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F-16 Fighting Falcon 1.2 Jason Ku, 2012
Courtesy of Jason Ku. Used with permission. 1
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Lobster 1.8b Jason Ku, 2012
Courtesy of Jason Ku. Used with permission. 2
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Crab 1.7 Jason Ku, 2012
Courtesy of Jason Ku. Used with permission. 3
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Rabbit 1.3 Jason Ku, 2011
Courtesy of Jason Ku. Used with permission.
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Convertible 3.3 Jason Ku, 2010
Courtesy of Jason Ku. Used with permission.
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Bicycle 1.8 Jason Ku, 2009
Courtesy of Jason Ku. Used with permission. 6
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Origami Mathematics & Algorithms
• Explosion in technical origami thanks in part to growing mathematical and computational understanding of origami
“Butterfly 2.2” Jason Ku
2008
Courtesy of Jason Ku. Used with permission. 7
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Evie 2.4 Jason Ku, 2006
Courtesy of Jason Ku. Used with permission. 8
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Ice Skate 1.1 Jason Ku, 2004
Courtesy of Jason Ku. Used with permission. 9
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Are there examples of origami folding made from other materials (not paper)?
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Puppy 2 Lizard 2 Penguin 2
Swan
Alien Facehugger Mark Sky
Buddha
Velociraptor
Courtesy of Marc Sky. Used with permission. 11
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“Toilet Paper Roll Masks” Junior Fritz Jacquet
Courtesy of Junior Fritz Jacquet. Used with permission. 12
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“Hydro-Fold” Christophe Guberan
To view video: http://vimeo.com/40307249.
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“Flight of Folds” Robert Lang & Kevin Box
2010
“White Bison” Robert Lang & Kevin Box
2010 silicon bronze cast
stainless steel cast
Courtesy of Robert J. Lang and
Kevin Box. Used with permission.
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“Flight of Folds”
Robert Lang 2010
Courtesy of Robert J. Lang. Used with permission. 15
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“bed turns into a chair” Tomohiro Tachi
To view video: http://www.youtube.com/watch?v=XEv8OFOr6Do.
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“Curved Folded Steel Table” Tomohiro Tachi, 2008
Courtesy of Tomohiro Tachi. Used with permission. Under CC-BY-NC. 17
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Photographs of Ron Resch and fold sculptures from 1967 and 1959 removed due to copyright restrictions.
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Andy Wilson
Courtesy of Andy Wilson. Used with permission. 19
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Screenshot of Tess (software) removed due to copyright restrictions.
Download the software: http://www.papermosaics.co.uk/software.html.
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“Waterbomb” (origami
tessellation) Gjerde
Crease pattern and photographs removed due to copyright restrictions.
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“Metal Cubes” Garibi Ilan
2012 stainless steel
Courtesy of Garibi Ilan. Used with permission. 22
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“Tiled Hexagons” (origami
tessellation) Eric Gjerde
Crease pattern and photographs removed due to copyright restrictions.
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“Tiled Hexagons” (origami
tessellation) Eric Gjerde
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Crease pattern and photographs removed due to copyright restrictions.
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polypropylene folding by Polly Verity http://www.flickr.com/photos/polyscene/
Courtesy of Polly Verity. Used with permission. 25
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Mirror Bowl: -ÉÒÒÏÒ foil, Tyvek
Anemone I: Plywood, 0olyester fabric
Wave Bowl, plywood: Plywood, Polyester fabric
Shoulder Cape: Copper, Polyester
fabric
Tine De Ruysser
Courtesy of Tine De Ruysser. Used with permission. 26
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Joel Cooper 2012
Courtesy of Joel Cooper. Used with permission. 27
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Cooper
Courtesy of Joel Cooper. Used with permission.
Image removed due to copyright restrictions.
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“Double Wave” Goran Konjevod
2007 Courtesy of Goran Konjevod. Used with permission. 29
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“Stars and Stripes” Robert Lang 2007 Courtesy of Robert J. Lang. Used with permission.
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“Stars and Stripes”
Robert Lang 2007 Courtesy of Robert J. Lang. Used with permission.
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Image removed to due copyright restrictions.
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Hiden Senbazuru Orikata 1797
This image is the public domain. 33
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Photograph of Peace Sphere (#1) removed due to copyright restrictions.
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Photographs of Crane Cube (#2) removed due to copyright restrictions.
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Photograph of swan removed due to copyright restrictions.Refer to: http://bopbob.deviantart.com/art/Origami-Swan-76224806.
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Buckyball from 120 of Tom Hull’s PHiZZ unit
Fullerene from 90 of Robert Neale’s penultimate unit
Large icosahedron from 270 Sonobe units
Michał Kosmulski
Courtesy of Michał Kosmulski. Used with permission. Under CC-BY-NC-SA.
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Image removed due to copyright restrictions.Refer to: http://www.flickr.com/photos/onesmallcrease/2503801341/.
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rhombicuboctahedron
icosidodecahedron
octahedron
cuboctahedron
Tom Hull http://www.flickr.com/photos/33761183@N00/
icosahedron Courtesy of Tom Hull. Used with permission.
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icosidodecahedron
Tom Hull http://www.flickr.com/photos/33761183@N00/
rhombicosidodecahedron
Courtesy of Tom Hull. Used with permission.
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“Five Intersecting Tetrahedra” designed by Tom Hull
folded by Vanessa Gould
“Makalu” & “K2” Robert Lang
Polypolyhedra
Courtesy of Robert J. Lang. Used with permission.41
Courtesy of Tom Hull. Used with permission.
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“Life-sized chair” Michał Kosmulski
828 business cards Courtesy of Michał Kosmulski. Used with permission. Under CC-BY-NC-SA. 42
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Jeannine Mosely’s “Menger Sponge”
66,000 business cards
Photograph of final model removed due to copyright restrictions.Refer to: http://theiff.org/oexhibits/menger02.html.
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Photograph and illustration of Mosely snowflake removed due to copyright restrictions.Refer to: Holloway, James. "50,000 folded business cards = one 3D
fractal." Gizmag,, September 11, 2012.
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Jeannine Mosely’s “Origami Union Station”
photo by Daniel Weinreb
100,000 business cards
Jeannine Mosely’s“Origami Union Station”
photo by Daniel Weinreb
100,000 business cards
Photograph removed due to copyright restrictions.Refer to: https://picasaweb.google.com/lh/photo/73YtDtSz8YtTpMuYnbJpog.
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“Business card cube” Ned Batchelder
Courtesy of Ned Batchelder. Used with permission. 46
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MIT OpenCourseWarehttp://ocw.mit.edu
6.849 Geometric Folding Algorithms: Linkages, Origami, PolyhedraFall 2012
For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.