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.
@article{arxiv.1503.07930,
title = {Algorithmic Lattice Kirigami: A Route to Pluripotent Materials},
author = {Daniel M. Sussman and Yigil Cho and Toen Castle and Xingting Gong and Euiyeon Jung and Shu Yang and Randall D. Kamien},
journal= {arXiv preprint arXiv:1503.07930},
year = {2016}
}