Geometry of Miura-folded metamaterials

By M. Schenk, Simon D. Guest. Proceedings of the National Academy of Sciences of the United States of America, 2013

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Homogenization of periodic hexa- and tetrachiral cellular solids (2014, background): “, 2000) and origami structures (Schenk and Guest, 2013), as the result of the unfolding of re-entrant cells as they are stretched.”
A three-dimensional actuated origami-inspired transformable metamaterial with multiple degrees of freedom (2016, background): “(1) Start with stiff layer (2) Add tape layer (3) Cut through all (4) Add flexible layer (5) Cut through top layer (6) Cut through all”
A crawling robot driven by multi-stable origami (2017, methodology): “To account for panel bending, a ‘virtual fold’ can be mathematically created between 2 vertices across a bending panel [8, 18].”
Topological modes bound to dislocations in mechanical metamaterials (2014, background): “Equation (2) gives ν =+1 (−1) for the left (right) dislocation in the deformed kagome lattice, and ν =+2 (−2) in the deformed square lattice.”