Abstract
In this paper, a new method is shown to obtain developed patterns of conical origami shells from ones of cylinders by using conformal transformation. It enables to design foldable structures systematically, controlling angles among fold lines for maintaining the advanced function of folding and developing at will. Also, it is described the mathematical interrelation of two-dimensional origami patterns between cylinders and conical shells, and advantages on applying the mathematical technique on designs of origami structures. The method is to help us to imagine and model new foldable structures for future.
