Figure 2. Kirigami cut geometry and geometric system response.

(a) Response of a Kapton kirigami structure to stretching in the axial direction (ɛ_A) is accompanied by a decrease in sample width (ɛ_T) and a change in feature angle (θ). Also shown are the geometric parameters that define the kirigami structure, namely the cut length (L_C) and spacing between cuts in the transverse (x) and axial (y) directions, which can be expressed in terms of the dimensionless parameters, R₁ and R₂. (b) Schematics of four kirigami structures, where R₁=R₂=3, 5, 10 and 20, along with their corresponding units cells. (c) ɛ_T and θ versus ɛ_A for several kirigami structures where R₁=R₂=3, 5, 10 and 20 (b). Theoretical predictions per equations (1) and (2) are shown by solid lines, while the closed symbols represent experimental data from a 50 μm-thick Kapton sample of the appropriate geometry. While larger R₁ and R₂ enable increased axial strains and correspondingly larger transverse strains, the change in feature angle is independent of cut geometry.