New principles for auxetic periodic design
classification
🧮 math.MG
keywords
auxeticperiodicframeworksapproachcapabilitiesdeformationsdesigndesigns
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We show that, for any given dimension $d\geq 2$, the range of distinct possible designs for periodic frameworks with auxetic capabilities is infinite. We rely on a purely geometric approach to auxetic trajectories developed within our general theory of deformations of periodic frameworks.
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