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We investigate combinatorial search and optimizations on tessellations of Tachi-Miura Polyhedron (TMP), origami-based auxetic mechanical metamaterials composed of bellows-like structures. One of the unique features of TMP is that TMP tessellations can achieve various rigid foldable configurations out of one same design of a TMP cell. In this study, we search for the possible combinations of TMP cells by implementing an efficient search algorithm based on graph theory. This combinatorial search method can be exploited to design programmable structures that are adaptive to varying situations of the outer environment.
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Koshiro Yamaguchi, Hiromi Yasuda, Kosei Tsujikawa, Takahiro Kunimine, Jinkyu Yang, "Combinatorial search for auxetic origami tessellations (Conference Presentation)," Proc. SPIE 11381, Health Monitoring of Structural and Biological Systems XIV, 113811C (24 April 2020); https://doi.org/10.1117/12.2558314