Foldable Condition in a Singular State of a Rigid Origami Model

Abstract

Abstract. This paper shows a formulation of a deformable condition in the singular flat state of a rigid origami model by taking account of the second-order term. The derivation is shown as corresponding to a linkage problem. Finally, the proposed two methods are shown to be applicable for extracting a valid foldable mode with using some examples of crease-pattern on a plane surface.