![]() "Origami Legend Akira Yoshizawa Honored With Google Doodle". "Origami Astronomy: The Art and Science of a Giant Folding Space Telescope". ^ Britt, Robert Roy (February 20, 2002).: Cite journal requires |journal= ( help) "Origami and Geometric Constructions" (PDF). ^ a b c Orlean, Susan (February 19, 2007).^ a b Kirsten Sanford and Justin Jackson (July 7, 2005).^ a b c d e f g Orlean, Susan (February 19, 2007).Twists, Tilings, and Tessellations: Mathematical Methods for Geometric Origami CRC Press, 2018, ISBN 9781482262414.Origami Design Secrets: Mathematical Methods for an Ancient Art A K Peters, 2003, ISBN 1-56881-194-2.Origami Insects and their Kin Dover Publications, 1995, ISBN 2-9.Origami Animals Crescent, 1992 ( out of print), ISBN 0-X OCLC 439612324.Origami Sea Life (with John Montroll) Dover Publications, 1990, ISBN 5-2.The Complete Book of Origami Dover Publications, 1988, ISBN 6-8.In 2012 he became a fellow of the American Mathematical Society. Lang also designed the Google Doodle for Akira Yoshizawa's 101st birthday, which was used by Google on March 14, 2012. ![]() Lang is the author or co-author of eight books and many articles on origami. Lang was engaged by the team to develop a way to fit the tremendous lens, known as the Eyeglass, into a small rocket in such a way that the lens can be unfolded in space and will not suffer from any permanent marks or creases. He has worked with the Lawrence Livermore National Laboratory in Livermore, California, where a team is developing a powerful space telescope, with a 100 m (328 ft) lens in the form of a thin membrane. These included designing folding patterns for a German airbag manufacturer. Lang specializes in finding real-world applications for the various theories of origami he has developed. He has developed ways to algorithmetize the design process for origami, and is the author of the proof of the completeness of the Huzita–Hatori axioms. Lang is recognized as one of the leading theorists of the mathematics of origami. Lang takes full advantage of modern technology in his origami, including using a laser cutter to help score paper for complex folds. In 1990, Lang first attempted to write computer code that would solve origami problems, and the result was his first version of Tree Maker. While in Germany for postdoctoral work, Lang and his wife were enamored of Black Forest cuckoo clocks, and he became a sensation in the origami world when he successfully folded one after three months of design and six hours of actual folding. While studying at Caltech, Lang came into contact with other origami masters such as Michael LaFosse, John Montroll, Joseph Wu, and Paul Jackson through the Origami Center of America, now known as OrigamiUSA. Lang used origami as an escape from the pressures of undergraduate studies. By his early teens, he was designing original origami patterns. Lang was introduced to origami at the age of six by a teacher who had exhausted other methods of keeping him entertained in the classroom. Lang currently resides in Altadena, California. However, he still maintains ties to his physics background: he was the editor-in-chief of the IEEE Journal of Quantum Electronics from 2007 to 2010, and has done part-time laser consulting for Cypress Semiconductor, among others. ![]() In 2001, Lang left the engineering field to be a full-time origami artist and consultant. Lang has authored or co-authored over 80 publications on semiconductor lasers, optics, and integrated optoelectronics, and holds 46 patents in these fields. Lang also worked as a research scientist for Spectra Diode Labs of San Jose, California, and then at JDS Uniphase, also of San Jose. Lang began work for NASA's Jet Propulsion Laboratory in 1988. ![]() in applied physics, with a dissertation titled Semiconductor Lasers: New Geometries and Spectral Properties. ![]() He earned a master's degree in electrical engineering at Stanford University in 1983, and returned to Caltech for a Ph.D. Lang studied electrical engineering at the California Institute of Technology, where he met his wife-to-be, Diane. Lang was born in Dayton, Ohio, and grew up in Atlanta, Georgia. Robert Lang folding an origami American flag, which includes 50 stars and 15 white and 13 red stripes, from a single uncut square ![]()
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