By design, as shown in Figure 6a(i), a cross-sectional corrugation with amplitude d and half-wavelength is formed at each crease, as shown in Figure 6a(ii). Moreover, L can then be considered as an arc of the cross-sectional corrugation; and n changes the number of creases, thus resulting in a change in the number of half-wavelengths in the cross-sectional corrugation. In the experiment, we ensured that n was equal to the number of half wavelengths by setting the line interval as i/2 between both edges. The remainder of this sub-section discusses the effects of the design parameters, L and n, on the final shape of the SCS. 
First, we investigated the effect of L on the shape of the SCS. Figure 6b presents an example of an SCS designed with = 4 and = 5 mm, 10 mm, and 15 mm. As can be seen from the figure, with an increase in the linewidth, the paper folded more, i.e., the arc length increased, assuming that the curvature was constant for any linewidth. Consequently, the gradient of the straight-line parts joining each arc increased. Therefore, as L increased, the amplitude of the corrugated structure d increased, and the half-wavelength w decreased. Thus, d and w were found to be inversely proportional.
Thereafter, we investigated the effect of n on the shape of the SCS. Figure 6c presents an example of the SCS with L = 15 mm and n = 4, 6, 8, and 10. As shown in Figure 6c, the number of w corresponds to n. In this study, all SCSs were fabricated in A4 size. With an increase in the number of half-wavelengths, the length of paper required to form one half-wavelength decreased. Therefore, as n increased, d and decreased. The length of the paper required to form one half-wavelength wmax is determined by the following equation: