Origami: Art, Science, Math
Transcript of Origami: Art, Science, Math
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Origami Art
John McKeever Shuki Kato
Eric JoiselToshikazu Kawasaki
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OSME Conferences
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OrigamiScience & TechnologyLarge sheet ↔ Small size
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Solar Array
“Miura Map Fold”
Koryo Miura, 1995
Miura-ori by MetaNest
Robert J. Lang, “The Math and Magic of Origami”, TEDTalk
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Origami Stent Graft
Kaori Kuribayashi, ZhongYou (2006)
Waterbomb bases
“Fold Everything”, National Geographic Magazine
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Robotic Folding
Gregory Epps (6OSME)
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Robotic Folding
Gregory Epps (6OSME)
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Origami Design SoftwareAutomatic origami design
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Origamizer
Tomohiro Tachi (2010)
Tomohiro Tachi, “Origamizing Polyhedral Surface”, IEEE Trans. Visual. Com. Graphics (2010)
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Origamizer
Chop surface into polygons
Spread polygons out on flat paper
Close the gaps by folding them shut
Tomohiro Tachi, “Origamizing Polyhedral Surface”, IEEE Trans. Visual. Com. Graphics (2010)
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Random
(6OSME)
Randomly fold paper
Generate many random folds
Spot nice folds
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Grafting Towers
HerngYi Cheng (6OSME)
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TreeMaker
Circle Packing
Robert J. Lang, “The Math and Magic of Origami”, TEDTalk
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Origami MathThe fundamental laws of folding
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Flat Folding
Alternating colors
Mountains and valleys differ by 2
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Fold and Cut
Erik Demaine, Martin Demaine, Anna Lubiw
Marshall Bern, Erik Demaine, David Eppstein, Barry Hayes
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Math Class
Haga’s theorem and similar triangles
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Math Class
Number patterns
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At the EdgeTo origami and beyond
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Folding in Design
Lecture by Paul Jackson (6OSME)
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Folding in Design
Lecture by Paul Jackson (6OSME)
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Cut 3D sculptures
Yoshinobu Miyamoto (6OSME)
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Cut 3D Sculptures
Yoshinobu Miyamoto (6OSME)
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Further ResourcesBooks and videos
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Books
OSME proceedings
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Books
Origami design techniques and theory
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Books
Mathematics and computer science
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Books
For educators!