miura
Research through teaching
Professor 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.
Miura-ori
Geometry: flat/layered
Force: bi-directional compression