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The regular paperfolding sequence corresponds to folding a strip of paper consistently in the same direction. If we allow the direction of the fold to vary at each step we obtain a more general class of sequences. Given a binary sequence (f i), we can define a general paperfolding sequence with folding instructions (f i).
Heighway dragon curve. A dragon curve is any member of a family of self-similar fractal curves, which can be approximated by recursive methods such as Lindenmayer systems.The dragon curve is probably most commonly thought of as the shape that is generated from repeatedly folding a strip of paper in half, although there are other curves that are called dragon curves that are generated differently.
Almost every origami book has basic instructions and a set of folding symbols. The following are books that happen to have detailed explanations of these techniques, and how the techniques are related to each other: David Lister (29 February 2024). "The Origin of Origami Symbols". British Origami Society. Robert J. Lang (1988).
Origami cranes The folding of an Origami crane A group of Japanese schoolchildren dedicate their contribution of Thousand origami cranes at the Sadako Sasaki memorial in Hiroshima. Origami ( 折り紙 , Japanese pronunciation: [oɾiɡami] or [oɾiꜜɡami] , from ori meaning "folding", and kami meaning "paper" ( kami changes to gami due to ...
There are two traditional methods for making polyhedra out of paper: polyhedral nets and modular origami.In the net method, the faces of the polyhedron are placed to form an irregular shape on a flat sheet of paper, with some of these faces connected to each other within this shape; it is cut out and folded into the shape of the polyhedron, and the remaining pairs of faces are attached together.
Satoshi Kamiya (神谷 哲史, Kamiya Satoshi, born June 6, 1981 in Nagoya, Japan) is a Japanese origami artist. Kamiya began folding at age two. Kamiya began designing origami models in 1995, and has since published hundreds of creations. [1] Kamiya has drawn inspiration for his designs from manga, nature, and both eastern and western mythologies.
For some (multi-vertex) folding patterns, it is necessary to curve or bend the paper while transforming it from a flat sheet to its flat-folded state, rather than keeping the rest of the paper flat and only changing the dihedral angles at each fold. For rigid origami (a type of folding that keeps the surface flat except at its folds, suitable ...
The placement of a point on a curved fold in the pattern may require the solution of elliptic integrals. Curved origami allows the paper to form developable surfaces that are not flat. [41] Wet-folding origami is a technique evolved by Yoshizawa that allows curved folds to create an even greater range of shapes of higher order complexity.