By Jun Mitani

Easily Create Origami with Curved Folds and Surfaces

Origami―making shapes purely via folding―reveals a desirable region of geometry woven with quite a few representations. the realm of origami has advanced dramatically because the creation of desktop courses to accomplish the mandatory computations for origami design.

3D Origami Art provides the layout equipment underlying 3D creations derived from computation. It contains a number of images and layout drawings known as crease styles, that are to be had for obtain at the author’s site. in the course of the book’s transparent figures and outlines, readers can simply create geometric 3D buildings out of a collection of strains and curves drawn on a second plane.

The writer makes use of a number of shapes of sheets reminiscent of rectangles and average 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 varieties. notwithstanding, the history conception underlying all of the creations is especially uncomplicated. the writer exhibits how diverse origami types are designed from a typical theory.

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Additional info for 3D origami art

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19 Twist-closing structure on flat-pleat cone type. 19b crease pattern. 15. 8 Solid with Curved Surfaces A solid having smoothly curved surfaces can be created by curving the cross section of an axisymmetric solid. 20, for instance, an arc on the left produces the flatpleat cylinder–type solid on the right. 20 Three-dimensional origami with curved surfaces. developable surfaces. Making this shape with a sheet is not so hard because the task is not folding but bending to form a curved surface. indb 9 9 5/12/16 12:53 PM of paper at the twist closing and results in an awkward shape due to thickness at the overlap.

18 Twist-closing structure on flat-pleat cylinder type. 19 Twist-closing structure on flat-pleat cone type. 19b crease pattern. 15. 8 Solid with Curved Surfaces A solid having smoothly curved surfaces can be created by curving the cross section of an axisymmetric solid. 20, for instance, an arc on the left produces the flatpleat cylinder–type solid on the right. 20 Three-dimensional origami with curved surfaces. developable surfaces. Making this shape with a sheet is not so hard because the task is not folding but bending to form a curved surface.

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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