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Behavior under folding of a particular origami-type structure as functions of amount of foldng

From the same paper as the previous 2 images.

Fig. 4:
(a) Front and side views of the closed-loop element, as well as geometrical characteristics of the first-order element. The structural organization of the first-order element (as well as the closed-loop element) can be defined by two constant values related to the topology of the underlying Miura-ori unit, length a and angle α, and one variable angle which can be chosen between β, θ, and ξ representing the structure’s single degree of freedom. (b) Variations of cross-sectional area and volume of the closed-loop element (respectively normalized by a2 and a3) with respect to the folding ratio. (c) Plots of Poisson’s ratio versus folding ratio for in-plane diagonal directions, D1 and D2, while the insets in (b,c) show the folded configurations for α = 75°, 60°. 45°, 30° at the specified points. (d) Rigid-foldability of the closed-loop element under out-of-plane and in-plane loadings (i.e., two orthogonal directions).

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