Abstract:Aiming at the complex changes in the spatial position of the typical crease distribution in the folding process of the non-intersect creases in multi-vertex origami and the influence on the rigid folding characteristics of the origami mechanism, a motion through the decomposition of creases is proposed, a method to determine the position of the crease space and determine the rigid folding characteristics of the origami mechanism. This method first converges the different creases at the same vertex by constructing the parallel creases of the original creases, and determines the position change of the parallel creases according to the rotational movement of the intersect creases, then determines the translation direction and distance of the parallel creases after rotation according to the central polygon, determines the spatial position of the non-intersect creases after transformation, and determines the rigid folding characteristics of the origami mechanism according to the deformation of the folding plane. Through specific parameters, the three-vertex origami crease space position change is verified and analyzed. The results show that this analysis method not only simplifies the calculation process of the non-intersect point crease position in multi-vertex origami, but also paves the way for determining the deformation form of the folding plane when the origami mechanism cannot be folded.