By Jun Mitani

ISBN-10: 1498765351

ISBN-13: 9781498765350

Easily Create Origami with Curved Folds and Surfaces

Origami―making shapes basically via folding―reveals a desirable quarter of geometry woven with various representations. the realm of origami has stepped forward dramatically because the introduction of desktop courses to accomplish the required computations for origami design.

3D Origami Art offers the layout tools underlying 3D creations derived from computation. It contains quite a few images and layout drawings referred to as crease styles, that are on hand for obtain at the author’s web site. in the course of the book’s transparent figures and outlines, readers can simply create geometric 3D constructions out of a collection of strains and curves drawn on a 2nd plane.

The writer makes use of quite a few shapes of sheets corresponding to rectangles and normal polygons, rather than sq. paper, to create the origami. the various origami creations have a 3D constitution composed of curved surfaces, and a few of them have advanced types. in spite of the fact that, the heritage thought underlying all of the creations is especially uncomplicated. the writer exhibits how assorted origami varieties are designed from a typical theory.

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Example text

So the shapes that can be handled are ­limited. 15 (right) with its tip truncated. The crease pattern for this type can be created as follows. 16a. 16b. 15 A 3D-pleat cylinder–type solid shape (projections hit against each other in the left). 16 A 3D-pleat cylinder–type crease pattern structure. 17. 11b. 11b meet. The newly added fold lines are shown by thick solid lines. These are obtained by connecting black circles. Place the black circle so that it divides the line segment with the white square on both ends at the ratio a:b = cosθ:1.

A calculator, rulers, and a pair of compasses may do the task, but why not use a computer? With commercially available CG or CAD software, you can make a 3D shape, arrange configuration faces onto a plane, and apply the methods in this book to draw a 3D origami crease pattern. Still, trial and error in design is a tough thing as each step takes time. So, I have written ­several 3D origami design-dedicated software programs myself. For instance, ORI-REVO has been developed for the easy design of the axisymmetric 3D ­origami shapes presented in Chapters 1 and 2.

15 (right) with its tip truncated. The crease pattern for this type can be created as follows. 16a. 16b. 15 A 3D-pleat cylinder–type solid shape (projections hit against each other in the left). 16 A 3D-pleat cylinder–type crease pattern structure. 17. 11b. 11b meet. The newly added fold lines are shown by thick solid lines. These are obtained by connecting black circles. Place the black circle so that it divides the line segment with the white square on both ends at the ratio a:b = cosθ:1. Set θ to 180°/N, where N is the number of circumferential segments used for making the solid and equals the number of components placed.

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