title: Algorithmic lattice kirigami: A route to pluripotent materials.
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 varying the folding directions.
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104;
authors.forename: Daniel M
authors.initials: DM
authors.lastname: Sussman
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104; Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104.
authors.forename: Yigil
authors.initials: Y
authors.lastname: Cho
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104;
authors.forename: Toen
authors.initials: T
authors.lastname: Castle
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104;
authors.forename: Xingting
authors.initials: X
authors.lastname: Gong
authors.affiliation: Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104.
authors.forename: Euiyeon
authors.initials: E
authors.lastname: Jung
authors.affiliation: Department of Materials Science and Engineering, University of Pennsylvania, Philadelphia, PA 19104.
authors.forename: Shu
authors.initials: S
authors.lastname: Yang
authors.affiliation: Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104; kamien@physics.upenn.edu.
authors.forename: Randall D
authors.initials: RD
authors.lastname: Kamien
keywords: origami; pluripotent; topological defects