:
[1] Miura, K. (1985). Method of packaging and deployment of large membranes in space. 31st Congr. Int. Astronaut. Federation, IAF- 80-A 31 Tokyo, 31st Congr. Int. Astronaut. Federation, IAF-80-A 31 Tokyo, 1–10.
[2] Ibid.
[3] Miura, K. (1994). Map fold a la Miura style, its physical characteristics and application to the space science. Research of Pattern Formation, 77-90.
[4] Filipov, E. T., Tachi, T., & Paulino, G. H. (2015). Origami tubes assembled into stiff, yet reconfigurable structures and metamaterials. Proceedings of the National Academy of Sciences, 112(40), 12321–12326. https://doi.org/10.1073/pnas.1509465112
[5] Klett, Y., Drechsler, K., Wang-Iverson, P., Lang, R. J., & Yim, M. (2011). Designing technical tessellations. In Origami (Vol. 5, No. ISBN 1568817142, pp. 305-322). CRC Press.
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.
Miura-ori
Geometry: flat/layered
Force: bi-directional compression