Volkswagen

From 2003, only BMW may make cars called Rolls-Royce. 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. From July 1998 until December 2002, Volkswagen's Bentley division also sold cars under the Rolls-Royce name under an agreement with BMW, which had bought the rights to that name. Once this figure is computed, the creases which are then used to obtain the base structure can be added. Volkswagen is part of the Volkswagen group, along with:. Using optimization algorithms, a circle-packing figure can be computed for any uniaxial base of arbitrary complexity. In September 2005, Porsche announced it was buying a 20% stake in Volkswagen at a cost of €3 billion, with the intention that the combined stakes of Porsche, Volkswagen and the government of Lower Saxony ensure that any hostile takeover by foreign investors would be impossible [1]. For a specific class of origami bases known as 'uniaxial bases', the pattern of allocations is referred to as the 'circle-packing'.

Later collaborations include the 1969/1970 VW-Porsche 914, the 1976 Porsche 924 (which used many Audi components and was built at an Audi factory), and the 2002 Porsche Cayenne (which shares engineering with the VW Touareg). Rather, 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. The first Porsche cars, the 1948 Porsche 356, used many Volkswagen components including a tuned engine, gearbox and suspension. 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 crease pattern. The company has had a close relationship with Porsche, the Stuttgart-based sports car manufacturer founded in 1947 by Ferry Porsche, son of the original Volkswagen designer Ferdinand Porsche. Although not intended as a substitute for diagrams, folding from crease patterns is starting to gain in popularity, partly because of the challenge of being able to 'crack' the pattern, and also partly because the crease pattern is often the only resource available to fold a given model, should the designer choose not to produce diagrams. Shasta Snow Trip Challenge" and is a good example of VW enthusiasts' trust in the durability of their often 40-year-old cars. The main starting point for such technical designs is the crease pattern (often abbreviated as 'CP'), which is essentially the layout of the creases required to form the final model.

This event is called the "Mt. This method of origami design was pioneered 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 full complement of fingers and toes, and the like. Shasta CA, entirely on unpaved jeep roads. With advances in origami mathematics however, the basic structure of a new origami model can be theoretically plotted out on paper before any actual folding even occurs. In the winter, a group of drivers of the "split window" bus model (1951-1967 Microbusses, trucks, campers, and panel vans) drive from Guerneville, CA, to Mt. In the early days of origami, development of new designs was largely a mix of trial-and-error, luck and serendipidity. Die-hard and loyal "VW-heads" attend these shows regularly, often travelling 500 miles or more to attend their favorite event. Technical origami, also known as origami sekkei, is a field of origami that has developed almost hand-in-hand with the field of mathematical origami.

Many of these shows feature camping, a car show called a "show 'n' shine", drag racing, parts swap meet, raffles, and other events. For example, the Miura map fold is a rigid fold that has been used to deploy large solar panel arrays for space satellites. In the United States, most notably in California, Volkswagen enthusiasts frequent large Volkswagen-themed car shows, especially in the summer months. 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. The last 3000 type 1's were called the "Ultima Edicion" or the last edition. [1]. The last car was nicknamed El Rey, which is Spanish for "The King". Folding a flat model from a crease pattern has been proven by Marshall Bern and Barry Hayes to be NP complete.

In true Mexican fashion, a mariachi band serenaded the last car in the 68-year-old history. 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. It was car number 21,529,464, and was immediately shipped off to the company's museum in Wolfsburg, Germany. The practice and study of origami encapsulates several subjects of mathematical interest. On July 21, 2003, the last Type 1 rolled off the production line in Puebla, Puebla, Mexico. Also, these papers are extremely thin and compressible, allowing for thin, narrowed limbs as in the case of insect models. By 2002 there had been over 21 million Type 1's had been produced. As these papers are floppy to start with, they are often backcoated or resized with methylcellulose or wheat paste before folding.

Part of their cult status is attributed to being one of a few cars with an air-cooled, horizontally-opposed engine design and the consequent ease of repair and modification as opposed to the more conventional and technically complex watercooled engine design. Artisan papers such as unryu, lokta, hanji, gampi, kozo, saa have long fibres and are often extremely strong. Looks include the resto-look, Cal Look, German-look, resto-Cal Look, buggies, Baja bugs, old school, ratlook, etc. Both types of foil materials are suitable for complex models. The fans are quite diverse. Foil-backed paper is available commercially but not tissue foil. Currently, there is a wide array of clubs that are concerned with the beetle. A second piece of tissue can be glued onto the reverse side to produce a tissue/foil/tissue sandwich.

More so than those cars, it maintains a very strong following worldwide, being regarded as something of a "cult" car, like the Delorean since its 1960s association with the hippie movement. Related to this is tissue foil, which is made by gluing a thin piece of tissue to kitchen aluminium foil. Like its competitors, the Mini and the Citroën 2CV, the original-shape Beetle long outlasted predictions of its lifespan. Foil-backed paper, just as its name implies, is a sheet of thin foil adhered to a sheet of thin paper. In addition, all VAG TDI diesel engines produced since 1996 can be driven on 100% biodiesel. The weight of kami is slightly less than that of copy paper, making it suitable for a wider range of models. Products such as the Toyota Prius might have highlighted the economy of non-gasoline engines, but in reality, a Volkswagen TDI engine is often found to be more efficient than the Prius on the highway (although not so when driving in the city). It is commonly coloured on one side and white on the other; however, duo coloured kami and patterned kami exist and can be used effectively for colour-changed models.

Sales of light duty diesel engine technology are increasing as gasoline prices rise. Kami is sold in prepackaged squares of various sizes ranging from 2.5 cm to 25 cm or more. They were a three way tie for 8th (TDI Beetle, TDI Golf, TDI Jetta) and 9th, the TDI Jetta Wagon. This technique allows for a more rounded sculpting of the model, which becomes rigid and sturdy when dry. in 2004 were powered by Volkswagen diesel engines. Heavier weight papers of 100 gsm or more can be wetfolded. Environmental Protection Agency, 4 of the 10 most fuel efficient vehicles available for sale in the U.S. Normal copy paper with weights of 70–90 gsm can be used for simple folds, such as the crane and waterbomb.

According to the U.S. Although almost any laminar material can be used for folding, the choice of material used greatly affects the folding and final look of the model. While extremely popular in the European market, light duty diesels do not yet enjoy the same wide acceptance in the American marketplace, despite increased fuel economy and performance comparable to gasoline engines due to turbocharging. A list of techniques is accumulating in the origami tech tree. Volkswagen currently offers a number of its vehicles with an advanced, light duty diesel engine known as the TDI. Most origami folds can be broken down into simpler steps. Much of the criticism of the new Jetta was stated before the new GLI model came out. Influenced by the purity and beauty of Origami, and Japanese design principles, Orikaso processes can be used to create functional and useful products.

Much of this criticism is due to the poor quality of the last generation Jetta/Golf and the preceived lack of performance in the new Jetta. Taking Origami developments into the 21st Century, designer Jay Cousins created a simpler form of Origami in plastic - dubbed orikaso. Also, Volkswagen has faced harsh criticism that the Phaeton had used up money that was better invested in their smaller cars. In one version, Sadako wrote a haiku that translates into English as:. In 2005 VW announced its discontinuance on the US market for fall 2006, mainly due to the disappointing sales there and the need for major investments in the cars line of engines (W12 and V8) to meet new emission requirements. The tale of Sadako has been dramatized in many books and movies. The Phaeton was critically acclaimed but not well received in the marketplace. A group of one thousand paper cranes is called senbazuru in Japanese.

In 2002, Volkswagen announced two models taking it into market segments new to the company: the Phaeton luxury car, and the Touareg ("tour regg") SUV. Every year the statue is adorned with thousands of wreaths of a thousand origami cranes. It has been popular in the USA, less so in Europe. While her effort could not extend her life, it moved her friends to make a granite statue of Sadako in the Hiroshima Peace Park: a young girl standing with her hand outstretched, a paper crane flying from her fingertips. Its genesis was secret and in opposition to VW management, who felt it was too backward-looking. Sadako was buried with a wreath of 1,000 cranes. In 1998, Volkswagen launched the J Mays-designed New Beetle, a "retro"-themed car with a resemblance to the original Beetle but based on the Golf. Her classmates continued folding cranes in honor of their friend.

The Scirocco and Corrado were both Golf-based coupés. Sadako folded 644 cranes before she died. As of 2005, there have been four incarnations of the Polo: Mk 1 (1976), Mk 2 (1981, facelifted 1990), Mk 3 (1994, facelifted 1999) and the current Mk 4 (2002). It is said that what made the girl truly special in her effort was her additional wish to end all such suffering, to bring peace and healing to the victims of the world. The other main models have been the Polo, a smaller car than the Golf, and the larger Passat for the segment above the Golf. However, it was not just for herself that she wished healing. The fifth generation Jetta, and the performance version, the GLI, are currently available in the United States and Canada. Hearing the legend, she decided to fold 1,000 cranes so that she could live.

The fifth-generation Golf is now available in Europe, and the GTI boasts a 2.0 L Turbocharged direct injection engine. By the time she was twelve in 1955, she was dying of leukemia. The current Volkswagen Golf was launched in late 2003, came runner-up to the Fiat Panda in the 2004 European Car of the Year, and has so far spawned the new generation Seat Toledo, Skoda Octavia and Audi A3 hatchback ranges as well as a new mini-MPV, the Seat Altea. She was then, a hibakusha -- an atom bomb survivor. However, it was beaten into third place for the 1998 European Car of the Year award by the winning Alfa Romeo 156 and runner-up Audi A6. Sadako was exposed to the radiation of the atomic bombing of Hiroshima as an infant, and it took its inevitable toll on her health. The fourth incarnation of the Golf arrived in late 1997, its chassis spawned a host of other cars within the Volkswagen group—the Volkswagen Bora (the sedan, still called Jetta in the USA), Volkswagen New Beetle, Seat Toledo, Seat Leon, Audi A3, Audi TT and Skoda Octavia. The origami crane (折鶴 orizuru in Japanese) has become a symbol of peace because of this legend, and because of a young Japanese girl named Sadako Sasaki.

This time the sedan version of the Golf was badged Vento in Europe (but Jetta in the USA). Legend says that anyone who folds one thousand paper cranes will have their heart's desire come true. The previous two versions had lost out to the Citroën CX in 1975 and the Fiat Uno in 1984. Japan has launched a satellite named tsuru (crane). In 1991, Volkswagen launched the third-generation Golf and it was third time lucky when the Volkswagen Golf was voted European Car of the Year for 1992. The crane is auspicious in Japanese culture. The second generation Golf hatchback/Jetta sedan ran from late 1983 to late 1991. One of the most famous origami designs is the Japanese crane.

Its chassis also spawned the Scirocco coupe and Jetta sedan. The model, contrary to common theory of traditional origami, involved cutting and gluing. There have been five generations of the Volkswagen Golf, the first of which was produced from the summer of 1974 until the end of 1983, sold as the Rabbit in the United States. Masao Okamura, an origami historian, was able to recreate the model. While Volkswagen's range of cars soon became similar to that of other large European car-makers, the Golf has been the mainstay of the Volkswagen lineup since its introduction, and the mechanical basis for several other cars of the company. A three volume wood cut book, "Ranma-Zushiki", published in 1734, contained two pictures that were identified by Yasuo Koyanagi in 1993 as the Tamatebako model. Beetle production continued in smaller numbers at other German factories until 1978, but mainstream production shifted to Brazil and Mexico. Recent historians have uncovered the lost origami Tamatebako, a model from the folk tale of "Urashima-Taro and the Tamatebako".

Its design followed trends for small family cars set by the 1959 Mini and 1972 Renault 5—the Golf had a transversely mounted, water-cooled engine in the front, driving the front wheels, and had a hatchback, a format that has dominated the market segment ever since. Modern origami has attracted a worldwide following, with ever more intricate designs and new techniques such as 'wet-folding,' the practice of dampening the paper somewhat during folding to allow the finished product to hold shape better, and variations such as modular origami also known as unit origami, where many origami units are assembled to form an often decorative whole. This was a car unlike its predecessor in most significant ways, both mechanically as well as visually (its angular styling was designed by the Italian Giorgetto Giugiaro). His work was promoted through the studies of Gershon Legman as published in the seminal books of Robert Harbin Paper Magic and more so in Secrets of the Origami Masters which revealed the wide world of paperfolding in the mid 1960s. Production of the Beetle at the Wolfsburg factory switched to the VW Golf in 1974, marketed in the United States as the Volkswagen Rabbit in the 1970s and as the Golf in the 1980s. The work of Akira Yoshizawa of Japan, a prolific creator of origami designs and writer of books on origami, inspired a modern renaissance of the craft. Audi influences paved the way for this new generation of Volkswagens, known as the Polo, Golf and Passat. Friedrich Fröbel, founder of the kindergartens, recognized paper binding, weaving, folding, and cutting as teaching aids for child development during the early 1800s.

The Ingolstadt-based firm had the necessary expertise in front wheel drive and water-cooled engines that Volkswagen so desperately needed to produce a credible Beetle successor. His methods, which involved sheets of round paper that were folded into spirals and curved shapes, have influenced modern origami artists like Kunihiko Kasahara. The key to the problem was the 1964 acquisition of Audi/Auto-Union. Joseph Albers, the father of modern color theory and minimalistic art, taught origami and paper folding in the 1920s and 30s. The company knew that Beetle production had to end one day, but the conundrum of replacing it had been a never ending nightmare. The Japanese do not see origami as an art form, but rather as an integrated part of their culture and tradition. The Type 3 and Type 4 models had been comparative flops, and the NSU-based K70 also failed to woo buyers. Modern origami has broken free from the traditional linear construction techniques of the past, and models are now frequently wet-folded or constructed from materials other than paper and foil.

Volkswagen was in serious trouble by the end of the 1960s. Sometimes the most complex origami models must be folded from foil instead of paper; this allows more layers before the paper becomes impractically thick. The US Thing version only lasted two years, 1973 and 1974, due at least in part to Ralph Nader's automobile safety campaigns. An origami design can be as simple as a party hat or paper airplane, or as complex as a model of the Eiffel Tower, a leaping gazelle or a stegosaurus that takes an hour and a half to fold. The military version was produced for the NATO-era German army (Bundeswehr) during the cold war years of 1970 to 1979. The earliest known European origami is probably the baptismal certificate of 16th century, represented by a little bird (pajarita in Spanish or cocotte in French). In 1973, Volkswagen introduced the military-themed Thing (Type 181) in America, recalling the wartime Type 81. In Korea, ancestral tablets made of paper, known as jibang (지방), were folded in a prescribed manner handed down the family line for use in ancestral worship ceremonies.

VW expanded their product line in 1967 with the introduction of several Type 3 models, which were essentially body style variations (Fastback, Notchback, Squareback) based on Type 1 mechanical underpinnings, and again in 1969 with the relatively unpopular Type 4 (also known as the 411 and 412) models, which differed substantially from previous models with the notable introduction of unibody construction, a fully automatic transmission, electronic fuel injection, and a sturdier powerplant. The earliest known Japanese origami is probably ceremonial paper folding, such as noshi (熨斗), which started in Muromachi era (1392-1573). By 1973 total production was over 16 million. The earliest known traditions of paper folding were of ritual origin. During the 1960s and early 1970s, although the car was becoming outdated, American exports, innovative advertising and a growing reputation for reliability helped production figures to surpass the levels of the previous record holder, the Ford Model T. The "invention" of paper folding probably followed soon after the invention of paper itself. Not until 1998 and the Golf-based New Beetle would the name be adopted by Wolfsburg. .

Despite the fact it was almost universally known as the Beetle, it was never officially known as such, instead referred to as the Type 1. It's also possible to create folds from triangular paper. Production of the Type 1 Volkswagen Beetle (German: 'Käfer', US: 'Bug', Mexican: 'Vocho', 'Vochito', French: 'Coccinelle', Portuguese: 'Carocha', Brazilian: 'Fusca', Danish: 'Boble, Folkevogn', Polish: 'Garbus') increased dramatically over the years, the total reaching one million in 1954. Contrary to most popular belief, traditional Japanese origami, which has been practiced since the Edo era (1603-1867), has often been less strict about these conventions, sometimes cutting the paper during the creation of the design (Kirigami 切り紙) or starting with a rectangular, circular, or other non-square sheets of paper. market, the VW was briefly sold as a "Victory Wagon". In general, these designs begin with a square sheet of paper, whose sides may be different colors, and proceed without cutting the paper. On its entry to the U.S. Origami only uses a small number of different folds, but they can be combined in a variety of ways to make intricate designs.

Apart from the introduction of the Type 2 commercial vehicle (van, pickup and camper) and the Karmann Ghia sports car, Nordhoff pursued the one-model policy until shortly before his death in 1968. The word literally means "paper folding" in Japanese and refers to all types of paper folding, even those of non-Japanese origin. In 1949 Hirst left the company, now re-formed as a trust controlled by the West German government. The goal of this art is to create a given result using geometric folds and crease patterns. Heinrich Nordhoff (1899–1968), a former senior manager at Opel who had overseen civilian and military vehicle production in the 1930s and 1940s, was recruited to run the factory in 1948.
Origami (折り紙 or 折紙 origami "paper folding") is the art of paper folding. From 1948, Volkswagen became a very important element, symbolically and economically, of West German regeneration.

In Italy it was the Fiat 500. In France Citroën started the 2CV on a similar marketing concept. Ford representatives were equally critical: the car was "not worth a damn". If you think you're going to build cars in this place, you're a bloody fool, young man." (In a bizarre twist of fate, Volkswagen would manufacture a locally built version of Rootes' Hillman Avenger in Argentina in the 1980s, long after Rootes went bust at the hands of Chrysler in 1978—the Beetle outliving the Avenger by over 30 years).

After an inspection of the plant, Sir William Rootes, head of the British Rootes Group, told Hirst the project would fail within two years, and that the car "is quite unattractive to the average motorcar buyer, is too ugly and too noisy .. Famously, all rejected it. It was offered to representatives from the British, American and French motor industries. It was still unclear what was to become of the factory.

The car and its town changed their Second World War-era names to Volkswagen and Wolfsburg respectively, and production was increasing. By 1946 the factory was producing 1,000 cars a month, a remarkable feat considering the factory was still in disrepair: the damaged roof and windows meant rain stopped production; the steel to make the cars had to be bartered for new vehicles. The first few hundred cars went to personnel from the occupying forces, and to the German Post Office. Short of light transport, in September 1945 the British Army was persuaded to place a vital order for 20,000.

Hirst painted one of the factory's cars green and demonstrated it to British Army headquarters. Since it had been used for military production, and had been a "political animal" (Hirst's words) rather than a commercial enterprise, the equipment was in time intended to be salvaged as war reparations. At first, the plan was to use it for military vehicle maintenance. The factory was placed under the control of Oldham-born Hirst.

In April 1945, KdF-Stadt and its heavily bombed factory were captured by the Americans, and handed to the British to administer. The company owes its postwar existence largely to one man, British Army officer Major Ivan Hirst (1916–2000). War meant production turned to military vehicles, the Type 81 Kübelwagen utility vehicle (VW's most common wartime model) and the amphibious Schwimmwagen . None were actually delivered to holders of the completed saving stamp books, though one Type 3 Cabriolet was presented to Hitler on his fiftieth birthday, in 1938.

The new factory in the new town of KdF-Stadt, now called Wolfsburg, purpose-built for the factory workers, only produced a handful of cars by the time war started in 1939. It was one of the first to be designed with the aid of a wind tunnel; unlike the Chrysler Airflow, it would be a success. Erwin Komenda, the longstanding Porsche chief designer, developed the car body of the prototype, which was recognizably the Beetle we know today. The VW car was just one of many KdF programs which included things such as tours and outings.

The car already had its distinctive round shape and air-cooled, flat-four, rear-mounted engine, features similar to the Tatra. Prototypes of the car called the KdF-Wagen (German: Kraft durch Freude = "strength through joy"), appeared from 1936 onwards (the first cars had been produced in Stuttgart). Volkswagen honored its savings agreements after World War II; Ford, which had a similar "coupon" savings system, reportedly did not. The intention was that ordinary Germans would buy the car by means of a savings scheme ("Fünf Mark die Woche mußt Du sparen, willst Du im eigenen Wagen fahren" - "Save five Marks a week to drive in your own car"), which around 336,000 people eventually paid into.

Hitler's changes to the original design included better fuel efficiency (to make it more economical for the working man), reliability, ease of use, and economically efficient repairs and parts. Adolf Hitler's desire that almost anybody should be able to afford a car coincided with this design—although much of this design was inspired by the advanced Tatra cars of Hans Ledwinka. Though the origins of the company date back to the 1930s, the design for the car that would become known as the Beetle / "Käfer" date back even further, as a pet project by car designer Ferdinand Porsche (1875–1951). .

It forms the core of Volkswagen AG (VWAG), one of the world's four largest car producers. Volkswagen, [literally: "people's car"] (also known as VW) is an automobile manufacturer based in Wolfsburg, Germany. Lamborghini —bought in 1998. Bugatti—name bought in 1998.

Bentley—bought in 1998 from Vickers along with Rolls-Royce -cannot produce cars using the Rolls-Royce marque because the trademarks went to BMW. Škoda—bought in 1991. SEAT—majority owned since 1987. NSU—bought in 1969 by Volkswagen's Audi division, a brand not used since 1977.

Audi (the former post-WWII Auto Union/DKW)—bought from Daimler-Benz in 1964.