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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
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12ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
B A B
E
D
C C
D
E1 2 3 4 5
TWIN SECTION
Fig. 1
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13ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 2
C
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14ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 3
C C
C C
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15ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
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
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17ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 6
B
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BD
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B
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18ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
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19ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 8-11
8 9
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20ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
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21ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 14
C
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22ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
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24ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
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26ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
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27ROTATIONAL GEOMETRY AS A TEACHING TOOL: APPLYING THE WORK OF GIORGIO SCARPA P INO TROGU – SAN FRANCISCO STATE UNIVERSITY
Fig. 20
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CDE
B B
B
B
B
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Z
ED
CB
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Fig. 22
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HINGES AND ROTATIONS
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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