Snack timeOpus 527

Robert LangCourtesy of Robert J. Lang. Used with permission.

1

Image by MIT OpenCourseWare.

2

E

G

C C

CC

B

B B

B

D

F

H

A

G

F

C

BE

D

H

A

Image by MIT OpenCourseWare.

3

G

CC

C C

B B

D

H

A

GC

B

D

HA

Lang’s Universal Molecule

Image by MIT OpenCourseWare.

4

Roosevelt ElkOpus 358

Robert LangCourtesy of Robert J. Lang. Used with permission. 5

Scorpion varilegOpus 379

Robert LangCourtesy of Robert J. Lang. Used with permission. 6

Nazgul 7.3Jason Ku, 2007

Courtesy of Jason Ku. Used with permission. 7

Shrimp 1.8Jason Ku, 2006

Courtesy of Jason Ku. Used with permission. 8

Butterfly 2.2Jason Ku, 2008

Courtesy of Jason Ku. Used with permission. 9

perimeter 2 n2 + O(n)

[Demaine, Demaine, Konjevod, Lang 2009]

Courtesy of Erik D. Demaine, Martin L. Demaine, Goran Konjevod, and Robert J. Lang. Used with permission.

10

[Demaine, Demaine, Konjevod, Lang 2009]

perimeter n2 + O(n)

Courtesy of Erik D. Demaine, Martin L. Demaine, Goran Konjevod, and Robert J. Lang. Used with permission.

11

[Demaine, Demaine, Konjevod, Lang 2009]

perimeter n2 + O(n)

Courtesy of Erik D. Demaine, Martin L. Demaine, Goran Konjevod, and Robert J. Lang. Used with permission.

12

Demaine & Tachi 2010

Courtesy of Erik D. Demaine, Martin L. Demaine, Goran Konjevod, and Robert J. Lang. Used with permission.

13

Demaine & Tachi 2010Courtesy of Erik D. Demaine, Martin L. Demaine, Goran Konjevod, and Robert J. Lang. Used with permission.

14

Demaine & Tachi 2010

Courtesy of Erik D. Demaine, Martin L. Demaine, Goran Konjevod, and Robert J. Lang. Used with permission.

15

Demaine & Tachi 2010

Courtesy of Erik D. Demaine, Martin L. Demaine, Goran Konjevod, and Robert J. Lang. Used with permission.

16

Demaine & Tachi 2010

Courtesy of Erik D. Demaine, Martin L. Demaine, Goran Konjevod, and Robert J. Lang. Used with permission.

17

MIT OpenCourseWarehttp://ocw.mit.edu

6.849 Geometric Folding Algorithms: Linkages, Origami, PolyhedraFall 2012

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