Creating complex spatial objects from a flat sheet of material using origamifolding techniques has attracted attention in science and engineering. In thepresent work, we employ geometric properties of partially folded zigzag stripsto better describe the kinematics of the known zigzag/herringbone-base foldedsheet metamaterials such as the Miura-ori. Inspired by the kinematics of aone-degree of freedom zigzag strip, we introduce a class of cellular foldedsheet mechanical metamaterials comprising different scales of zigzag strips inwhich the class of the patterns combines origami folding techniques withkirigami. Employing both analytical and numerical models, we study the keymechanical properties of the folded materials. Particularly, we show that,depending on the geometry, these materials exhibit both negative and positivein-plane Poisson's ratio. By expanding the design space of the Miura-ori, ourclass of patterns is potentially appropriate for a wide range of applications,from mechanical metamaterials to deployable structures at both small and largescales.
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