Skip to main content

Visual Representations for Spatial Thinking

  • Chapter
  • First Online:

Abstract

Images are signs, which are essential for engineering and all creative disciplines. Our relation to the world is always intermediated by signs. Drawings are used in architecture and other creative disciplines in the design processes to develop and refine ideas and concepts. Finally the results of the design processes are also represented by drawings. Drawings or more general visual representations in its various characteristics have to be understood as elements of a sign system. The foundations of the drawings are the geometrical figures representing the ideas and the geometric projection methods. The role of abstraction for the drawings is expressed by the relationship between ideas and geometric figures. Geometry gives the background for various kinds and levels of abstractions. The most important evaluation criterion for the quality of representations has to be, how the object of planning and designing is represented in its essential aspects. It is necessary to isolate the various aspects and to represent each of them with an appropriate visualization. The possibilities of digital 3D-representations do not change the main characteristics. The 3D-model is also a visual representation with the difference that the recipient is able to see the model from various viewpoints and to produce his/her own images. Understanding the different geometric projection methods for receiving 2D-images of the spatial object is still necessary, even more to control the navigation process in the 3D-model and its parameters. These considerations lead to the following topics essential for the education in graphics: Geometric projection methods with their characteristics behind the various visual representations, visual representations as signs in the communication process with their different requirements and references, backgrounds and methods of a wide range of visual representations, practiced in reasonable application scenarios integrated in study projects. The relationship between spatial thinking and visual representations will be emphasized and the ideas illustrated by some students’ examples.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Bense, M.: Das Universum der Zeichen. Agis Verlag, Baden-Baden (1983)

    Google Scholar 

  2. Bernays, P.: The philosophy of mathematics and Hilbert’s proof theory. www.phil.cmu.edu/projects/bernays/Pdf/bernays09_2002-07-26.pdf (1930)

  3. Bill, M.: Präzisierungen zur konkreten Gestaltung. Zürich (1947)

    Google Scholar 

  4. Burmester, L.: Grundzüge der Reliefperspective nebst Anwendung zur Herstellung reliefperspectivischer Modelle. Leipzig (1883)

    Google Scholar 

  5. El-Said, I., Parman, A.: Geometric concept in Islamic art (1976)

    Google Scholar 

  6. Fachbereich Architektur (ed.): rup - Rebuilding Ulm Pavilion. Technische Universität Kaiserslautern, Kaiserslautern (2012)

    Google Scholar 

  7. Fachbereich Architektur (ed.): All School Charrette Stirling Hoch3. Technische Universität Kaiserslautern, Kaiserslautern (2013)

    Google Scholar 

  8. Fonatti, F.: Elementare Gestaltungsprinzipien in der Architektur. Buch- und Kunstverlag, Wien 1982, 5th edn (1987)

    Google Scholar 

  9. Knauer, R.: Entwerfen und Darstellen. Die Zeichnung als Mittel des architektonischen Entwurfs. Ernst & Sohn, Berlin (1991)

    Google Scholar 

  10. Leopold, C.: Geometrische Grundlagen der Architekturdarstellung. Springer Vieweg, Wiesbaden. 4th edn (2012)

    Google Scholar 

  11. Leopold, C., Kretzer, A., García-Hípola, M., Lorenzo Cueva, C., Cocchiarella, L., Leoni, F., Dillenburger, B., Hao, H. (ed.): structural architecture - geometry, code and design II. A Hermit’s Cabin. Erasmus Intensive Programme in Kaiserslautern 2012. Technische Universität Kaiserslautern, Germany. http://issuu.com/architektur.uni-kl/docs/summerschool-kaiserslautern2012 (2013)

  12. March, L., Steadman, P.: The Geometry of Environment (1971)

    Google Scholar 

  13. Malvasia, C.C.: Felsina Pittrice. Vite de pittori bolognesi, vol. 1, Bologna, p. 468. https://archive.org/stream/felsinapittricev01malv (1678)

  14. Metzger, W.: Gesetze des Sehens. Waldemar Kramer Frankfurt 1975 (1936); engl.: Laws of Seeing. MIT Press Cambridge (2006)

    Google Scholar 

  15. Moholy-Nagy, L.: Komposition Q XX, 1923, © VG Bild-Kunst, Bonn. www.artmagazine.cc/ (2014)

  16. Oechslin, W.: Geometry and line. The Vitruvian “Science” of architectural drawing. In: Daidalos 1, pp. 20–35 (1981)

    Google Scholar 

  17. Peirce, C.S.: On the foundations of mathematics. Ms. 7, §1. (1903)

    Google Scholar 

  18. Peirce, C.S.: CP 2.92 (1902)

    Google Scholar 

  19. Schneider, B.: Perspective refers to the viewer, axonometry refers to the object. In: Daidalos 1, pp. 81–95 (1981)

    Google Scholar 

  20. Stirling, J., Wilford, M. and Associates: Buildings & projects 1975–1992. Hatje Cantz, Stuttgart (1994)

    Google Scholar 

  21. Ulmer Museum/HfG-Archiv (ed.): ulmer modelle—modelle nach ulm. Hochschule Gestaltung Ulm 1952–1968. Ulm (2003)

    Google Scholar 

  22. Wittkower, R.: Allegory and the migration of symbols. Thames & Hudson, London (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Cornelie Leopold .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Leopold, C. (2015). Visual Representations for Spatial Thinking. In: Cocchiarella, L. (eds) The Visual Language of Technique. Springer, Cham. https://doi.org/10.1007/978-3-319-05326-4_5

Download citation

Publish with us

Policies and ethics