From geometrically to algebraically described hyperbolic paraboloids: An optimisation-based analysis of the Philips Pavilion

Thomas Fischer, Thomas Wortmann

Research output: Chapter in Book or Report/Conference proceedingConference Proceedingpeer-review

1 Citation (Scopus)

Abstract

In this paper, we present a procedure to derive algebraic parameters from geometrically described truncated hyperbolic paraboloid surfaces. The procedure uses parametric modelling and optimisation to converge on close algebraic approximations of hyperbolic paraboloid geometry through a successive breakdown of vast search spaces. We illustrate this procedure with its application to the surfaces of the 1958 Philips Pavilion designed by Le Corbusier and Iannis Xenakis. This application yielded previously unavailable parametric data of this building in algebraic form. It highlights the power of the parametric design and optimisation toolkit, both in terms of automated search and epistemological enablement.

Original languageEnglish
Title of host publicationRE
Subtitle of host publicationAnthropocene, Design in the Age of Humans - Proceedings of the 25th International Conference on Computer-Aided Architectural Design Research in Asia, CAADRIA 2020
EditorsDominik Holzer, Walaiporn Nakapan, Anastasia Globa, Immanuel Koh
PublisherThe Association for Computer-Aided Architectural Design Research in Asia (CAADRIA)
Pages435-444
Number of pages10
ISBN (Electronic)9789887891734
Publication statusPublished - 2020
Event25th International Conference on Computer-Aided Architectural Design Research in Asia, CAADRIA 2020 - Bangkok, Thailand
Duration: 5 Aug 20206 Aug 2020

Publication series

NameRE: Anthropocene, Design in the Age of Humans - Proceedings of the 25th International Conference on Computer-Aided Architectural Design Research in Asia, CAADRIA 2020
Volume1

Conference

Conference25th International Conference on Computer-Aided Architectural Design Research in Asia, CAADRIA 2020
Country/TerritoryThailand
CityBangkok
Period5/08/206/08/20

Keywords

  • Geometry reconstruction
  • Hyperbolic paraboloid
  • Optimisation
  • Parametric analysis
  • Ruled surfaces

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