Posted in Puzzles Games

By Jun Mitani

Easily Create Origami with Curved Folds and Surfaces

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

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

The writer makes use of a variety of shapes of sheets similar to rectangles and ordinary 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 complex types. even if, the historical past concept underlying the entire creations is especially uncomplicated. the writer exhibits how diversified origami types are designed from a standard theory.

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Additional resources for 3D origami art

Sample text

4 for four connectors. A unit like this can be connected at the intersection of an orthogonal grid. 2 Connecting FlatPleat Type On the flat-pleat type, pleats have orientations. 5). This is the same as connecting twist folds on page XIII. 3 A 3D-pleat–type arrangement on tiling pattern. 4 Four-connector units connected. 5 Connecting flat-pleat type. 6. ) The number of connectors is four for squares and three for hexagons. Similar to the 3D-pleat type, the flatpleat–type 3D origami can also be arranged on a plane if the last segment of the cross section is horizontal.

By ­changing the curved line that makes up the cross section, the creation is shaped into a cute pear. The extra, pasted stem may be a violation of the spirit of origami but is a charming point for this creation. indb 19 19 5/12/16 12:53 PM Water Wheel In contrast to the idea of “wrapping a solid,” this ­cylinder opens outward at both ends. The creation has a beautiful curved surface inside and a water wheel–like shape outside. indb 20 Axisymmetric 3D Origami 5/12/16 12:53 PM Gear Wheel Using 3D pleats, this creation is shaped like a machine part.

However, a paper shape in this state is unstable and needs gluing to prevent it from opening up. 18b crease pattern. Extend certain fold lines outside to make allowance for the sheet to overlap after folding. In the actual finishing step, you close the workpiece as you twist it. This stabilizes the shape. As seen in candy boxes, this structure is very useful because it never unfolds itself. In this book, this structure is called a twist closing. 18b. This is the same as the flat-pleat cone type.