Abstract
The creation processes of artists and architects are often seen as a throw of the genius. Looking for methods in designing remain a question for research in architecture and other creative disciplines. Geometry as the science to capture, develop and generate structures and forms can give a scientific methodical background for designing. Thinking in structures is part of the understanding of mathematics as a general structural science. Works of art and architecture developed on the basis of geometric structures had been analyzed. The chosen examples are related to tessellations and polyhedra. Those examples include studies on the works of the artists Olafur Eliasson and Gerard Caris as well as architectural works of Richard Buckminster Fuller, Konrad Wachsmann, and Anne Tyng. Exploring those examples reveal necessarily profound knowledge in the relationships and characteristics of tessellations and polyhedra. Students’ research studies and design projects demonstrate an actual workability of such a geometric structural approach in architectural education.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bense M (1965) Aesthetica. Einführung in die neue Ästhetik. Agis, Baden-Baden, 2nd expanded edn (1982)
Walther E (2004) Philosoph in technischer Zeit – Stuttgarter Engagement. Interview mit Elisabeth Walther, Teil 2. In: Büscher B, Herrmann H-C von, Hoffmann, C Ästhetik als Programm. Max Bense / Daten und Streuungen. Diaphanes, Berlin, p 72
Kotnik T (2020) Architecture as science of structures. In: Leopold C, Robeller C, Weber U (eds) Research culture in architecture. Cross-disciplinary collaboration. Birkhäuser Verlag Basel, pp 183–192
March L, Steadman P (1974) The geometry of environment. MIT Press, Cambridge, MA, p 27
Leopold C (2015) Structural and geometric concepts for architectural design processes. In: Boletim da APROGED n.º 32, Lisboa, Portugal, Setembro, pp 5–15
Caris G http://gerardcaris.com/statements.html. Last accessed 1 June 2020
Leopold C (2019) Geometric and aesthetic concepts based on pentagonal structures. In: Sriraman B (ed) Handbook of the mathematics of the arts and sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-70658-0_20-1
Eliasson O https://olafureliasson.net. Last accessed 1 June 2020
Thorsteinn E (1977) Das Spielen mit den Formen der Natur. Life After Birth (LAB), Reykjavik. https://olafureliasson.net/archive/publication/MDA116983/das-spielen-mit-dem-formen-der-natur. Last accessed 1 June 2020
Eliasson O. Your sound galaxy. https://olafureliasson.net/archive/artwork/WEK107427/your-sound-galaxy. Last accessed 1 June 2020
Eliasson O (2019) Studio: Live from soe: Advanced Geometry. https://www.soe.tv/channels/studio#live-from-soe-advanced-geometry. Last accessed 1 June 2020
López-Pérez D (2020) R. Buckminster Fuller. Pattern Thinking. Lars Müller Publishers, Zürich, p 162ff
Wachsmann K (1959) Wendepunkt im Bauen. Krausskopf-Verlag, Wiesbaden
Schaffner I (ed) (2011) Anne Tyng: inhabiting geometry. Institute of Contemporary Art, University of Pennsylvania, Philadelphia
Càndito C (2020) The role of geometry in the architecture of Louis Kahn and Anne Tyng. In: Magnaghi-Delfino P et al (eds) Faces of Geometry. From Agnesi to Mirzakhani. Springer, Cham, pp 57–66
Tyng A (2005) Number is form and form is number. Interview by Robert Kirkbride. Nexus Netw J 7:127–138
Acknowledgements
Many thanks to the mentioned students in my courses for their engaged work. The artist Gerard Caris gave me the opportunity to study his works through discussions, studio visits and catalogues. The published material and visits of exhibitions of Olafur Eliasson enable deep insights into the creative processes in his studio.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Leopold, C. (2021). Geometric Structures as Design Approach. In: Magnaghi-Delfino, P., Mele, G., Norando, T. (eds) Faces of Geometry. Lecture Notes in Networks and Systems, vol 172. Springer, Cham. https://doi.org/10.1007/978-3-030-63702-6_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-63702-6_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-63701-9
Online ISBN: 978-3-030-63702-6
eBook Packages: EngineeringEngineering (R0)