paper

Algorithmic Lattice Kirigami: A Route to Pluripotent Materials

arXiv:1503.07930 · doi:10.1073/pnas.1506048112

Abstract

We use a regular arrangement of kirigami elements to demonstrate an inverse design paradigm for folding a flat surface into complex target configurations. We first present a scheme using arrays of disclination defect pairs on the dual to the honeycomb lattice; by arranging these defect pairs properly with respect to each other and choosing an appropriate fold pattern a target stepped surface can be designed. We then present a more general method that specifies a fixed lattice of kirigami cuts to be performed on a flat sheet. This single "pluripotent" lattice of cuts permits a wide variety of target surfaces to be programmed into the sheet by changing the folding directions.

9 pages, whole megillah

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