[2018] Curved-crease origami with multiple states

In Origami 7: Seventh International Meeting of Origami Science, Mathematics, and Education, Vol. 3, 2018, pp. 849-864.

Multistate origami can achieve multiple design objectives within a single sheet. Separately, curved-crease origami imparts non-zero principal curvature in the sheet during folding, an attribute which designers have utilized for range of applications.

This study investigates the intersection of these two pattern families to create multistate curved-crease origami. A primary curved crease surface is generated with the elastica surface extrusion method and then superimposed with ten different secondary crease patterns. A surface error analysis captures the surface variation between designed and manufactured surfaces to give insight into whether secondary creases distort the elastica bending behaviour of the primary surface.