Skip to main content
Top

2020 | OriginalPaper | Chapter

To Observe, to Deduce, to Reconstruct, to Know

Authors : Franca Caliò, Elena Marchetti

Published in: Faces of Geometry. From Agnesi to Mirzakhani

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper deals with a didactic experience gained in courses that are part of the first year of studies for the Schools of Architecture and Design at Politecnico di Milano. One of the themes of these courses concerns geometric problems, in order to introduce students to 3D space. The peculiarity of the didactic method used is, first of all, to induce the student to observe the real object by identifying its geometric characteristics (symmetries, proportions, contours, and surfaces enveloping it).

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Betti R, Marchetti E, Rossi CL (eds) (2007) Simmetria una scoperta matematica, 2nd edn. Polipress, Milano. ISBN/ISNN: 97888-7398-031-5, ISBN/ISNN: 97888-7398-074-2 Betti R, Marchetti E, Rossi CL (eds) (2007) Simmetria una scoperta matematica, 2nd edn. Polipress, Milano. ISBN/ISNN: 97888-7398-031-5, ISBN/ISNN: 97888-7398-074-2
2.
go back to reference Caliò F, Lazzari A (2016) Elements of mathematics. Società Editrice Esculapio, Bologna. ISBN 978-88-9385-052-0 Caliò F, Lazzari A (2016) Elements of mathematics. Società Editrice Esculapio, Bologna. ISBN 978-88-9385-052-0
3.
go back to reference Caliò F, Scarazzini E (1997) Metodi matematici per la generazione di curve e superfici, 2nd edn. CittàStudiEdizione, Milano. ISBN 978-88-251-7302-4 Caliò F, Scarazzini E (1997) Metodi matematici per la generazione di curve e superfici, 2nd edn. CittàStudiEdizione, Milano. ISBN 978-88-251-7302-4
4.
go back to reference Caliò F, Marchetti E (2000) Generation of architectural forms through linear algebra. Nexus III, Architecture and mathematics. Pacini Editori, Pisa, pp 9–22. Published. In: Williams K, Ostwald MJ (eds) Architecture and mathematics from antiquity to the future, vol II: The 1500 s to the future). Springer International Publishing Switzerland, pp 483–496. ISBN: 9783319001432 Caliò F, Marchetti E (2000) Generation of architectural forms through linear algebra. Nexus III, Architecture and mathematics. Pacini Editori, Pisa, pp 9–22. Published. In: Williams K, Ostwald MJ (eds) Architecture and mathematics from antiquity to the future, vol II: The 1500 s to the future). Springer International Publishing Switzerland, pp 483–496. ISBN: 9783319001432
5.
go back to reference Caliò F, Argeri M, Lazzari A, Sesana D (2011) Geometria vettoriale per la grafica. DeAgostini Scuola, Torino. ISBN 978-88-251-7366-6 Caliò F, Argeri M, Lazzari A, Sesana D (2011) Geometria vettoriale per la grafica. DeAgostini Scuola, Torino. ISBN 978-88-251-7366-6
6.
go back to reference Caliò F, Miglio E (2012) City life: The dinamic of growth. In: Rossi M, Duvernoy S, Mele G (eds) Maths in the city: a mathematical tour of Milanese Architecture. Maggioli editore, pp 191–195. ISBN: 9788838761287 Caliò F, Miglio E (2012) City life: The dinamic of growth. In: Rossi M, Duvernoy S, Mele G (eds) Maths in the city: a mathematical tour of Milanese Architecture. Maggioli editore, pp 191–195. ISBN: 9788838761287
7.
go back to reference Caliò F, Marchetti E (2018) Two architectures: two compared geometries. Nexus Netw J 1:1–19. ISSN: 1522-4600 Caliò F, Marchetti E (2018) Two architectures: two compared geometries. Nexus Netw J 1:1–19. ISSN: 1522-4600
8.
go back to reference Caliò F, Lazzari A, Sesana D (2010) Curve e superfici: realizzazione di forme attraverso SCILAB. Pitagora Editrice, Bologna. ISBN 883-71-1818-X Caliò F, Lazzari A, Sesana D (2010) Curve e superfici: realizzazione di forme attraverso SCILAB. Pitagora Editrice, Bologna. ISBN 883-71-1818-X
9.
go back to reference Caliò F, Scotti A (2014) Mathematics: method and creativity in fabric creation. In: Proceedings of international congress CIMODE, pp 1–8 on CD ISBN 978-88-6493-027-5 Caliò F, Scotti A (2014) Mathematics: method and creativity in fabric creation. In: Proceedings of international congress CIMODE, pp 1–8 on CD ISBN 978-88-6493-027-5
10.
go back to reference Marchetti E, Costa LR (2002) The fire tower. Nexus Netw J 4(2):38–53.ISSN: 1590-5896/158CrossRef Marchetti E, Costa LR (2002) The fire tower. Nexus Netw J 4(2):38–53.ISSN: 1590-5896/158CrossRef
11.
go back to reference Marchetti E, Costa LR (2012) The Milan Cathedral (il Duomo). In: Rossi M, Duvernoy S, Mele G (eds) Maths in the city: a mathematical tour of Milanese architecture. Maggioli editore, pp 26–35. ISBN: 9788838761287 Marchetti E, Costa LR (2012) The Milan Cathedral (il Duomo). In: Rossi M, Duvernoy S, Mele G (eds) Maths in the city: a mathematical tour of Milanese architecture. Maggioli editore, pp 26–35. ISBN: 9788838761287
12.
go back to reference Pottmann H, Asperl A, Hofer M, Kilian A, Bentley D (2007) Architectural geometry, vol 724. Bentley Institute Press. ISBN 978-1-934493-04-5 Pottmann H, Asperl A, Hofer M, Kilian A, Bentley D (2007) Architectural geometry, vol 724. Bentley Institute Press. ISBN 978-1-934493-04-5
Metadata
Title
To Observe, to Deduce, to Reconstruct, to Know
Authors
Franca Caliò
Elena Marchetti
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-29796-1_4

Premium Partner