ISHIDA SACHIKO    Department   Undergraduate School  , School of Science and Technology    Position   Associate Professor
Language	Japanese
Publication Date	2013/05
Type	Academic Journal
Peer Review	Peer reviewed
Title	Conformal Transformation and Application to Origami Designing (New Method to Generate Crease Patterns of Foldable Circular Membranes)
Contribution Type	Co-authored (first author)
Journal	Transactions of the Japan Society of Mechanical Engineers, Series C
Journal Type	Japan
Publisher	Japan Society of Mechanical Engineers
Volume, Issue, Page	79(801),pp.1561-1569
Authorship	Lead author
Author and coauthor	S. Ishida, T. Nojima, I. Hagiwara
Details	This paper presents a new method using conformal transformation to obtain crease patterns of foldable circular membranes by wrapping around a center. This method enables to design complex structures systematically and efficiently from simple structures, controlling angles among fold lines for maintaining significant advantages of origami foldable and developable at will. It is shown that not only existing designs of foldable circular membranes, which are wrapped up and shaped as regular polygons, and also new designs, which are shaped as polygons with different sides or angles like a rectangle or a diamond shape, are successfully produced by the method. For foldable membranes to radial direction, the new method is more flexible to the designing of zigzag fold lines than the previous method by mirror image, since zigzag fold lines can be generated close to the center of membranes without geometrical constraint. Properties of the produced membranes are discussed in the paper.
DOI	10.1299/kikaic.79.1561
ISSN	1884-8354