Freeform Variations of Origami

This paper presents a novel method to construct a 3D freeform sur- face that can be manufactured by folding a sheet of paper. More specifically, we provide a design system using which the user can intuitively vary a known origami pattern in 3D while preserving the developability and other optional conditions inherent in the original pattern. The system successfully provides 3D origami de- signs that have not been realized thus far.