fbpx
Wikipedia

Origami

Origami (折り紙, Japanese pronunciation: [oɾiɡami] or [oɾiꜜɡami], from ori meaning "folding", and kami meaning "paper" (kami changes to gami due to rendaku)) is the Japanese art of paper folding. In modern usage, the word "origami" is often used as an inclusive term for all folding practices, regardless of their culture of origin. The goal is to transform a flat square sheet of paper into a finished sculpture through folding and sculpting techniques. Modern origami practitioners generally discourage the use of cuts, glue, or markings on the paper. Origami folders often use the Japanese word kirigami to refer to designs which use cuts.

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.

In the detailed Japanese classification, origami is divided into stylized ceremonial origami (儀礼折り紙, girei origami) and recreational origami (遊戯折り紙, yūgi origami), and only recreational origami is generally recognized as origami.[1][2] In Japan, ceremonial origami is generally called "origata" (ja:折形) to distinguish it from recreational origami. The term "origata" is one of the old terms for origami.[3][4][5]

The small number of basic origami folds can be combined in a variety of ways to make intricate designs. The best-known origami model is the Japanese paper crane. In general, these designs begin with a square sheet of paper whose sides may be of different colors, prints, or patterns. Traditional Japanese origami, which has been practiced since the Edo period (1603–1868), has often been less strict about these conventions, sometimes cutting the paper or using nonsquare shapes to start with. The principles of origami are also used in stents, packaging, and other engineering applications.[6][7]

Etymology

The Japanese word origami itself is a compound of two smaller Japanese words: "ori" (root verb "oru"), meaning to fold, and "kami", meaning paper. Until recently, not all forms of paper folding were grouped under the word origami. Before that, paper folding for play was known by a variety of names, including "orikata" or "origata" (折形), "orisue" (折据), "orimono" (折物), "tatamigami" (畳紙) and others.[5][8]

History

 
The folding of two origami cranes linked together, from the first known technical book on origami, Hiden senbazuru orikata, published in Japan in 1797

Distinct paperfolding traditions arose in Europe, China, and Japan which have been well-documented by historians. These seem to have been mostly separate traditions, until the 20th century.

Ceremonial origami (origata)

By the 7th century, paper had been introduced to Japan from China via the Korean Peninsula, and the Japanese developed washi by improving the method of making paper in the Heian period. The paper making technique developed in Japan around 805 to 809 was called nagashi-suki (流し漉き), a method of adding mucilage to the process of the conventional tame-suki (溜め漉き) technique to form a stronger layer of paper fibers.[1][2][9][10] With the development of Japanese paper making technology and the widespread use of paper, folded paper began to be used for decorations and tools for religious ceremonies such as gohei, ōnusa (ja:大麻 (神道)) and shide at Shinto shrines. Religious decorations made of paper and the way gifts were wrapped in folded paper gradually became stylized and established as ceremonial origami.[1][2] During the Heian period, the Imperial court established a code of etiquette for wrapping money and goods used in ceremonies with folded paper, and a code of etiquette for wrapping gifts.[3]

 
A modern ceremonial origami (origata) that follows the ceremonial origami of the upper samurai class of the Muromachi period.

In the Muromachi period from the 1300s to the 1400s, various forms of decorum were developed by the Ogasawara clan and Ise clans (ja:伊勢氏), completing the prototype of Japanese folded-paper decorum that continues to this day. The Ise clan presided over the decorum of the inside of the palace of the Ashikaga Shogunate, and in particular, Ise Sadachika (ja:伊勢貞親) during the reign of the eighth Shogun, Ashikaga Yoshimasa (足利義政), greatly influenced the development of the decorum of the daimyo and samurai classes, leading to the development of various stylized forms of ceremonial origami. The shapes of ceremonial origami created in this period were geometric, and the shapes of noshi to be attached to gifts at feasts and weddings, and origami that imitated butterflies to be displayed on sake vessels, were quite different from those of later generations of recreational origami whose shapes captured the characteristics of real objects and living things. The "noshi" wrapping, and the folding of female and male butterflies, which are still used for weddings and celebrations, are a continuation and development of a tradition that began in the Muromachi period.[1][2][11] A reference in a poem by Ihara Saikaku from 1680 describes the origami butterflies used during Shinto weddings to represent the bride and groom.[12]

Recreational origami

1500s-1800s

It is not certain when play-made paper models, now commonly known as origami, began in Japan. However, the kozuka of a Japanese sword made by Gotō Eijō (後藤栄乗) between the end of the 1500s and the beginning of the 1600s was decorated with a picture of a crane made of origami, and it is believed that origami for play existed by the Sengoku period or the early Edo period.[5]

In 1747, during the Edo period, a book titled Ranma zushiki (欄間図式) was published, which contained various designs of the ranma (ja:欄間), a decoration of Japanese architecture. This included origami of various designs, including paper models of cranes, which are still well known today, and it is thought that by this time, many people were familiar with origami for play, which modern people recognize as origami. During this period, origami was commonly called orikata (折形) or orisue (折据) and was often used as a pattern on kimonos and decorations.[5]

 
Hyakkaku (百鶴, One hundred cranes) is one of the works featured in Hiden senbazuru orikata. It is made by folding a single sheet of paper, and its production method has been designated an Intangible Cultural Property of Kuwana City.

Hiden senbazuru orikata (ja:秘傳千羽鶴折形), published in 1797, is the oldest known technical book on origami for play. The book contains 49 origami pieces created by a Buddhist monk named Gidō (:ja:義道) in Ise Province, whose works were named and accompanied by kyōka (狂歌, comic tanka) by author Akisato Ritō (秋里籬島). These pieces were far more technically advanced than their predecessors, suggesting that origami culture had become more sophisticated. Gido continued to produce origami after the publication of his book, leaving at least 158 highly skilled masterpieces for posterity. In 1976, Kuwana City in Mie Prefecture, Gido's hometown, designated 49 of the methods described in the Hiden senbazuru orikata as Intangible Cultural Properties of Kuwana City. Kuwana City has also certified as qualified persons who are able to correctly produce these works and have in-depth knowledge of the art. Kuwana City has published some of the origami production methods on YouTube.[13][14][15]

From the late Edo period to the Bakumatu period, origami that imitated the six legendary Japanese poets, rokkasen (六歌仙) listed in the Kokin Wakashū (古今和歌集) compiled in the 900s and the characters in Chūshingura became popular, but today they are rarely used as subjects for origami.[13]

In Europe, there was a well-developed genre of napkin folding, which flourished during the 17th and 18th centuries. After this period, this genre declined and was mostly forgotten; historian Joan Sallas attributes this to the introduction of porcelain, which replaced complex napkin folds as a dinner-table status symbol among nobility.[16] However, some of the techniques and bases associated with this tradition continued to be a part of European culture; folding was a significant part of Friedrich Fröbel's "Kindergarten" method, and the designs published in connection with his curriculum are stylistically similar to the napkin fold repertoire. Another example of early origami in Europe is the "pajarita," a stylized bird whose origins date from at least the nineteenth century.[17]

Since 1800s

When Japan opened its borders in the 1860s, as part of a modernization strategy, they imported Fröbel's Kindergarten system—and with it, German ideas about paperfolding. This included the ban on cuts, and the starting shape of a bicolored square. These ideas, and some of the European folding repertoire, were integrated into the Japanese tradition. Before this, traditional Japanese sources use a variety of starting shapes, often had cuts, and if they had color or markings, these were added after the model was folded.[18] In Japan, the first kindergarten was established in 1875, and origami was promoted as part of early childhood education. The kindergarten's 1877 regulations listed 25 activities, including origami subjects. Shōkokumin (小国民), a magazine for boys, frequently published articles on origami. Origami Zusetsu (折紙図説), published in 1908, clearly distinguished ceremonial origami from recreational origami. These books and magazines carried both the traditional Japanese style of origami and the style inspired by Fröbel.[8]

In the early 1900s, Akira Yoshizawa, Kosho Uchiyama, and others began creating and recording original origami works. Akira Yoshizawa in particular was responsible for a number of innovations, such as wet-folding and the Yoshizawa–Randlett diagramming system, and his work inspired a renaissance of the art form.[19] During the 1980s a number of folders started systematically studying the mathematical properties of folded forms, which led to a rapid increase in the complexity of origami models.[20]

Starting in the late 20th century, there has been a renewed interest in understanding the behavior of folding matter, both artistically and scientifically. The "new origami," which distinguishes it from old craft practices, has had a rapid evolution due to the contribution of computational mathematics and the development of techniques such as box-pleating, tessellations and wet-folding. Artists like Robert J. Lang, Erik Demaine, Sipho Mabona, Giang Dinh, Paul Jackson, and others, are frequently cited for advancing new applications of the art. The computational facet and the interchanges through social networks, where new techniques and designs are introduced, have raised the profile of origami in the 21st century.[21][22][23]

Techniques and materials

Techniques

 
A list of nine basic origami folds: the valley (or mountain), the pleat, the rabbit ear, the outside reverse, the inside reverse, the crimp, the squash, the sink and the petal

Many origami books begin with a description of basic origami techniques which are used to construct the models. This includes simple diagrams of basic folds like valley and mountain folds, pleats, reverse folds, squash folds, and sinks. There are also standard named bases which are used in a wide variety of models, for instance the bird base is an intermediate stage in the construction of the flapping bird.[24] Additional bases are the preliminary base (square base), fish base, waterbomb base, and the frog base.[25]

Origami paper

 
A crane and papers of the same size used to fold it

Almost any laminar (flat) material can be used for folding; the only requirement is that it should hold a crease.

Origami paper, often referred to as "kami" (Japanese for paper), is sold in prepackaged squares of various sizes ranging from 2.5 cm (1 in) to 25 cm (10 in) or more. It is commonly colored on one side and white on the other; however, dual coloured and patterned versions exist and can be used effectively for color-changed models. Origami paper weighs slightly less than copy paper, making it suitable for a wider range of models.

Normal copy paper with weights of 70–90 g/m2 (19–24 lb) can be used for simple folds, such as the crane and waterbomb. Heavier weight papers of 100 g/m2 (approx. 25 lb) or more can be wet-folded. This technique allows for a more rounded sculpting of the model, which becomes rigid and sturdy when it is dry.

Foil-backed paper, as its name implies, is a sheet of thin foil glued to a sheet of thin paper. Related to this is tissue foil, which is made by gluing a thin piece of tissue paper to kitchen aluminium foil. A second piece of tissue can be glued onto the reverse side to produce a tissue/foil/tissue sandwich. Foil-backed paper is available commercially, but not tissue foil; it must be handmade. Both types of foil materials are suitable for complex models.

Washi (和紙) is the traditional origami paper used in Japan. Washi is generally tougher than ordinary paper made from wood pulp, and is used in many traditional arts. Washi is commonly made using fibres from the bark of the gampi tree, the mitsumata shrub (Edgeworthia papyrifera), or the paper mulberry but can also be made using bamboo, hemp, rice, and wheat.

Artisan papers such as unryu, lokta, hanji[citation needed], gampi, kozo, saa, and abaca have long fibers and are often extremely strong. As these papers are floppy to start with, they are often backcoated or resized with methylcellulose or wheat paste before folding. Also, these papers are extremely thin and compressible, allowing for thin, narrowed limbs as in the case of insect models.

Paper money from various countries is also popular to create origami with; this is known variously as Dollar Origami, Orikane, and Money Origami.

Tools

 
Bone folders

It is common to fold using a flat surface, but some folders like doing it in the air with no tools, especially when displaying the folding.[citation needed] Some folders believe that no tool should be used when folding.[citation needed] However a couple of tools can help especially with the more complex models. For instance a bone folder allows sharp creases to be made in the paper easily, paper clips can act as extra pairs of fingers, and tweezers can be used to make small folds. When making complex models from origami crease patterns, it can help to use a ruler and ballpoint embosser to score the creases. Completed models can be sprayed so that they keep their shape better, and a spray is needed when wet folding.

Types

Action origami

In addition to the more common still-life origami, there are also moving object designs; origami can move. Action origami includes origami that flies, requires inflation to complete, or, when complete, uses the kinetic energy of a person's hands, applied at a certain region on the model, to move another flap or limb. Some argue that, strictly speaking, only the latter is really "recognized" as action origami. Action origami, first appearing with the traditional Japanese flapping bird, is quite common. One example is Robert Lang's instrumentalists; when the figures' heads are pulled away from their bodies, their hands will move, resembling the playing of music.

Modular origami

 
A stellated icosahedron made from custom papers

Modular origami consists of putting a number of identical pieces together to form a complete model. Often the individual pieces are simple, but the final assembly may be more difficult. Many modular origami models are decorative folding balls such as kusudama, which differ from classical origami in that the pieces may be held together using thread or glue.

Chinese paper folding, a cousin of origami, includes a similar style called golden venture folding where large numbers of pieces are put together to create elaborate models. This style is most commonly known as "3D origami". However, that name did not appear until Joie Staff published a series of books titled 3D Origami, More 3D Origami, and More and More 3D Origami.[citation needed] This style originated from some Chinese refugees while they were detained in America and is also called Golden Venture folding from the ship they came on.[citation needed]

Wet-folding

Wet-folding is an origami technique for producing models with gentle curves rather than geometric straight folds and flat surfaces. The paper is dampened so it can be moulded easily, the final model keeps its shape when it dries. It can be used, for instance, to produce very natural looking animal models. Size, an adhesive that is crisp and hard when dry, but dissolves in water when wet and becoming soft and flexible, is often applied to the paper either at the pulp stage while the paper is being formed, or on the surface of a ready sheet of paper. The latter method is called external sizing and most commonly uses Methylcellulose, or MC, paste, or various plant starches.

Pureland origami

Pureland origami adds the restrictions that only simple mountain/valley folds may be used, and all folds must have straightforward locations. It was developed by John Smith in the 1970s to help inexperienced folders or those with limited motor skills. Some designers also like the challenge of creating within the very strict constraints.

Origami tessellations

Origami tessellation is a branch that has grown in popularity after 2000. A tessellation is a collection of figures filling a plane with no gaps or overlaps. In origami tessellations, pleats are used to connect molecules such as twist folds together in a repeating fashion. During the 1960s, Shuzo Fujimoto was the first to explore twist fold tessellations in any systematic way, coming up with dozens of patterns and establishing the genre in the origami mainstream. Around the same time period, Ron Resch patented some tessellation patterns as part of his explorations into kinetic sculpture and developable surfaces, although his work was not known by the origami community until the 1980s. Chris Palmer is an artist who has extensively explored tessellations after seeing the Zilij patterns in the Alhambra, and has found ways to create detailed origami tessellations out of silk. Robert Lang and Alex Bateman are two designers who use computer programs to create origami tessellations. The first international convention devoted to origami tessellations was hosted in Brasília (Brazil) in 2006,[26] and the first instruction book on tessellation folding patterns was published by Eric Gjerde in 2008.[27] Since then, the field has grown very quickly. Tessellation artists include Polly Verity (Scotland); Joel Cooper, Christine Edison, Ray Schamp and Goran Konjevod from the US; Roberto Gretter (Italy); Christiane Bettens (Switzerland); Carlos Natan López (Mexico); and Jorge C. Lucero (Brazil).

Kirigami

Kirigami is a Japanese term for paper cutting. Cutting was often used in traditional Japanese origami, but modern innovations in technique have made the use of cuts unnecessary. Most origami designers no longer consider models with cuts to be origami, instead using the term Kirigami to describe them. This change in attitude occurred during the 1960s and 70s, so early origami books often use cuts, but for the most part they have disappeared from the modern origami repertoire, and most modern books do not even mention cutting.[28]

Strip folding

Strip folding is a combination of paper folding and paper weaving.[29] A common example of strip folding is called the Lucky Star, also called Chinese lucky star, dream star, wishing star, or simply origami star. Another common fold is the Moravian Star which is made by strip folding in 3-dimensional design to include 16 spikes.[29]

Teabag folding

 
Example of folded "tea bag" paper

Teabag folding is credited to Dutch artist Tiny van der Plas, who developed the technique in 1992 as a papercraft art for embellishing greeting cards. It uses small square pieces of paper (e.g., a tea bag wrapper) bearing symmetrical designs that are folded in such a way that they interlock and produce a three-dimensional version of the underlying design. The basic kite fold is used to produce rosettes that are a 3 dimensional version of the 2D design.

The basic rosette design requires eight matching squares to be folded into the 'kite' design. Mathematics teachers find the designs very useful as a practical way of demonstrating some basic properties of symmetry.[citation needed]

Mathematics and technical origami

Mathematics and practical applications

 
Spring Into Action, designed by Jeff Beynon, made from a single rectangular piece of paper[30]

The practice and study of origami encapsulates several subjects of mathematical interest. For instance, the problem of flat-foldability (whether a crease pattern can be folded into a 2-dimensional model) has been a topic of considerable mathematical study.

A number of technological advances have come from insights obtained through paper folding. For example, techniques have been developed for the deployment of car airbags and stent implants from a folded position.[31]

The problem of rigid origami ("if we replaced the paper with sheet metal and had hinges in place of the crease lines, could we still fold the model?") has great practical importance. For example, the Miura map fold is a rigid fold that has been used to deploy large solar panel arrays for space satellites.

Origami can be used to construct various geometrical designs not possible with compass and straightedge constructions. For instance paper folding may be used for angle trisection and doubling the cube.

Technical origami

Technical origami, known in Japanese as origami sekkei (折り紙設計), is an origami design approach in which the model is conceived as an engineered crease pattern, rather than developed through trial-and-error. With advances in origami mathematics, the basic structure of a new origami model can be theoretically plotted out on paper before any actual folding even occurs. This method of origami design was developed by Robert Lang, Meguro Toshiyuki and others, and allows for the creation of extremely complex multi-limbed models such as many-legged centipedes, human figures with a full complement of fingers and toes, and the like.

The crease pattern is a layout of the creases required to form the structure of the model. Paradoxically enough, when origami designers come up with a crease pattern for a new design, the majority of the smaller creases are relatively unimportant and added only towards the completion of the model. What is more important is the allocation of regions of the paper and how these are mapped to the structure of the object being designed. By opening up a folded model, you can observe the structures that comprise it; the study of these structures led to a number of crease-pattern-oriented design approaches

The pattern of allocations is referred to as the 'circle-packing' or 'polygon-packing'. Using optimization algorithms, a circle-packing figure can be computed for any uniaxial base of arbitrary complexity.[32] Once this figure is computed, the creases which are then used to obtain the base structure can be added. This is not a unique mathematical process, hence it is possible for two designs to have the same circle-packing, and yet different crease pattern structures.

As a circle encloses the maximum amount of area for a given perimeter, circle packing allows for maximum efficiency in terms of paper usage. However, other polygonal shapes can be used to solve the packing problem as well. The use of polygonal shapes other than circles is often motivated by the desire to find easily locatable creases (such as multiples of 22.5 degrees) and hence an easier folding sequence as well. One popular offshoot of the circle packing method is box-pleating, where squares are used instead of circles. As a result, the crease pattern that arises from this method contains only 45 and 90 degree angles, which often makes for a more direct folding sequence.

Origami-related computer programs

A number of computer aids to origami such as TreeMaker and Oripa, have been devised.[33] TreeMaker allows new origami bases to be designed for special purposes[34] and Oripa tries to calculate the folded shape from the crease pattern.[35]

Ethics and copyright

Copyright in origami designs and the use of models has become an increasingly important issue in the origami community, as the internet has made the sale and distribution of pirated designs very easy.[36] It is considered good etiquette to always credit the original artist and the folder when displaying origami models. It has been claimed that all commercial rights to designs and models are typically reserved by origami artists; however, the degree to which this can be enforced has been disputed. Under such a view, a person who folds a model using a legally obtained design could publicly display the model unless such rights were specifically reserved, whereas folding a design for money or commercial use of a photo for instance would require consent.[37] The Origami Authors and Creators group was set up to represent the copyright interests of origami artists and facilitate permissions requests.

However, a court in Japan has asserted that the folding method of an origami model "comprises an idea and not a creative expression, and thus is not protected under the copyright law".[38] Further, the court stated that "the method to folding origami is in the public domain; one cannot avoid using the same folding creases or the same arrows to show the direction in which to fold the paper". Therefore, it is legal to redraw the folding instructions of a model of another author even if the redrawn instructions share similarities to the original ones, as long as those similarities are "functional in nature". The redrawn instructions may be published (and even sold) without necessity of any permission from the original author.

Origami in various meanings

 
A Japanese sword authentication paper (Origami) from 1702 that Hon'ami Kōchū certified a tantō made by Yukimitsu in the 14th century as authentic.

From a global perspective, the term 'origami' refers to the folding of paper to shape objects for entertainment purposes, but it has historically been used in various ways in Japan. For example, the term 'origami' also refers to the certificate of authenticity that accompanies a Japanese sword or tea utensil. The people of the Hon'ami clan, who were the authority on Japanese sword appraisal from the Muromachi period to the Edo period, responded to the requests of the shogun, daimyo and samurai by appraising Japanese swords, determining when and by which school the sword was made, whether the inscription on the nakago was genuine or not, and what the price was, and then issuing origami with the results written on it. This has led to the Japanese word 'origami tsuki' (折り紙付き) meaning 'origami is attached' meaning that the quality of the object or the ability of the person is sufficiently high.[39]

The term 'origami' also referred to a specific style of old documents in Japan. The paper folded vertically is called 'tategami' (竪紙), while the paper folded horizontally is called 'origami', and origami has a lower status than tategami. This style of letter began to be used at the end of the Heian period, and in the Kamakura period it was used as a complaint, and origami came to refer to the complaint itself. Furthermore, during the Muromachi period, origami was often used as a command document or a catalog of gifts, and it came to refer to the catalog of gifts itself.[40]

Gallery

These pictures show examples of various types of origami.

In popular culture

  • In House of Cards season 1, episode 6, Claire Underwood gives a homeless man cash, and he later returns it folded into the shape of a bird.[41] Claire then begins making origami animals, and in episode 7 she gives several to Peter Russo for his children.[42]
  • In Blade Runner, Gaff folds origami throughout the movie, and an origami unicorn he folds forms a major plot point.[43]
  • The philosophy and plot of the science fiction story "Ghostweight" by Yoon Ha Lee revolve around origami. In it, origami serves as a metaphor for history: "It is not true that the dead cannot be folded. Square becomes kite becomes swan; history becomes rumor becomes song. Even the act of remembrance creases the truth".[44] A major element of the plot is the weaponry called jerengjen of space mercenaries, which unfold from flat shapes: "In the streets, jerengjen unfolded prettily, expanding into artillery with dragon-shaped shadows and sleek four-legged assault robots with wolf-shaped shadows. In the skies, jerengjen unfolded into bombers with kestrel-shaped shadows." The story says that the word means the art of paper folding in the mercenaries' main language. In an interview, when asked about the subject, the author tells that he became fascinated with dimensions since reading the novel Flatland.[45]
  • In Scooby-Doo! and the Samurai Sword, Scooby and Shaggy learn origami, which proves crucial in finding the Sword of Doom.
  • In Kubo and the Two Strings, the main protagonist Kubo can magically manipulate origami with music from his shamisen.
  • In Naruto Shippuden, Konan, the only female member of the Akatsuki, uses origami jutsu, in which she uses her chakra to bring origami to life and use them as weapons.
  • The 2010 video game Heavy Rain has an antagonist known as the origami killer.
  • In the BBC television program QI, it is reported that origami in the form it is commonly known, where paper is folded without being cut or glued likely originated in Germany and was imported to Japan as late as 1860 when Japan opened its borders (However, it is confirmed that paper cranes using this technique have existed in Japan since the Edo period before 1860).[46]
  • Paper Mario: The Origami King is a 2020 Nintendo Switch game featuring Mario series characters in an origami-themed world.
  • Origami Yoda is a children's book series by Tom Angleberger about a group of middle school students who construct origami finger puppets resembling Star Wars characters.

See also

References

  1. ^ a b c d (in Japanese). Kyushu University Library. Archived from the original on May 7, 2021. Retrieved November 14, 2022.
  2. ^ a b c d (in Japanese). Nippon Origami Association. Archived from the original on November 14, 2022. Retrieved November 14, 2022.
  3. ^ a b (in Japanese). Nikkei, Inc. March 31, 2017. Archived from the original on November 15, 2022. Retrieved November 15, 2022.
  4. ^ (in Japanese). Yamane origata. May 11, 2013. Archived from the original on April 13, 2022. Retrieved November 15, 2022.
  5. ^ a b c d (in Japanese). Kyushu University Library. Archived from the original on May 7, 2021. Retrieved November 14, 2022.
  6. ^ Merali, Zeeya (June 17, 2011), "'Origami Engineer' Flexes to Create Stronger, More Agile Materials", Science, 332 (6036): 1376–1377, Bibcode:2011Sci...332.1376M, doi:10.1126/science.332.6036.1376, PMID 21680824.
  7. ^ "See a NASA Physicist's Incredible Origami" (video). YouTube. March 16, 2017. Retrieved October 29, 2022.
  8. ^ a b (in Japanese). Kyushu University Library. Archived from the original on May 7, 2021. Retrieved November 14, 2022.
  9. ^ (PDF) (in Japanese). Nikkan Kogyo Shimbun. Archived from the original (PDF) on November 25, 2022. Retrieved November 25, 2022.
  10. ^ (in Japanese). Kotobank./Digitalio, Inc./The Asahi Shimbun. Archived from the original on November 25, 2022. Retrieved November 25, 2022.
  11. ^ (in Japanese). Kotobank./Digitalio, Inc./The Asahi Shimbun. Archived from the original on November 14, 2022. Retrieved November 14, 2022.
  12. ^ Hatori Koshiro. "History of Origami". K's Origami. Retrieved January 1, 2010.
  13. ^ a b (in Japanese). Kyushu University Library. Archived from the original on May 7, 2021. Retrieved November 14, 2022.
  14. ^ . Kuwana City/MIRAI NEXT Co., Ltd. Archived from the original on November 18, 2022. Retrieved November 18, 2022.
  15. ^ Wang-Iverson, Patsy (2011). Origami 5: Fifth International Meeting of Origami Science, Mathematics, and Education. A K Peters/CRC Press. ISBN 9781568817149.
  16. ^ Joan Sallas. "Gefaltete Schönheit." 2010.
  17. ^ Lister, David. ""The pajarita"". British origami. Retrieved October 29, 2022.
  18. ^ "History of Origami in the East and West before Interfusion", by Koshiro Hatori. From Origami^5, ed. Patsy Wang Iverson et al. CRC Press 2011.
  19. ^ Margalit Fox (April 2, 2005). "Akira Yoshizawa, 94, Modern Origami Master, Dies". The New York Times.
  20. ^ Lang, Robert J. "Origami Design Secrets" Dover Publications, 2003.
  21. ^ Gould, Vanessa. "Between the Folds, a documentary film".
  22. ^ McArthur, Meher (2012). Folding Paper: The Infinite Possibilities of Origami. Tuttle Publishing. ISBN 978-0804843386.
  23. ^ McArthur, Meher (2020). New Expressions in Origami Art. Tuttle Publishing. ISBN 978-0804853453.
  24. ^ Rick Beech (2009). The Practical Illustrated Encyclopaedia of Origami. Lorenz Books. ISBN 978-0-7548-1982-0.
  25. ^ Jeremy Shafer (2001). Origami to Astonish and Amuse. St. Martin's Griffin. ISBN 0-312-25404-0.
  26. ^ Bettens, Christiane (August 2006). "First origami tessellation convention". Flickr. Retrieved July 20, 2015.
  27. ^ Gjerde, Eric (2008). Origami Tessellations. Taylor & Francis. ISBN 9781568814513.
  28. ^ Lang, Robert J. (2003). Origami Design Secrets. A K Peters. ISBN 1-56881-194-2.
  29. ^ a b "Strip folding". Origami Resource Center. 2018. Retrieved February 19, 2018.
  30. ^ The World of Geometric Toy, Origami Spring, August, 2007.
  31. ^ Cheong Chew and Hiromasa Suziki, Geometrical Properties of Paper Spring, reported in Mamoru Mitsuishi, Kanji Ueda, Fumihiko Kimura, Manufacturing Systems and Technologies for the New Frontier (2008), p. 159.
  32. ^ "TreeMaker". Retrieved October 29, 2022.
  33. ^ Patsy Wang-Iverson; Robert James Lang; Mark Yim, eds. (2010). Origami 5: Fifth International Meeting of Origami Science, Mathematics, and Education. CRC Press. pp. 335–370. ISBN 978-1-56881-714-9.
  34. ^ Lang, Robert. "TreeMaker". Retrieved October 29, 2022.
  35. ^ Mitani, Jun. "ORIPA: Origami Pattern Editor". Retrieved October 29, 2022.
  36. ^ Robinson, Nick (2008). Origami Kit for Dummies. Wiley. pp. 36–38. ISBN 978-0-470-75857-1.
  37. ^ "Origami Copyright Analysis+FAQ" (PDF). OrigamiUSA. 2008. p. 9.
  38. ^ "Japanese Origami Artist Loses Copyright Battle With Japanese Television Station". Keissen Associates. November 21, 2012. Retrieved September 3, 2015.
  39. ^ (in Japanese). Nagoya Touken Museum Touken World. Archived from the original on January 24, 2022. Retrieved November 14, 2022.
  40. ^ (in Japanese). Kotobank./Digitalio, Inc./The Asahi Shimbun. Archived from the original on November 14, 2022. Retrieved November 14, 2022.
  41. ^ "House of Cards: Chapter 6". AV Club. March 8, 2013. Retrieved October 29, 2022.
  42. ^ "House of Cards: Chapter 7". AV Club. March 15, 2022. Retrieved October 29, 2022.
  43. ^ Greenwald, Ted. "Q&A: Ridley Scott Has Finally Created the Blade Runner He Always Imagined". Wired. Retrieved October 29, 2022.
  44. ^ Molly Brown, "King Arthur and the Knights of the Postmodern Fable"; in: The Middle Ages in Popular Culture: Medievalism and Genre – Student Edition, 2015, p. 163
  45. ^ . SF Signal. May 30, 2013. Archived from the original on June 10, 2017. Retrieved March 27, 2017.
  46. ^ Guide, British Comedy. "QI Series O, Episode 10 – Origins And Openings". British Comedy Guide. Retrieved January 13, 2019. The art of folding paper into shapes without cutting it comes from Germany. Origami uses white paper, which can be folded and cut. German kindergartens use paper that is uncut and is coloured on one side, and this came into Japan when the country opened its borders in 1860. Thus what we generally consider origami today in fact has German roots.

Further reading

  • Kunihiko Kasahara (1988). Origami Omnibus: Paper Folding for Everybody. Tokyo: Japan Publications, Inc. ISBN 4-8170-9001-4
    A book for a more advanced origamian; this book presents many more complicated ideas and theories, as well as related topics in geometry and culture, along with model diagrams.
  • Kunihiko Kasahara and Toshie Takahama (1987). Origami for the Connoisseur. Tokyo: Japan Publications, Inc. ISBN 0-87040-670-1
  • Satoshi Kamiya (2005). Works by Satoshi Kamiya, 1995–2003. Tokyo: Origami House
    An extremely complex book for the elite origamian, most models take 100+ steps to complete. Includes his famous Divine Dragon Bahamut and Ancient Dragons. Instructions are in Japanese and English.
  • Kunihiko Kasahara (2001). Extreme Origami. ISBN 0-8069-8853-3
  • Michael LaFosse. Origamido : Masterworks of Paper Folding ISBN 978-1564966391
  • Nick Robinson (2004). Encyclopedia of Origami. Quarto. ISBN 1-84448-025-9. A book full of stimulating designs.

External links

  • GiladOrigami.com, contains many book reviews
  • WikiHow on how to make origami
  • Origami USA, many resources, especially for folders in the USA
  • British Origami Society, many resources, especially for folders in the UK
  • Between the Folds, documentary film about origami and origami artists
  • Lang, Robert (February 2008). . TED ED. Archived from the original (video) on September 11, 2013. Retrieved April 6, 2013.
  • Robert Lang (March 16, 2017). "See a NASA Physicist's Incredible Origami" (video). YouTube. Retrieved October 29, 2022.
  • Engineering with Origami, YouTube video by Veritasium about uses of origami for structural engineering

origami, paper, folding, redirects, here, other, uses, term, paper, folding, disambiguation, other, uses, disambiguation, 折り紙, japanese, pronunciation, oɾiɡami, oɾiꜜɡami, from, meaning, folding, kami, meaning, paper, kami, changes, gami, rendaku, japanese, pap. Paper folding redirects here For other uses of the term see Paper folding disambiguation For other uses of Origami see Origami disambiguation Origami 折り紙 Japanese pronunciation oɾiɡami or oɾiꜜɡami from ori meaning folding and kami meaning paper kami changes to gami due to rendaku is the Japanese art of paper folding In modern usage the word origami is often used as an inclusive term for all folding practices regardless of their culture of origin The goal is to transform a flat square sheet of paper into a finished sculpture through folding and sculpting techniques Modern origami practitioners generally discourage the use of cuts glue or markings on the paper Origami folders often use the Japanese word kirigami to refer to designs which use cuts Origami cranes source source source source The folding of an Origami craneA group of Japanese schoolchildren dedicate their contribution of Thousand origami cranes at the Sadako Sasaki memorial in Hiroshima In the detailed Japanese classification origami is divided into stylized ceremonial origami 儀礼折り紙 girei origami and recreational origami 遊戯折り紙 yugi origami and only recreational origami is generally recognized as origami 1 2 In Japan ceremonial origami is generally called origata ja 折形 to distinguish it from recreational origami The term origata is one of the old terms for origami 3 4 5 The small number of basic origami folds can be combined in a variety of ways to make intricate designs The best known origami model is the Japanese paper crane In general these designs begin with a square sheet of paper whose sides may be of different colors prints or patterns Traditional Japanese origami which has been practiced since the Edo period 1603 1868 has often been less strict about these conventions sometimes cutting the paper or using nonsquare shapes to start with The principles of origami are also used in stents packaging and other engineering applications 6 7 Contents 1 Etymology 2 History 2 1 Ceremonial origami origata 2 2 Recreational origami 2 2 1 1500s 1800s 2 2 2 Since 1800s 3 Techniques and materials 3 1 Techniques 3 2 Origami paper 3 3 Tools 4 Types 4 1 Action origami 4 2 Modular origami 4 3 Wet folding 4 4 Pureland origami 4 5 Origami tessellations 4 6 Kirigami 4 7 Strip folding 4 8 Teabag folding 5 Mathematics and technical origami 5 1 Mathematics and practical applications 5 2 Technical origami 5 3 Origami related computer programs 6 Ethics and copyright 7 Origami in various meanings 8 Gallery 9 In popular culture 10 See also 11 References 12 Further reading 13 External linksEtymologyThe Japanese word origami itself is a compound of two smaller Japanese words ori root verb oru meaning to fold and kami meaning paper Until recently not all forms of paper folding were grouped under the word origami Before that paper folding for play was known by a variety of names including orikata or origata 折形 orisue 折据 orimono 折物 tatamigami 畳紙 and others 5 8 HistoryMain article History of origami nbsp The folding of two origami cranes linked together from the first known technical book on origami Hiden senbazuru orikata published in Japan in 1797Distinct paperfolding traditions arose in Europe China and Japan which have been well documented by historians These seem to have been mostly separate traditions until the 20th century Ceremonial origami origata By the 7th century paper had been introduced to Japan from China via the Korean Peninsula and the Japanese developed washi by improving the method of making paper in the Heian period The paper making technique developed in Japan around 805 to 809 was called nagashi suki 流し漉き a method of adding mucilage to the process of the conventional tame suki 溜め漉き technique to form a stronger layer of paper fibers 1 2 9 10 With the development of Japanese paper making technology and the widespread use of paper folded paper began to be used for decorations and tools for religious ceremonies such as gohei ōnusa ja 大麻 神道 and shide at Shinto shrines Religious decorations made of paper and the way gifts were wrapped in folded paper gradually became stylized and established as ceremonial origami 1 2 During the Heian period the Imperial court established a code of etiquette for wrapping money and goods used in ceremonies with folded paper and a code of etiquette for wrapping gifts 3 nbsp A modern ceremonial origami origata that follows the ceremonial origami of the upper samurai class of the Muromachi period In the Muromachi period from the 1300s to the 1400s various forms of decorum were developed by the Ogasawara clan and Ise clans ja 伊勢氏 completing the prototype of Japanese folded paper decorum that continues to this day The Ise clan presided over the decorum of the inside of the palace of the Ashikaga Shogunate and in particular Ise Sadachika ja 伊勢貞親 during the reign of the eighth Shogun Ashikaga Yoshimasa 足利義政 greatly influenced the development of the decorum of the daimyo and samurai classes leading to the development of various stylized forms of ceremonial origami The shapes of ceremonial origami created in this period were geometric and the shapes of noshi to be attached to gifts at feasts and weddings and origami that imitated butterflies to be displayed on sake vessels were quite different from those of later generations of recreational origami whose shapes captured the characteristics of real objects and living things The noshi wrapping and the folding of female and male butterflies which are still used for weddings and celebrations are a continuation and development of a tradition that began in the Muromachi period 1 2 11 A reference in a poem by Ihara Saikaku from 1680 describes the origami butterflies used during Shinto weddings to represent the bride and groom 12 Recreational origami 1500s 1800s It is not certain when play made paper models now commonly known as origami began in Japan However the kozuka of a Japanese sword made by Gotō Eijō 後藤栄乗 between the end of the 1500s and the beginning of the 1600s was decorated with a picture of a crane made of origami and it is believed that origami for play existed by the Sengoku period or the early Edo period 5 In 1747 during the Edo period a book titled Ranma zushiki 欄間図式 was published which contained various designs of the ranma ja 欄間 a decoration of Japanese architecture This included origami of various designs including paper models of cranes which are still well known today and it is thought that by this time many people were familiar with origami for play which modern people recognize as origami During this period origami was commonly called orikata 折形 or orisue 折据 and was often used as a pattern on kimonos and decorations 5 nbsp Hyakkaku 百鶴 One hundred cranes is one of the works featured in Hiden senbazuru orikata It is made by folding a single sheet of paper and its production method has been designated an Intangible Cultural Property of Kuwana City Hiden senbazuru orikata ja 秘傳千羽鶴折形 published in 1797 is the oldest known technical book on origami for play The book contains 49 origami pieces created by a Buddhist monk named Gidō ja 義道 in Ise Province whose works were named and accompanied by kyōka 狂歌 comic tanka by author Akisato Ritō 秋里籬島 These pieces were far more technically advanced than their predecessors suggesting that origami culture had become more sophisticated Gido continued to produce origami after the publication of his book leaving at least 158 highly skilled masterpieces for posterity In 1976 Kuwana City in Mie Prefecture Gido s hometown designated 49 of the methods described in the Hiden senbazuru orikata as Intangible Cultural Properties of Kuwana City Kuwana City has also certified as qualified persons who are able to correctly produce these works and have in depth knowledge of the art Kuwana City has published some of the origami production methods on YouTube 13 14 15 From the late Edo period to the Bakumatu period origami that imitated the six legendary Japanese poets rokkasen 六歌仙 listed in the Kokin Wakashu 古今和歌集 compiled in the 900s and the characters in Chushingura became popular but today they are rarely used as subjects for origami 13 In Europe there was a well developed genre of napkin folding which flourished during the 17th and 18th centuries After this period this genre declined and was mostly forgotten historian Joan Sallas attributes this to the introduction of porcelain which replaced complex napkin folds as a dinner table status symbol among nobility 16 However some of the techniques and bases associated with this tradition continued to be a part of European culture folding was a significant part of Friedrich Frobel s Kindergarten method and the designs published in connection with his curriculum are stylistically similar to the napkin fold repertoire Another example of early origami in Europe is the pajarita a stylized bird whose origins date from at least the nineteenth century 17 Since 1800s When Japan opened its borders in the 1860s as part of a modernization strategy they imported Frobel s Kindergarten system and with it German ideas about paperfolding This included the ban on cuts and the starting shape of a bicolored square These ideas and some of the European folding repertoire were integrated into the Japanese tradition Before this traditional Japanese sources use a variety of starting shapes often had cuts and if they had color or markings these were added after the model was folded 18 In Japan the first kindergarten was established in 1875 and origami was promoted as part of early childhood education The kindergarten s 1877 regulations listed 25 activities including origami subjects Shōkokumin 小国民 a magazine for boys frequently published articles on origami Origami Zusetsu 折紙図説 published in 1908 clearly distinguished ceremonial origami from recreational origami These books and magazines carried both the traditional Japanese style of origami and the style inspired by Frobel 8 In the early 1900s Akira Yoshizawa Kosho Uchiyama and others began creating and recording original origami works Akira Yoshizawa in particular was responsible for a number of innovations such as wet folding and the Yoshizawa Randlett diagramming system and his work inspired a renaissance of the art form 19 During the 1980s a number of folders started systematically studying the mathematical properties of folded forms which led to a rapid increase in the complexity of origami models 20 Starting in the late 20th century there has been a renewed interest in understanding the behavior of folding matter both artistically and scientifically The new origami which distinguishes it from old craft practices has had a rapid evolution due to the contribution of computational mathematics and the development of techniques such as box pleating tessellations and wet folding Artists like Robert J Lang Erik Demaine Sipho Mabona Giang Dinh Paul Jackson and others are frequently cited for advancing new applications of the art The computational facet and the interchanges through social networks where new techniques and designs are introduced have raised the profile of origami in the 21st century 21 22 23 Techniques and materialsTechniques nbsp A list of nine basic origami folds the valley or mountain the pleat the rabbit ear the outside reverse the inside reverse the crimp the squash the sink and the petalMain article Yoshizawa Randlett system Many origami books begin with a description of basic origami techniques which are used to construct the models This includes simple diagrams of basic folds like valley and mountain folds pleats reverse folds squash folds and sinks There are also standard named bases which are used in a wide variety of models for instance the bird base is an intermediate stage in the construction of the flapping bird 24 Additional bases are the preliminary base square base fish base waterbomb base and the frog base 25 Origami paper Main article Origami paper nbsp A crane and papers of the same size used to fold itAlmost any laminar flat material can be used for folding the only requirement is that it should hold a crease Origami paper often referred to as kami Japanese for paper is sold in prepackaged squares of various sizes ranging from 2 5 cm 1 in to 25 cm 10 in or more It is commonly colored on one side and white on the other however dual coloured and patterned versions exist and can be used effectively for color changed models Origami paper weighs slightly less than copy paper making it suitable for a wider range of models Normal copy paper with weights of 70 90 g m2 19 24 lb can be used for simple folds such as the crane and waterbomb Heavier weight papers of 100 g m2 approx 25 lb or more can be wet folded This technique allows for a more rounded sculpting of the model which becomes rigid and sturdy when it is dry Foil backed paper as its name implies is a sheet of thin foil glued to a sheet of thin paper Related to this is tissue foil which is made by gluing a thin piece of tissue paper to kitchen aluminium foil A second piece of tissue can be glued onto the reverse side to produce a tissue foil tissue sandwich Foil backed paper is available commercially but not tissue foil it must be handmade Both types of foil materials are suitable for complex models Washi 和紙 is the traditional origami paper used in Japan Washi is generally tougher than ordinary paper made from wood pulp and is used in many traditional arts Washi is commonly made using fibres from the bark of the gampi tree the mitsumata shrub Edgeworthia papyrifera or the paper mulberry but can also be made using bamboo hemp rice and wheat Artisan papers such as unryu lokta hanji citation needed gampi kozo saa and abaca have long fibers and are often extremely strong As these papers are floppy to start with they are often backcoated or resized with methylcellulose or wheat paste before folding Also these papers are extremely thin and compressible allowing for thin narrowed limbs as in the case of insect models Paper money from various countries is also popular to create origami with this is known variously as Dollar Origami Orikane and Money Origami Tools nbsp Bone foldersIt is common to fold using a flat surface but some folders like doing it in the air with no tools especially when displaying the folding citation needed Some folders believe that no tool should be used when folding citation needed However a couple of tools can help especially with the more complex models For instance a bone folder allows sharp creases to be made in the paper easily paper clips can act as extra pairs of fingers and tweezers can be used to make small folds When making complex models from origami crease patterns it can help to use a ruler and ballpoint embosser to score the creases Completed models can be sprayed so that they keep their shape better and a spray is needed when wet folding TypesAction origami Main article Action origami In addition to the more common still life origami there are also moving object designs origami can move Action origami includes origami that flies requires inflation to complete or when complete uses the kinetic energy of a person s hands applied at a certain region on the model to move another flap or limb Some argue that strictly speaking only the latter is really recognized as action origami Action origami first appearing with the traditional Japanese flapping bird is quite common One example is Robert Lang s instrumentalists when the figures heads are pulled away from their bodies their hands will move resembling the playing of music Modular origami nbsp A stellated icosahedron made from custom papersMain article Modular origami Modular origami consists of putting a number of identical pieces together to form a complete model Often the individual pieces are simple but the final assembly may be more difficult Many modular origami models are decorative folding balls such as kusudama which differ from classical origami in that the pieces may be held together using thread or glue Chinese paper folding a cousin of origami includes a similar style called golden venture folding where large numbers of pieces are put together to create elaborate models This style is most commonly known as 3D origami However that name did not appear until Joie Staff published a series of books titled 3D Origami More 3D Origami and More and More 3D Origami citation needed This style originated from some Chinese refugees while they were detained in America and is also called Golden Venture folding from the ship they came on citation needed Wet folding Main article Wet folding Wet folding is an origami technique for producing models with gentle curves rather than geometric straight folds and flat surfaces The paper is dampened so it can be moulded easily the final model keeps its shape when it dries It can be used for instance to produce very natural looking animal models Size an adhesive that is crisp and hard when dry but dissolves in water when wet and becoming soft and flexible is often applied to the paper either at the pulp stage while the paper is being formed or on the surface of a ready sheet of paper The latter method is called external sizing and most commonly uses Methylcellulose or MC paste or various plant starches Pureland origami Main article Pureland origami Pureland origami adds the restrictions that only simple mountain valley folds may be used and all folds must have straightforward locations It was developed by John Smith in the 1970s to help inexperienced folders or those with limited motor skills Some designers also like the challenge of creating within the very strict constraints Origami tessellations Origami tessellation is a branch that has grown in popularity after 2000 A tessellation is a collection of figures filling a plane with no gaps or overlaps In origami tessellations pleats are used to connect molecules such as twist folds together in a repeating fashion During the 1960s Shuzo Fujimoto was the first to explore twist fold tessellations in any systematic way coming up with dozens of patterns and establishing the genre in the origami mainstream Around the same time period Ron Resch patented some tessellation patterns as part of his explorations into kinetic sculpture and developable surfaces although his work was not known by the origami community until the 1980s Chris Palmer is an artist who has extensively explored tessellations after seeing the Zilij patterns in the Alhambra and has found ways to create detailed origami tessellations out of silk Robert Lang and Alex Bateman are two designers who use computer programs to create origami tessellations The first international convention devoted to origami tessellations was hosted in Brasilia Brazil in 2006 26 and the first instruction book on tessellation folding patterns was published by Eric Gjerde in 2008 27 Since then the field has grown very quickly Tessellation artists include Polly Verity Scotland Joel Cooper Christine Edison Ray Schamp and Goran Konjevod from the US Roberto Gretter Italy Christiane Bettens Switzerland Carlos Natan Lopez Mexico and Jorge C Lucero Brazil Kirigami Main article Kirigami Kirigami is a Japanese term for paper cutting Cutting was often used in traditional Japanese origami but modern innovations in technique have made the use of cuts unnecessary Most origami designers no longer consider models with cuts to be origami instead using the term Kirigami to describe them This change in attitude occurred during the 1960s and 70s so early origami books often use cuts but for the most part they have disappeared from the modern origami repertoire and most modern books do not even mention cutting 28 Strip folding Strip folding is a combination of paper folding and paper weaving 29 A common example of strip folding is called the Lucky Star also called Chinese lucky star dream star wishing star or simply origami star Another common fold is the Moravian Star which is made by strip folding in 3 dimensional design to include 16 spikes 29 Teabag folding nbsp Example of folded tea bag paperTeabag folding is credited to Dutch artist Tiny van der Plas who developed the technique in 1992 as a papercraft art for embellishing greeting cards It uses small square pieces of paper e g a tea bag wrapper bearing symmetrical designs that are folded in such a way that they interlock and produce a three dimensional version of the underlying design The basic kite fold is used to produce rosettes that are a 3 dimensional version of the 2D design The basic rosette design requires eight matching squares to be folded into the kite design Mathematics teachers find the designs very useful as a practical way of demonstrating some basic properties of symmetry citation needed Mathematics and technical origamiMathematics and practical applications nbsp Spring Into Action designed by Jeff Beynon made from a single rectangular piece of paper 30 Main article Mathematics of paper folding The practice and study of origami encapsulates several subjects of mathematical interest For instance the problem of flat foldability whether a crease pattern can be folded into a 2 dimensional model has been a topic of considerable mathematical study A number of technological advances have come from insights obtained through paper folding For example techniques have been developed for the deployment of car airbags and stent implants from a folded position 31 The problem of rigid origami if we replaced the paper with sheet metal and had hinges in place of the crease lines could we still fold the model has great practical importance For example the Miura map fold is a rigid fold that has been used to deploy large solar panel arrays for space satellites Origami can be used to construct various geometrical designs not possible with compass and straightedge constructions For instance paper folding may be used for angle trisection and doubling the cube Technical origami Technical origami known in Japanese as origami sekkei 折り紙設計 is an origami design approach in which the model is conceived as an engineered crease pattern rather than developed through trial and error With advances in origami mathematics the basic structure of a new origami model can be theoretically plotted out on paper before any actual folding even occurs This method of origami design was developed by Robert Lang Meguro Toshiyuki and others and allows for the creation of extremely complex multi limbed models such as many legged centipedes human figures with a full complement of fingers and toes and the like The crease pattern is a layout of the creases required to form the structure of the model Paradoxically enough when origami designers come up with a crease pattern for a new design the majority of the smaller creases are relatively unimportant and added only towards the completion of the model What is more important is the allocation of regions of the paper and how these are mapped to the structure of the object being designed By opening up a folded model you can observe the structures that comprise it the study of these structures led to a number of crease pattern oriented design approachesThe pattern of allocations is referred to as the circle packing or polygon packing Using optimization algorithms a circle packing figure can be computed for any uniaxial base of arbitrary complexity 32 Once this figure is computed the creases which are then used to obtain the base structure can be added This is not a unique mathematical process hence it is possible for two designs to have the same circle packing and yet different crease pattern structures As a circle encloses the maximum amount of area for a given perimeter circle packing allows for maximum efficiency in terms of paper usage However other polygonal shapes can be used to solve the packing problem as well The use of polygonal shapes other than circles is often motivated by the desire to find easily locatable creases such as multiples of 22 5 degrees and hence an easier folding sequence as well One popular offshoot of the circle packing method is box pleating where squares are used instead of circles As a result the crease pattern that arises from this method contains only 45 and 90 degree angles which often makes for a more direct folding sequence Origami related computer programs A number of computer aids to origami such as TreeMaker and Oripa have been devised 33 TreeMaker allows new origami bases to be designed for special purposes 34 and Oripa tries to calculate the folded shape from the crease pattern 35 Ethics and copyrightCopyright in origami designs and the use of models has become an increasingly important issue in the origami community as the internet has made the sale and distribution of pirated designs very easy 36 It is considered good etiquette to always credit the original artist and the folder when displaying origami models It has been claimed that all commercial rights to designs and models are typically reserved by origami artists however the degree to which this can be enforced has been disputed Under such a view a person who folds a model using a legally obtained design could publicly display the model unless such rights were specifically reserved whereas folding a design for money or commercial use of a photo for instance would require consent 37 The Origami Authors and Creators group was set up to represent the copyright interests of origami artists and facilitate permissions requests However a court in Japan has asserted that the folding method of an origami model comprises an idea and not a creative expression and thus is not protected under the copyright law 38 Further the court stated that the method to folding origami is in the public domain one cannot avoid using the same folding creases or the same arrows to show the direction in which to fold the paper Therefore it is legal to redraw the folding instructions of a model of another author even if the redrawn instructions share similarities to the original ones as long as those similarities are functional in nature The redrawn instructions may be published and even sold without necessity of any permission from the original author Origami in various meanings nbsp A Japanese sword authentication paper Origami from 1702 that Hon ami Kōchu certified a tantō made by Yukimitsu in the 14th century as authentic From a global perspective the term origami refers to the folding of paper to shape objects for entertainment purposes but it has historically been used in various ways in Japan For example the term origami also refers to the certificate of authenticity that accompanies a Japanese sword or tea utensil The people of the Hon ami clan who were the authority on Japanese sword appraisal from the Muromachi period to the Edo period responded to the requests of the shogun daimyo and samurai by appraising Japanese swords determining when and by which school the sword was made whether the inscription on the nakago was genuine or not and what the price was and then issuing origami with the results written on it This has led to the Japanese word origami tsuki 折り紙付き meaning origami is attached meaning that the quality of the object or the ability of the person is sufficiently high 39 The term origami also referred to a specific style of old documents in Japan The paper folded vertically is called tategami 竪紙 while the paper folded horizontally is called origami and origami has a lower status than tategami This style of letter began to be used at the end of the Heian period and in the Kamakura period it was used as a complaint and origami came to refer to the complaint itself Furthermore during the Muromachi period origami was often used as a command document or a catalog of gifts and it came to refer to the catalog of gifts itself 40 GalleryThese pictures show examples of various types of origami nbsp Dollar bill elephant an example of moneygami nbsp Kawasaki rose using the twist fold devised by Toshikazu Kawasaki The calyx is made separately nbsp Kawasaki cube an example of an iso area model nbsp A wet folded bull nbsp A challenging miniature version of a paper crane nbsp Two examples of modular origami nbsp An example of origami bonsai nbsp Smart Waterbomb using circular paper and curved folds nbsp Flamenco dancers made using a wet fold and twisting tying technique nbsp Chinese Golden Venture swansIn popular cultureIn House of Cards season 1 episode 6 Claire Underwood gives a homeless man cash and he later returns it folded into the shape of a bird 41 Claire then begins making origami animals and in episode 7 she gives several to Peter Russo for his children 42 In Blade Runner Gaff folds origami throughout the movie and an origami unicorn he folds forms a major plot point 43 The philosophy and plot of the science fiction story Ghostweight by Yoon Ha Lee revolve around origami In it origami serves as a metaphor for history It is not true that the dead cannot be folded Square becomes kite becomes swan history becomes rumor becomes song Even the act of remembrance creases the truth 44 A major element of the plot is the weaponry called jerengjen of space mercenaries which unfold from flat shapes In the streets jerengjen unfolded prettily expanding into artillery with dragon shaped shadows and sleek four legged assault robots with wolf shaped shadows In the skies jerengjen unfolded into bombers with kestrel shaped shadows The story says that the word means the art of paper folding in the mercenaries main language In an interview when asked about the subject the author tells that he became fascinated with dimensions since reading the novel Flatland 45 In Scooby Doo and the Samurai Sword Scooby and Shaggy learn origami which proves crucial in finding the Sword of Doom In Kubo and the Two Strings the main protagonist Kubo can magically manipulate origami with music from his shamisen In Naruto Shippuden Konan the only female member of the Akatsuki uses origami jutsu in which she uses her chakra to bring origami to life and use them as weapons The 2010 video game Heavy Rain has an antagonist known as the origami killer In the BBC television program QI it is reported that origami in the form it is commonly known where paper is folded without being cut or glued likely originated in Germany and was imported to Japan as late as 1860 when Japan opened its borders However it is confirmed that paper cranes using this technique have existed in Japan since the Edo period before 1860 46 Paper Mario The Origami King is a 2020 Nintendo Switch game featuring Mario series characters in an origami themed world Origami Yoda is a children s book series by Tom Angleberger about a group of middle school students who construct origami finger puppets resembling Star Wars characters See alsoFold forming Furoshiki Japanese art List of origamists Origamic architecture Paper craft Paper fortune teller Paper plane Pop up bookReferences a b c d 折り紙の歴史と現在 前史 in Japanese Kyushu University Library Archived from the original on May 7 2021 Retrieved November 14 2022 a b c d おりがみの歴史 History of origami in Japanese Nippon Origami Association Archived from the original on November 14 2022 Retrieved November 14 2022 a b 喜びの気持ちを自分で包む 結ぶ 折形 の実践入門 in Japanese Nikkei Inc March 31 2017 Archived from the original on November 15 2022 Retrieved November 15 2022 折形 おりがた について in Japanese Yamane origata May 11 2013 Archived from the original on April 13 2022 Retrieved November 15 2022 a b c d 折り紙の歴史と現在 戦国 江戸中期 in Japanese Kyushu University Library Archived from the original on May 7 2021 Retrieved November 14 2022 Merali Zeeya June 17 2011 Origami Engineer Flexes to Create Stronger More Agile Materials Science 332 6036 1376 1377 Bibcode 2011Sci 332 1376M doi 10 1126 science 332 6036 1376 PMID 21680824 See a NASA Physicist s Incredible Origami video YouTube March 16 2017 Retrieved October 29 2022 a b 折り紙の歴史と現在 明治 大正 in Japanese Kyushu University Library Archived from the original on May 7 2021 Retrieved November 14 2022 第1章 折り紙の姿 PDF in Japanese Nikkan Kogyo Shimbun Archived from the original PDF on November 25 2022 Retrieved November 25 2022 流し漉き in Japanese Kotobank Digitalio Inc The Asahi Shimbun Archived from the original on November 25 2022 Retrieved November 25 2022 蝶花形 in Japanese Kotobank Digitalio Inc The Asahi Shimbun Archived from the original on November 14 2022 Retrieved November 14 2022 Hatori Koshiro History of Origami K s Origami Retrieved January 1 2010 a b 折り紙の歴史と現在 江戸後期 幕末 in Japanese Kyushu University Library Archived from the original on May 7 2021 Retrieved November 14 2022 Paper Cranes that connect People Kuwana City MIRAI NEXT Co Ltd Archived from the original on November 18 2022 Retrieved November 18 2022 Wang Iverson Patsy 2011 Origami 5 Fifth International Meeting of Origami Science Mathematics and Education A K Peters CRC Press ISBN 9781568817149 Joan Sallas Gefaltete Schonheit 2010 Lister David The pajarita British origami Retrieved October 29 2022 History of Origami in the East and West before Interfusion by Koshiro Hatori From Origami 5 ed Patsy Wang Iverson et al CRC Press 2011 Margalit Fox April 2 2005 Akira Yoshizawa 94 Modern Origami Master Dies The New York Times Lang Robert J Origami Design Secrets Dover Publications 2003 Gould Vanessa Between the Folds a documentary film McArthur Meher 2012 Folding Paper The Infinite Possibilities of Origami Tuttle Publishing ISBN 978 0804843386 McArthur Meher 2020 New Expressions in Origami Art Tuttle Publishing ISBN 978 0804853453 Rick Beech 2009 The Practical Illustrated Encyclopaedia of Origami Lorenz Books ISBN 978 0 7548 1982 0 Jeremy Shafer 2001 Origami to Astonish and Amuse St Martin s Griffin ISBN 0 312 25404 0 Bettens Christiane August 2006 First origami tessellation convention Flickr Retrieved July 20 2015 Gjerde Eric 2008 Origami Tessellations Taylor amp Francis ISBN 9781568814513 Lang Robert J 2003 Origami Design Secrets A K Peters ISBN 1 56881 194 2 a b Strip folding Origami Resource Center 2018 Retrieved February 19 2018 The World of Geometric Toy Origami Spring August 2007 Cheong Chew and Hiromasa Suziki Geometrical Properties of Paper Spring reported in Mamoru Mitsuishi Kanji Ueda Fumihiko Kimura Manufacturing Systems and Technologies for the New Frontier 2008 p 159 TreeMaker Retrieved October 29 2022 Patsy Wang Iverson Robert James Lang Mark Yim eds 2010 Origami 5 Fifth International Meeting of Origami Science Mathematics and Education CRC Press pp 335 370 ISBN 978 1 56881 714 9 Lang Robert TreeMaker Retrieved October 29 2022 Mitani Jun ORIPA Origami Pattern Editor Retrieved October 29 2022 Robinson Nick 2008 Origami Kit for Dummies Wiley pp 36 38 ISBN 978 0 470 75857 1 Origami Copyright Analysis FAQ PDF OrigamiUSA 2008 p 9 Japanese Origami Artist Loses Copyright Battle With Japanese Television Station Keissen Associates November 21 2012 Retrieved September 3 2015 本阿弥家と折紙 in Japanese Nagoya Touken Museum Touken World Archived from the original on January 24 2022 Retrieved November 14 2022 折紙 in Japanese Kotobank Digitalio Inc The Asahi Shimbun Archived from the original on November 14 2022 Retrieved November 14 2022 House of Cards Chapter 6 AV Club March 8 2013 Retrieved October 29 2022 House of Cards Chapter 7 AV Club March 15 2022 Retrieved October 29 2022 Greenwald Ted Q amp A Ridley Scott Has Finally Created the Blade Runner He Always Imagined Wired Retrieved October 29 2022 Molly Brown King Arthur and the Knights of the Postmodern Fable in The Middle Ages in Popular Culture Medievalism and Genre Student Edition 2015 p 163 Interview Yoon Ha Lee Author of Conservation of Shadows on Writing and Her Attraction to Space Opera SF Signal May 30 2013 Archived from the original on June 10 2017 Retrieved March 27 2017 Guide British Comedy QI Series O Episode 10 Origins And Openings British Comedy Guide Retrieved January 13 2019 The art of folding paper into shapes without cutting it comes from Germany Origami uses white paper which can be folded and cut German kindergartens use paper that is uncut and is coloured on one side and this came into Japan when the country opened its borders in 1860 Thus what we generally consider origami today in fact has German roots Further readingKunihiko Kasahara 1988 Origami Omnibus Paper Folding for Everybody Tokyo Japan Publications Inc ISBN 4 8170 9001 4 A book for a more advanced origamian this book presents many more complicated ideas and theories as well as related topics in geometry and culture along with model diagrams dd Kunihiko Kasahara and Toshie Takahama 1987 Origami for the Connoisseur Tokyo Japan Publications Inc ISBN 0 87040 670 1 Satoshi Kamiya 2005 Works by Satoshi Kamiya 1995 2003 Tokyo Origami House An extremely complex book for the elite origamian most models take 100 steps to complete Includes his famous Divine Dragon Bahamut and Ancient Dragons Instructions are in Japanese and English dd Kunihiko Kasahara 2001 Extreme Origami ISBN 0 8069 8853 3 Michael LaFosse Origamido Masterworks of Paper Folding ISBN 978 1564966391 Nick Robinson 2004 Encyclopedia of Origami Quarto ISBN 1 84448 025 9 A book full of stimulating designs External links nbsp Wikibooks has a book on the topic of Origami nbsp Wikimedia Commons has media related to Origami category GiladOrigami com contains many book reviews WikiHow on how to make origami Origami USA many resources especially for folders in the USA British Origami Society many resources especially for folders in the UK Between the Folds documentary film about origami and origami artists Lang Robert February 2008 The math and magic of origami TED ED Archived from the original video on September 11 2013 Retrieved April 6 2013 Robert Lang March 16 2017 See a NASA Physicist s Incredible Origami video YouTube Retrieved October 29 2022 Engineering with Origami YouTube video by Veritasium about uses of origami for structural engineering Retrieved from https en wikipedia org w index php title Origami amp oldid 1207757282, wikipedia, wiki, book, books, library,

article

, read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.