Kinematic analysis on the TMP unit cell. (A) The breadth (\(B\)) is examined as a function of the folding ratio (\(\gamma\)) for the two different $\alpha$ values: \(45\degree\) (yellow) and \(70\degree\) (green). The inset illustrates the cross-sectional geometry change for each folding stage. For \(\alpha=70\degree\), the structure takes its maximum value of \(B\) at the critical folding ratio (\(\gamma_C=0.28\)). (B) This critical folding ratio can be tuned by altering the length ratio (\(d/m\)) and crease angle (\(\alpha\)). The lower black solid curve is the boundary between the configuration with/without the critical transition. The gray area indicates the invalid design parameters due to the self-intersection of TMP facets. The red arrow in the upper inset points to the collision between the side parts.