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364:, where a team is developing a powerful space telescope, with a 100 m (328 ft) lens in the form of a thin membrane. 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. Lang is the author or co-author of eight books and many articles on origami. Lang also designed the Google Doodle for
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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. By his early teens, he was designing original origami patterns. Lang used origami as an escape from the pressures of undergraduate studies. While studying at
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in these fields. In 2001, Lang left the engineering field to be a full-time origami artist and consultant. However, he still maintains ties to his physics background: he was the editor-in-chief of the
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Lang specializes in finding real-world applications for the various theories of origami he has developed. These included designing folding patterns for a
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and used computers to study the theories behind origami. He has made great advances in making real-world applications of origami to engineering problems.
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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
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In 1990, Lang first attempted to write computer code that would solve origami problems, and the result was his first version of
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American flag, which includes 50 stars and 15 white and 13 red stripes, from a single uncut square
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Interview with Peter Shea at
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Caltech, Lang came into contact with other origami masters such as
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This article is about the origami artist. For other people named Robert Lang, see
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Twists, Tilings, and
Tessellations: Mathematical Methods for Geometric Origami
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in 1988. Lang also worked as a research scientist for
Spectra Diode Labs of
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Origami
Engineering in the Fold: video report on origami telescopes
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Origami Design
Secrets: Mathematical Methods for an Ancient Art
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from 2007 to 2010, and has done part-time laser consulting for
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Semiconductor Lasers: New
Geometries and Spectral Properties.
892:"Origami Legend Akira Yoshizawa Honored With Google Doodle"
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Lang is recognized as one of the leading theorists of the
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Lang has authored or co-authored over 80 publications on
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List of
Fellows of the American Mathematical Society
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1499:California Institute of Technology alumni
1048:See a NASA Physicist's Incredible Origami
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317:work, Lang and his wife were enamored of
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856:Britt, Robert Roy (February 20, 2002).
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1311:Geometric Exercises in Paper Folding
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890:Albanesius, Chloe (March 14, 2012).
1332:A History of Folding in Mathematics
625:and Justin Jackson (July 7, 2005).
262:IEEE Journal of Quantum Electronics
929:Twists, Tilings, and Tessellations
780:Hull, Thomas (November 29, 2003).
376:In 2012 he became a fellow of the
200:California Institute of Technology
150:(born May 4, 1961) is an American
87:California Institute of Technology
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1514:People from Altadena, California
1494:21st-century American physicists
154:who is also one of the foremost
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1232:Alexandrov's uniqueness theorem
1036:, American Math Society, (2015)
1013:magazine, Issue 17, Spring 2005
756:Onward and Upward With the Arts
732:Newton, Liz (1 December 2009).
708:Onward and Upward With the Arts
670:Onward and Upward With the Arts
595:Onward and Upward With the Arts
166:Education and early occupation
16:American physicist (born 1961)
1:
1170:Regular paperfolding sequence
1044:; Gallery Origami House, 2003
457:Origami Insects and their Kin
422:); Dover Publications, 1990,
378:American Mathematical Society
218:, with a dissertation titled
206:in electrical engineering at
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1484:Scientists from Dayton, Ohio
1318:Geometric Folding Algorithms
1085:Mathematics of paper folding
472:; St. Martin's Press, 1996,
459:; Dover Publications, 1995,
392:; Dover Publications, 1988,
390:The Complete Book of Origami
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1519:Stanford University alumni
1368:Margherita Piazzola Beloch
1022:An Origami Space Telescope
1007:Interview with Robert Lang
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1139:Yoshizawa–Randlett system
633:(Podcast). Archived from
230:Jet Propulsion Laboratory
210:in 1983, and returned to
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1339:Origami Polyhedra Design
971:Doctoral Thesis Abstract
810:Lang, Robert J. (2010).
627:"July 7, 2005 Broadcast"
918:, retrieved 2013-01-27.
174:Robert Lang folding an
1129:Napkin folding problem
837:Cite journal requires
734:"The power of origami"
549:"About Robert J. Lang"
516:Napkin folding problem
336:mathematics of origami
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196:electrical engineering
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160:mathematics of origami
101:Mathematics of origami
978:from IT Conversations
976:Computational Origami
782:"Origami Mathematics"
750:(February 19, 2007).
702:(February 19, 2007).
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637:on September 27, 2007
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267:Cypress Semiconductor
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1289:Fold-and-cut theorem
1245:Steffen's polyhedron
1109:Huzita–Hatori axioms
1099:Big-little-big lemma
631:This Week in Science
485:; A K Peters, 2003,
340:Huzita–Hatori axioms
271:Altadena, California
245:semiconductor lasers
240:, also of San Jose.
234:San Jose, California
224:Lang began work for
1237:Flexible polyhedron
498:; CRC Press, 2018,
435:; Crescent, 1992 (
208:Stanford University
91:Stanford University
1418:Toshikazu Kawasaki
1241:Bricard octahedron
1216:Yoshimura buckling
1114:Kawasaki's theorem
1041:Origami Insects II
933:Notices of the AMS
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293:Dimetrodon by Lang
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1325:Geometric Origami
1196:Paper bag problem
1119:Maekawa's theorem
792:on April 18, 2007
786:Merrimack College
752:"The Origami Lab"
704:"The Origami Lab"
666:"The Origami Lab"
591:"The Origami Lab"
470:Origami in Action
372:Awards and honors
251:, and integrated
186:, and grew up in
182:Lang was born in
148:Robert James Lang
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108:Scientific career
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1363:Roger C. Alperin
1266:Source unfolding
1134:Pureland origami
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255:, and holds 46
253:optoelectronics
216:applied physics
214:for a Ph.D. in
204:master's degree
194:. Lang studied
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862:Tech Wednesday
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1303:Publications
1165:Möbius strip
1155:Dragon curve
1092:Flat folding
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899:. Retrieved
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870:the original
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830:cite journal
819:. Retrieved
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635:the original
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524:cuckoo clock
521:Black Forest
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132:Institutions
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67:Dayton, Ohio
42:Lang in 2012
1474:1961 births
1438:KĹŤryĹŤ Miura
1433:Jun Maekawa
1408:KĂ´di Husimi
1124:Map folding
982:Robert Lang
927:Reviews of
896:PC Magazine
762:. p. 3
714:. p. 4
676:. p. 1
601:. p. 2
403:Origami Zoo
126:mathematics
75:Nationality
59:May 4, 1961
21:Robert Lang
1468:Categories
1428:Anna Lubiw
1261:Common net
1186:Miura fold
876:2007-04-12
821:2019-11-21
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