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1Edge unfolding vs. general unfolding

[Demaine, Eppstein, Erickson, Hart, O’Rourke 2001/2003]

(16)

(36)

(56)

Image by MIT OpenCourseWare.See also http://erikdemaine.org/papers/VertexUnfolding_Kuperberg2003/.

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[Demaine, Eppstein, Erickson, Hart, O’Rourke 2001/2003]

(76)

(96)

(146)

Image by MIT OpenCourseWare.See also http://erikdemaine.org/papers/VertexUnfolding_Kuperberg2003/.

3

[Demaine, Eppstein, Erickson, Hart, O’Rourke 2001/2003]

(A)

(B)

Image by MIT OpenCourseWare.See also http://erikdemaine.org/papers/VertexUnfolding_Kuperberg2003/.

4

Image by MIT OpenCourseWare.See also http://erikdemaine.org/papers/VertexUnfolding_Kuperberg2003/.

5

z

x

y

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[Damian, Flatland, O’Rourke 2007]

Courtesy of Mirela Damian, Robin Flatland, and Joseph O’Rourke. Used with permission.

7

[Damian, Flatland, O’Rourke 2007]Courtesy of Mirela Damian, Robin Flatland, and Joseph O’Rourke. Used with permission.8

[Damian, Flatland, O’Rourke

2007]Courtesy of Mirela Damian, Robin Flatland, and Joseph O’Rourke. Used with permission.

9

[Damian, Flatland, O’Rourke

2007]Courtesy of Mirela Damian, Robin Flatland, and Joseph O’Rourke. Used with permission.

10

[Damian, Flatland, O’Rourke 2007]Courtesy of Mirela Damian, Robin Flatland, and Joseph O’Rourke. Used with permission.11

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[Damian, Flatland, O’Rourke 2008]

To view video: "Reverse-direction suture" at http://cs.smith.edu/~orourke/Unf/Orthog.Anims.html.

13

[O’Rourke 2007]Courtesy of Joseph O'Rourke. Used with permission. To view videos: "Unfolding Orthogonal Terrains" at http://cs.smith.edu/~orourke/Unf/Orthog.Anims.html.

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[O’Rourke 2007]Courtesy of Joseph O'Rourke. Used with permission. To view videos: "Unfolding Orthogonal Terrains" at http://cs.smith.edu/~orourke/Unf/Orthog.Anims.html. 15

[O’Rourke 2007]Courtesy of Joseph O'Rourke. Used with permission. To view videos: "Unfolding Orthogonal Terrains" at http://cs.smith.edu/~orourke/Unf/Orthog.Anims.html.16

[Biedl, Demaine, Demaine, Lubiw, Overmars, O’Rourke, Robbins, Whitesides 1998]

Image by MIT OpenCourseWare.See also http://erikdemaine.org/papers/CCCG98b/.

z

z1

z0

z2

z4

z3

z2

y

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[Biedl, Demaine, Demaine, Lubiw, Overmars, O’Rourke, Robbins, Whitesides 1998]

Image by MIT OpenCourseWare.See also http://erikdemaine.org/papers/CCCG98b/.

z4

z3

B4

B3+

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[Demaine, Iacono, Langerman 2010]Courtesy of Erik D. Demaine, John Iacono, and Stefan Langerman. Used with permission.19

[Biedl, Demaine, Demaine, Lubiw, Overmars, O’Rourke, Robbins, Whitesides 1998]

Image by MIT OpenCourseWare.See also http://erikdemaine.org/papers/CCCG98b/.

20

[Biedl, Demaine, Demaine, Lubiw, Overmars, O’Rourke, Robbins, Whitesides 1998]

Image by MIT OpenCourseWare.See also http://erikdemaine.org/papers/CCCG98b/.

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Image by MIT OpenCourseWare.

22

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Image by MIT OpenCourseWare.

v

v

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Image by MIT OpenCourseWare.

_

_

_

+

+C+

0

0

s’s

+

+ +

C

e

0

0

e’

+

+v

f+

+

+

+

_

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Image by MIT OpenCourseWare.

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Image by MIT OpenCourseWare.

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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.

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