go to last slide

PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

ROTATIONAL GEOMETRY AS A TEACHING TOOL :APPLYING THE WORK OF GIORGIO SCARPA

DRS // CUMULUS – OSLO, NORWAYTHE 2ND INTERNATIONAL CONFERENCE FOR DESIGN EDUCATION RESEARCHERS

15 MAY 2013

go to last slide

1

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY 2

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY3

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY4

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY5

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY6

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY7

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY8

9 9ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

10 10ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY1111

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

TWIN SECTION

Fig. 1

12

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

Fig. 2

13

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

Fig. 2b

14

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

Fig. 3

15

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

Fig. 4

16

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

Fig. 5

17

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

Fig. 6

18

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

Fig. 7

7 7a

7b 7c 7d

19

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

Fig. 8-9

TRIPLET SECTION

20

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

Fig. 9b

21

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

Fig. 9c

22

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

Fig. 10

23

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

Fig. 11

24

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

Fig. 12

25

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

Fig. 12b

26

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

Fig. 13

27

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

Fig. 14

28

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

Fig. 15

29

30 30ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

Fig. 15b

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

Fig. 16

HINGES AND ROTATIONS

31

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

Fig. 16b

32

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

Fig. 17

33

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

Fig. 17b

34

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

Fig. 18

35

36ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

36

Fig. 19 Models by Florence Yuen, San Francisco State University.

37ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

37

38ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

38

39ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

39

40ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

40

Fig. 20

41ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

42ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

43ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

44ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

45ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

46ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

46

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY47

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY48

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

Circular grid by Slate Werner, San Francisco State University

49

50ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

51ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

51

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY52

53ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

53

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY54

ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY55

56ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

56

57ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

57

58ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

59ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

59

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

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.

Giorgio Scarpa online.sfsu.edu/trogu/scarpa

Cube Section online.sfsu.edu/trogu/scarpa/cube

PDF of slides and handouttrogu.com/Documents/conference/2013_drs_cumulus_oslo

Contacttrogu@sfsu.edu design.sfsu.edu trogu.com go to first slide

Music: Discovery At Night by Ludovico Einaudi 60