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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
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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
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 2
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 2b
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 3
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 4
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 5
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 6
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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
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 8-9
TRIPLET SECTION
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 9b
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 9c
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 10
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 11
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 12
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 12b
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 13
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 14
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 15
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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
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 16b
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 17
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 17b
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ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 18
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36ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
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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
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38ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
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39ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
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40ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY
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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
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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
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50ROTATIONAL 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 UNIVERSITY52
53ROTATIONAL 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 UNIVERSITY54
ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA PINO TROGU – SAN FRANCISCO STATE UNIVERSITY55
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58ROTATIONAL 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
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
[email protected] design.sfsu.edu trogu.com go to first slide
Music: Discovery At Night by Ludovico Einaudi 60