ABSTRACT

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.

chapter 1|22 pages

Axisymmetric 3D Origami

chapter 2|14 pages

Extension of Axisymmetric 3D Origami

chapter 3|14 pages

Connecting Axisymmetric 3D Origami Shapes

chapter 4|18 pages

Making Use of Mirror Inversion

chapter 5|16 pages

Application of Mirror Inversion

chapter 6|10 pages

Voronoi Origami

chapter 7|6 pages

Various Origami Designs

chapter 8|4 pages

Conclusion