1. PINO TROGU – SAN FRANCISCO STATE UNIVERSITY ROTATIONAL GEOMETRY AS A TEACHING TOOL : APPLYING THE WORK OF GIORGIO SCARPA DRS // CUMULUS – OSLO, NORWAY THE 2ND INTERNATIONAL CONFERENCE FOR DESIGN EDUCATION RESEARCHERS 15 MAY 2013
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2. ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY 2

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

12. TWIN SECTION
Fig. 1 12
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

13. Fig. 2 13
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

14. Fig. 2b 14
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

15. Fig. 3 15
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

16. Fig. 4 16
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

17. Fig. 5 17
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

18. Fig. 6 18
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

19. 7 7a 7b 7c 7d
Fig. 7 19
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

20. TRIPLET SECTION
Fig. 8-9 20
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

21. Fig. 9b 21
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

22. Fig. 9c 22
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

23. Fig. 10 23
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

24. Fig. 11 24
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

25. Fig. 12 25
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

26. Fig. 12b 26
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

27. Fig. 13 27
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

28. Fig. 14 28
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

29. Fig. 15 29
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

30. Fig. 15b 30
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

31. HINGES AND ROTATIONS Fig. 16 31
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

32. Fig. 16b 32
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33. Fig. 17 33
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34. Fig. 17b 34
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35. Fig. 18 35
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36. Fig. 19 36 Models by Florence Yuen, San Francisco State University.
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

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

49. 49 Circular grid by Slate Werner, San Francisco State University
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY

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60. 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 handout
trogu.com/Documents/conference/2013_drs_cumulus_oslo
Contact
design.sfsu.edu trogu.com go to first slide
Music: Discovery At Night by Ludovico Einaudi 60
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY