Easily Create Origami with Curved Folds and Surfaces Origami-making shapes only through folding-reveals a fascinating area of geometry woven with a variety of representations. The world of origami has progressed dramatically since the advent of computer programs to perform the necessary computations for origami design. 3D Origami Art presents the design methods underlying 3D creations derived from computation. It includes numerous photos and design drawings called crease patterns, which are available for download on the author's website. Through the book's clear figures and descriptions, readers can easily create geometric 3D structures out of a set of lines and curves drawn on a 2D plane. The author uses various shapes of sheets such as rectangles and regular polygons, instead of square paper, to create the origami. Many of the origami creations have a 3D structure composed of curved surfaces, and some of them have complicated forms. However, the background theory underlying all the creations is very simple. The author shows how different origami forms are designed from a common theory.
Jun Mitani is a professor of information and systems in the Faculty of Engineering at the University of Tsukuba. Dr. Mitani was previously a PRESTO researcher at the Japan Science and Technology Agency, a lecturer in the Department of Computer Science at the University of Tsukuba, and a postdoctoral researcher at RIKEN. His research focuses on computer graphics, including computer-aided origami design techniques. He is the author of the books Spherical Origami and 3D Magic Origami.
Axisymmetric 3D Origami Four Basic Types Basic Crease Patterns Flat-Pleat Cone Type Flat-Pleat Cylinder Type 3D-Pleat Cone Type 3D-Pleat Cylinder Type "Twist Closing" for Closing a Solid Solid with Curved Surfaces Stabilizing a Shape Extension of Axisymmetric 3D Origami Connecting Two 3D Origami Shapes (Cylinder Type) Connecting Different 3D Origami Shapes (Cylinder Type) Connecting Different 3D Origami Shapes (Cone Type) Changing Pleat Orientation (Flat-Pleat Type) Resizing Pleats (Cylinder Type) Connecting Axisymmetric 3D Origami Shapes Connecting and Tiling 3D-Pleat Type on a Plane Connecting Flat-Pleat Type Connecting Different 3D Origami Shapes Making Use of Duality Layering Dual Patterns Making Use of Mirror Inversion Cone-Based 3D Origami Mirror Inversion on a Developable Surface Specifying Mirror Planes by a Polygonal Line Relation between Sweep Locus and Shape Various Shapes Application of Mirror Inversion Curved Fold Units Combined Together Inversion by Oblique Mirror Plane Voronoi Origami Tiling with Different Polygons Origami by Voronoi Tiling Various Origami Designs Conclusion Origami Design Techniques Rigid Origami Curved Folds and Curved Origami Computational Origami Origami with Thick Materials Robots and Origami Relation between Living Things and Origami Origami and Mathematics Origami and Education Application of Origami to Industry Others Index
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