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Origami: Art, Science, Math Herng Yi Cheng, MIT [email protected] herngyi.com
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Origami: Art, Science, Math

Jan 30, 2017

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Page 1: Origami: Art, Science, Math

Origami:Art, Science, MathHerngYi Cheng, MIT [email protected]

herngyi.com

Page 2: Origami: Art, Science, Math

Origami Art

John McKeever Shuki Kato

Eric JoiselToshikazu Kawasaki

Page 3: Origami: Art, Science, Math

OSME Conferences

Page 4: Origami: Art, Science, Math

OrigamiScience & TechnologyLarge sheet ↔ Small size

Page 5: Origami: Art, Science, Math

Solar Array

“Miura Map Fold”

Koryo Miura, 1995

Miura-ori by MetaNest

Robert J. Lang, “The Math and Magic of Origami”, TEDTalk

Page 6: Origami: Art, Science, Math

Origami Stent Graft

Kaori Kuribayashi, ZhongYou (2006)

Waterbomb bases

“Fold Everything”, National Geographic Magazine

Page 7: Origami: Art, Science, Math

Robotic Folding

Gregory Epps (6OSME)

Page 8: Origami: Art, Science, Math

Robotic Folding

Gregory Epps (6OSME)

Page 9: Origami: Art, Science, Math

Origami Design SoftwareAutomatic origami design

Page 10: Origami: Art, Science, Math

Origamizer

Tomohiro Tachi (2010)

Tomohiro Tachi, “Origamizing Polyhedral Surface”, IEEE Trans. Visual. Com. Graphics (2010)

Page 11: Origami: Art, Science, Math

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)

Page 12: Origami: Art, Science, Math

Random

(6OSME)

Randomly fold paper

Generate many random folds

Spot nice folds

Page 13: Origami: Art, Science, Math

Grafting Towers

HerngYi Cheng (6OSME)

Page 14: Origami: Art, Science, Math

TreeMaker

Circle Packing

Robert J. Lang, “The Math and Magic of Origami”, TEDTalk

Page 15: Origami: Art, Science, Math

Origami MathThe fundamental laws of folding

Page 16: Origami: Art, Science, Math

Flat Folding

Alternating colors

Mountains and valleys differ by 2

Page 17: Origami: Art, Science, Math

Fold and Cut

Erik Demaine, Martin Demaine, Anna Lubiw

Marshall Bern, Erik Demaine, David Eppstein, Barry Hayes

Page 18: Origami: Art, Science, Math

Math Class

Haga’s theorem and similar triangles

Page 19: Origami: Art, Science, Math

Math Class

Number patterns

Page 20: Origami: Art, Science, Math

At the EdgeTo origami and beyond

Page 21: Origami: Art, Science, Math

Folding in Design

Lecture by Paul Jackson (6OSME)

Page 22: Origami: Art, Science, Math

Folding in Design

Lecture by Paul Jackson (6OSME)

Page 23: Origami: Art, Science, Math

Cut 3D sculptures

Yoshinobu Miyamoto (6OSME)

Page 24: Origami: Art, Science, Math

Cut 3D Sculptures

Yoshinobu Miyamoto (6OSME)

Page 25: Origami: Art, Science, Math

Further ResourcesBooks and videos

Page 26: Origami: Art, Science, Math

Books

OSME proceedings

Page 27: Origami: Art, Science, Math

Books

Origami design techniques and theory

Page 28: Origami: Art, Science, Math

Books

Mathematics and computer science

Page 29: Origami: Art, Science, Math

Books

For educators!

Page 30: Origami: Art, Science, Math

Art + Science + MathHerngYi Cheng, MIT [email protected]

herngyi.com