3D origami art by Jun Mitani

By Jun Mitani

Easily Create Origami with Curved Folds and Surfaces

Origami―making shapes in basic terms via folding―reveals a desirable zone of geometry woven with quite a few representations. the realm of origami has advanced dramatically because the introduction of desktop courses to accomplish the required computations for origami design.

3D Origami Art offers the layout equipment underlying 3D creations derived from computation. It comprises quite a few images and layout drawings referred to as crease styles, that are to be had for obtain at the author’s site. during the book’s transparent figures and outlines, readers can simply create geometric 3D constructions out of a suite of traces and curves drawn on a second plane.

The writer makes use of quite a few shapes of sheets akin to rectangles and ordinary polygons, rather than sq. paper, to create the origami. some of the origami creations have a 3D constitution composed of curved surfaces, and a few of them have complex kinds. although, the heritage conception underlying the entire creations is especially easy. the writer exhibits how diversified origami kinds are designed from a typical theory.

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Indb 30 Extension of Axisymmetric 3D Origami 5/12/16 12:53 PM Twisted Tower This flat-pleat–type origami piece is made from a solid ­having a stepwise cross ­section. At an exhibition, these creations were vertically stacked with a rod for stabilization. For this purpose, the crease pattern has a hole for the rod to go through. With this hole arrangement, the rod exactly runs through the central twist closing. indb 31 31 5/12/16 12:54 PM Two Connected Spheres Two spherical bodies are c­ onnected.

Indb 15 15 5/12/16 12:53 PM “Whipped Cream” Crease Pattern Template The handy size is that the crease pattern’s width fits to that of the A4 sheet in portrait. jp/ book/3d_origami_art/. indb 16 Axisymmetric 3D Origami 5/12/16 12:53 PM 16-Flap Sphere Origami Compared with the eight-flap sphere in “Let’s Make It” (see page 11, this 16-pleat sphere gives a finer impression. The crease pattern is very long because the surface area increases with more pleats. indb 17 17 5/12/16 12:53 PM Egg Wrapping This cute, flat-pleat cone–type creation is achieved by having an egg-shaped solid inside.

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. Therefore, N is 6 in this example. indb 7 7 5/12/16 12:53 PM a b b mountains because the projections should be on the outer surface. 17 Layout of fold lines for making projections on 3D-pleat cylinder type. also place the new point so as to divide the middle horizontal line and the bottom side at the above-mentioned ratio. 16c. A mountain fold line (solid) makes a convex when viewed from outside and a valley fold line (dashed) a concave.

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