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ROTATIONAL GEOMETRY AS A TEACHING TOOL : APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY SIXTH INTERNATIONAL CONFERENCE ON DESIGN PRINCIPLES AND PRACTICES LOS ANGELES, JANUARY 21, 2012 1 go to last slide

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Page 1: ROTATIONAL GEOMETRY AS A TEACHING TOOL : …static.trogu.com/documents/conference/design-principles-and... · rotational geometry as a teaching tool : applying the work of giorgio

ROTATIONAL GEOMETRY AS A TEACHING TOOL :

APPLYING THE WORK OF GIORGIO SCARPA

PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

SIXTH INTERNATIONAL CONFERENCE ON DESIGN PRINCIPLES AND PRACTICES

LOS ANGELES, JANUARY 21, 2012

1

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B A B

E

D

C C

D

E1 2 3 4 5

TWIN SECTION

Fig. 1

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Fig. 2

C

B

B D

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Fig. 3

C C

C C

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Fig. 4

B

B

Z

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16ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY

Fig. 5

A B C

CDE

B

B

BB B

Z

A

D

D

C

C

E

2 3 4 51

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Fig. 6

B

ZB

BD

B

B

DB B

D

B B

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Fig. 7

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Fig. 8-11

8 9

10 11A 11B

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Fig. 12-13

13

1

2

C

B

B

C

D

12

13

1

2

C

B

B

C

D

12

13

1

2

C

B

B

C

D

12

TRIPLET SECTION

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Fig. 14

C

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Fig. 15

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Fig. 16

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Fig. 17

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Fig. 18

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Fig. 19

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Fig. 20

A B C

CDE

B B

B

B

B

B

BD E

D

B

BBB

Z

ED

CB

Z

Z

2 3 41

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Fig. 21

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Fig. 22

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Fig. 23

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Fig. 24

HINGES AND ROTATIONS

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Fig. 25

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Fig. 26

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Fig. 27

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Fig. 28

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Fig. 29

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Fig. 30

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REFERENCES & LINKS

Jürg Spiller, ed., Paul Klee: The Thinking Eye, trans. Ralph Manheim. Wittenborn, 1961.

Giorgio Scarpa, Modelli di geometria rotatoria [Models of rotational geometry]

Zanichelli, 1978.

Erik D. Demaine and Joseph O’Rourke, Geometric Folding Algorithms. Linkages, Origami,

Polyhedra. Cambridge University Press, 1997.

Cube Section trogu.com/projects/getProject/20051225082001/project_html

Giorgio Scarpa userwww.sfsu.edu/~trogu/scarpa

PDF of slides and handouts

trogu.com/Documents/conference/design-principles-and-practices

Contact

[email protected] design.sfsu.edu trogu.com go to first slide

Music: il nuotatore, Giovanni Allevi