Peter Engel (born 1959) is an American origami artist and theorist, science writer, graphic designer, and architect. He has written several books on Origami, including Origami from Angelfish to Zen, 10-Fold Origami: Fabulous Paperfolds You Can Make in Just 10 Steps!, and Origami Odyssey.
Engel studied the history and philosophy of science as an undergraduate at Harvard University, where he began studying origami seriously under design scientist Arthur Loeb. In 1987 he graduated from Columbia University with a master's degree in architecture.
Folding the Universe: Origami from Angelfish to Zen (1989) is his first book on origami. It is a highly unusual origami book in that besides the usual folding instructions, a significant portion was devoted to essays on the history of the craft as well as the theory. By exploring the relationship between art and science, and between creation, invention, and discovery, Engel provides unusual insights on the craft medium which has strict inherent constraints in favouring simple, geometric patterns and yet holds enough creative possibility within it to capture an unexpected range of complex forms. His models range from a unique coiled rattlesnake to a charming dollar bill bow tie to a delicate, detailed butterfly. The book also contains an interview with the legendary Japanese origami artist Akira Yoshizawa.
Folding the Universe was later re-released as Origami from Angelfish to Zen . [notes 1]
10-Fold Origami: Fabulous Paperfolds You Can Make in Just 10 Steps! (2009) [notes 2] is his second book on origami.
"Origami Odyssey: A Journey to the Edge of Paperfolding" (2011) is his third book on origami.
Engel's writings on science have appeared in various publications including The New York Times , Discover , and Scientific American .[ citation needed ]
Origami 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.
The Yoshizawa–Randlett system is a diagramming system used to describe the folds of origami models. Many origami books begin with a description of basic origami techniques which are used to construct the models. There are also a number of standard bases which are commonly used as a first step in construction. Models are typically classified as requiring low, intermediate or high skill depending on the complexity of the techniques involved in the construction.
The discipline of origami or paper folding has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability, and the use of paper folds to solve mathematical equations up to the third order.
Modular origami or unit origami is a multi-stage paper folding technique in which several, or sometimes many, sheets of paper are first folded into individual modules or units and then assembled into an integrated flat shape or three-dimensional structure, usually by inserting flaps into pockets created by the folding process. These insertions create tension or friction that holds the model together. Some assemblies can be somewhat unstable because adhesives or string are not used.
Robert James Lang is an American physicist who is also one of the foremost origami artists and theorists in the world. He is known for his complex and elegant designs, most notably of insects and animals. He has studied the mathematics of origami and used computers to study the theories behind origami. He has made great advances in making real-world applications of origami to engineering problems.
Akira Yoshizawa was a Japanese origamist, considered to be the grandmaster of origami. He is credited with raising origami from a craft to a living art. According to his own estimation made in 1989, he created more than 50,000 models, of which only a few hundred designs were presented as diagrams in his 18 books. Yoshizawa acted as an international cultural ambassador for Japan throughout his career. In 1983, Emperor Hirohito awarded him the Order of the Rising Sun, 5th class, one of the highest honors bestowed in Japan.
Paper craft is a collection of crafts using paper or card as the primary artistic medium for the creation of two or three-dimensional objects. Paper and card stock lend themselves to a wide range of techniques and can be folded, curved, bent, cut, glued, molded, stitched, or layered. Papermaking by hand is also a paper craft.
A fortune teller is a form of origami used in children's games. Parts of the fortune teller are labelled with colors or numbers that serve as options for a player to choose from, and on the inside are eight flaps, each concealing a message. The person operating the fortune teller manipulates the device based on the choices made by the player, and finally one of the hidden messages is revealed. These messages may purport to answer questions, or they may be activities that the player must perform.
The history of origami followed after the invention of paper and was a result of paper's use in society. In the detailed Japanese classification, origami is divided into stylized ceremonial origami and recreational origami, and only recreational origami is generally recognized as origami. However, this page describes the history of both ceremonial and recreational origami.
Lillian Vorhaus Oppenheimer was an origami pioneer from New York City. Becoming a leading figure in the art form in her later years, Oppenheimer is credited with popularizing it in the United States. She adopted the Japanese word origami instead of the English paper folding, and the foreign term became established in the English language due to her efforts.
Origami is a magic stage illusion with a Japanese paperfolding theme, designed by Jim Steinmeyer. It was originally performed in 1986 by Canadian illusionist Doug Henning, using a working prop constructed by illusion builder John Gaughan. Illusionist David Copperfield later introduced presentational changes that would be widely copied by other performers.
Florence Maria Temko, a pioneer in spreading origami in the United States, was perhaps the most prolific author on this subject. With fifty-five books to her credit on paper arts and folk crafts, she was a strong influence on interested beginners in the art of paperfolding. Some of them later developed complex origami designs previously unimaginable and applied their expertise into advanced innovations in the fields of art and science.
The napkin folding problem is a problem in geometry and the mathematics of paper folding that explores whether folding a square or a rectangular napkin can increase its perimeter. The problem is known under several names, including the Margulis napkin problem, suggesting it is due to Grigory Margulis, and the Arnold's rouble problem referring to Vladimir Arnold and the folding of a Russian ruble bank note. It is the first problem listed by Arnold in his book Arnold's Problems, where he calls it the rumpled dollar problem. Some versions of the problem were solved by Robert J. Lang, Svetlana Krat, Alexey S. Tarasov, and Ivan Yaschenko. One form of the problem remains open.
Ligia Montoya was an Argentine paper-folding artist, who played an important role in all aspects of the 'golden age' of the international origami movement from the 1950s, from which developed modern artistic origami—that is, innovative paper-folding exploring a variety of different approaches, rather than repeating limited traditional figures.
The orizuru, origami crane or paper crane, is a design that is considered to be the most classic of all Japanese origami. In Japanese culture, it is believed that its wings carry souls up to paradise, and it is a representation of the Japanese red-crowned crane, referred to as the "Honourable Lord Crane" in Japanese culture. It is often used as a ceremonial wrapper or restaurant table decoration. A thousand orizuru strung together is called senbazuru (千羽鶴), meaning "thousand cranes", and it is said that if someone folds a thousand cranes, they are granted one wish.
Jeannine Mosely holds a Ph.D. in EECS from the Massachusetts Institute of Technology, and is known for her work as an origami artist. She is best known for her modular origami designs, especially her work using business cards. She has organized several crowd-sourced origami projects built from tens of thousands of business cards involving hundred of volunteers for each project. She is also known for her minimalist origami designs, curved crease models, and her invention of "or-egg-ami" models made from egg cartons.
Alice E. Gray was an American entomologist and origamist. She worked as an entomologist at the American Museum of Natural History (AMNH) in New York for 43 years, writing, illustrating, and creating large models of insects. Known as the "Bug Lady", she conducted outreach and education in the museum, in local schools, and appeared on The Tonight Show. She began practicing origami first as an extension of her interest in insects, starting a tradition of using origami creatures to decorate the museum's Christmas tree. In the 1960s, she became more involved with the origami community and, in 1978, co-founded the Friends of the Origami Center of America in New York with Lillian Oppenheimer and Michael Shall, now known as OrigamiUSA.
A History of Folding in Mathematics: Mathematizing the Margins is a book in the history of mathematics on the mathematics of paper folding. It was written by Michael Friedman and published in 2018 by Birkhäuser as volume 59 of their Historical Studies series.
Tomohiro Tachi is a Japanese academic who studies origami from an interdisciplinary perspective, combining approaches from the mathematics of paper folding, structural rigidity, computational geometry, architecture, and materials science. His work was profiled in "The Origami Revolution" (2017), part of the Nova series of US science documentaries. He is a professor at the University of Tokyo.
